Quantum Computing in the NISQ era and beyond

John Preskill

Institute for Quantum Information and Matter and Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena CA 91125, USA

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Noisy Intermediate-Scale Quantum (NISQ) technology will be available in the near future. Quantum computers with 50-100 qubits may be able to perform tasks which surpass the capabilities of today's classical digital computers, but noise in quantum gates will limit the size of quantum circuits that can be executed reliably. NISQ devices will be useful tools for exploring many-body quantum physics, and may have other useful applications, but the 100-qubit quantum computer will not change the world right away - we should regard it as a significant step toward the more powerful quantum technologies of the future. Quantum technologists should continue to strive for more accurate quantum gates and, eventually, fully fault-tolerant quantum computing.

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► References

[1] P. W. Shor, Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer, SIAM Rev. 41, 303-332 (1999), 10.1137/​S0036144598347011.

[2] A. P. Lund, M. J. Bremner, and T. C. Ralph, Quantum sampling problems, BosonSampling, and quantum supremacy, npj Quantum Information 3: 15 (2017), arXiv:1702.03061, 10.1038/​s41534-017-0018-2.

[3] A. W. Harrow and A. Montanaro, Quantum computational supremacy, Nature 549, 203-209 (2017), 10.1038/​nature23458.

[4] S. P. Jordan, Quantum algorithm zoo, http:/​/​math.nist.gov/​quantum/​zoo/​.

[5] A. Montanaro, Quantum algorithms: an overview, npj Quantum Information, 15023 (2016), arXiv:1511.04206, 10.1038/​npjqi.2015.23.

[6] L. Grover, Quantum mechanics helps in searching for a needle in a haystack, Phys. Rev. Lett. 79, 325 (1997), arXiv:quant-ph/​9706033, 10.1103/​PhysRevLett.79.325.

[7] C. H. Bennett, E. Bernstein, G. Brassard, and U. Vazirani, Strengths and weaknesses of quantum computing, SIAM J. Comput. 26, 1510-1523 (1997), arXiv:quant-ph/​9701001, 10.1137/​S0097539796300933.

[8] R. B. Laughlin and D. Pines, The theory of everything, PNAS 97, 28-31 (2000), 10.1073/​pnas.97.1.28.

[9] R. P. Feynman, Simulating physics with computers, Int. J. Theor. Physics 21, 467-488 (1982).

[10] D. Gottesman, An introduction to quantum error correction and fault-tolerant quantum computation, Proceedings of Symposia in Applied Matthematics 68 (2010), arXiv:0904.2557.

[11] S. Boixo, S. V. Isakov, V. N. Smelyansky, R. Babbush, N. Ding, Z. Jiang, M. J. Bremner, J. M. Martinis, and H. Neven, Characterizing quantum supremacy in near-term devices, Nature Physics 14, 595-600 (2018), arXiv:1608.00263 (2016), 10.1038/​s41567-018-0124-x.

[12] S. Aaronson and L. Chen, Complexity-theoretic foundations of quantum supremacy experiments, arXiv:1612.05903 (2017).

[13] E. Pednault, J. A. Gunnels, G. Nannicini, L. Horesh, T. Magerlein, E. Solomonik, and R. Wisnieff, Breaking the 49-qubit barrier in the simulation of quantum circuits, arXiv:1710.05867 (2017).

[14] C. J. Ballance, T. P. Harty, N. M. Linke, M. A. Sepiol, and D. M. Lucas, High-fidelity quantum logic gates using trapped-ion hyperfine qubits, Phys. Rev. Lett. 117, 060504 (2016), arXiv:1512.04600, 10.1103/​PhysRevLett.117.060504.

[15] R. Barends, J. Kelly, A. Megrant, A. Veitia, D. Sank, E. Jeffrey, T. C. White, J. Mutus, A. G. Fowler, B. Campbell, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, C. Neill, P. O'Malley, P. Roushan, A. Vainsencher, J. Wenner, A. N. Korotkov, A. N. Cleland, and J. M. Martinis, Superconducting quantum circuits at the surface code threshold for fault tolerance, Nature 508, 500-503 (2014), arXiv:1402.4848, 10.1038/​nature13171.

[16] D. J. Bernstein, J. Buchmann, E. Dahmen, editors, Post-Quantum Cryptography, Springer (2009), 10.1007/​978-3-540-88702-7.

[17] R. Alléaume, C. Branciard, J. Bouda, T. Debuisschert, M. Dianati, N. Gisin, M. Godfrey, P. Grangier, T. Länger, N. Lütkenhaus, C. Monyk, P. Painchault, M. Peev, A. Poppe, T. Pornin, J. Rarity, R. Renner, G. Ribordy, M. Riguidel, L. Salvail, A. Shields, H. Weinfurter, and A. Zeilinger, Using quantum key distribution for cryptographic purposes: a survey, Theoretical Computer Science 560, 62-81 (2014), arXiv:quant-ph/​0701168, 10.1016/​j.tcs.2014.09.018.

[18] S. Muralidharan, L. Li, J. Kim, N Lütkenhaus, M. D. Lukin, and L. Jiang, Efficient long distance quantum communication, Scientific Reports 6, 20463 (2016), arXiv:1509.08435, 10.1038/​srep20463.

[19] P. Bierhorst, E. Knill, S. Glancy, Y. Zhang, A. Mink, S. Jordan, A. Rommal, Y.-K. Liu, B. Christensen, S. W. Nam, M. J. Stevens, and L. K. Shalm, Experimentally generated randomness certified by the impossibility of superluminal signals, Nature 556, 223-226 (2018), arXiv:1803.06219, 10.1038/​s41586-018-0019-0.

[20] Z. Brakerski, P. Christiano, U. Mahadev, U. Vazirani, and T. Vidick, Certifiable randomness from a single quantum device, arXiv:1804.00640 (2018).

[21] C. L. Degen, F. Reinhard, and P. Cappellaro, Quantum sensing, Rev. Mod. Phys. 89, 035002 (2017), arXiv:1611.04691, 10.1103/​RevModPhys.89.035002.

[22] J. Preskill, Quantum computing and the entanglement frontier, 25th Solvay Conference on Physics (2011), arXiv:1203.5813.

[23] S. Khot, Hardness of approximation, Proceedings of the International Congress of Mathematicians (2014).

[24] E. Farhi, J. Goldstone, and S. Gutmann, A quantum approximate optimization algorithm, arXiv:1411.4028 (2014).

[25] J. R. McClean, J. Romero, R. Babbush, and A. Aspuru-Guzik, The theory of variational hybrid quantum-classical algorithms, New J. Phys. 18, 023023 (2016), arXiv:1509.04279, 10.1038/​ncomms5213.

[26] D. A. Spielman and S.-H. Teng, Smoothed analysis of algorithms: why the simplex algorithm usually takes polynomial time, Journal of the ACM 51, 385-463 (2004), arXiv:cs/​0111050, 10.1145/​990308.990310.

[27] Y. LeCun, Y. Bengio, and G. Hinton, Deep learning, Nature 521, 436-444 (2015), 10.1038/​nature14539.

[28] T. F. Rønnow, Z. Wang, J. Job, S. Boixo, S. V. Isakov, D. Wecker, J. M. Martinis, D. A. Lidar, and M. Troyer, Defining and detecting quantum speedup, Science 345, 420-424 (2014), 10.1126/​science.1252319.

[29] S. Mandrà, H. G. Katzgraber, and C. Thomas, The pitfalls of planar spin-glass benchmarks: raising the bar for quantum annealers (again), Quantum Sci. Technol. 2, 038501 (2017), arXiv:1703.00622, 10.1088/​2058-9565/​aa7877.

[30] T. Albash and D. A. Lidar, Adiabatic quantum computing, Rev. Mod. Phys. 90, 015002 (2018), arXiv:1611.04471, 10.1103/​RevModPhys.90.015002.

[31] D. Aharonov, W. van Dam, J. Kempe, Z. Landau, S. Lloyd, and O. Regev, Adiabatic quantum computation is equivalent to standard quantum computation, SIAM Rev. 50, 755-787 (2008), arXiv:quant-ph/​0405098.

[32] S. Bravyi, D. DiVincenzo, R. I. Oliveira, and B. M. Terhal, The complexity of stoquastic local Hamiltonian problems, Quant. Inf. Comp. 8, 0361-0385 (2008), arXiv:quant-ph/​0606140.

[33] M. Jarret, S. P. Jordan, and B. Lackey, Adiabatic optimization versus diffusion Monte Carlo, Phys. Rev. A 94, 042318 (2016), arXiv:1607.03389, 10.1103/​PhysRevA.94.042318.

[34] A. D. King, J. Carrasquilla, I. Ozfidan, J. Raymond, E. Andriyash, A. Berkley, M. Reis, T. M. Lanting, R. Harris, G. Poulin-Lamarre, A. Yu. Smirnov, C. Rich, F. Altomare, P. Bunyk, J. Whittaker, L. Swenson, E. Hoskinson, Y. Sato, M. Volkmann, E. Ladizinsky, M. Johnson, J. Hilton, and M. H. Amin, Observation of topological phenomena in a programmable lattice of 1,800 qubits, arXiv:1803.02047 (2018).

[35] I. H. Kim, Noise-resilient preparation of quantum many-body ground states, arXiv:1703.00032 (2017).

[36] I. H. Kim and B. Swingle, Robust entanglement renormalization on a noisy quantum computer, arXiv:1711.07500 (2017).

[37] J. Biamonte, P. Wittek, N. Pancotti, P. Rebentrost, N. Wiebe, and S. Lloyd, Quantum machine learning, Nature 549, 195-202 (2017), arXiv:1611.09347, 10.1038/​nature23474.

[38] S. Aaronson, Read the fine print, Nature Physics 11, 291-293 (2015), 10.1038/​nphys3272.

[39] X. Gao, Z. Zhang, and L. Duan, An efficient quantum algorithm for generative machine learning, arXiv:1711.02038 (2017).

[40] A. W. Harrow, A. Hassidim, and S. Lloyd, Quantum algorithm for linear systems of equations, Phys. Rev. Lett. 103, 150502 (2009), arXiv:0811.3171, 10.1103/​PhysRevLett.103.150502.

[41] B. D. Clader, B. C. Jacobs, and C. R. Sprouse, Preconditioned quantum linear system algorithm, Phys. Rev. Lett. 110, 250504 (2013), arXiv:1301.2340, 10.1103/​PhysRevLett.110.250504.

[42] A. Montanaro and S. Pallister, Quantum algorithms and the finite element method, Phys. Rev. A 93, 032324 (2016), arXiv:1512.05903, 10.1103/​PhysRevA.93.032324.

[43] P. C. S. Costa, S. Jordan, and A. Ostrander, Quantum algorithm for simulating the wave equation, arXiv:1711.05394 (2017).

[44] I. Kerenidis and A. Prakash, Quantum recommendation systems, arXiv:1603.08675 (2016).

[45] E. Tang, A quantum-inspired classical algorithm for recommendation systems, Electronic Colloquium on Computational Complexity, TR18-12 (2018).

[46] F. G. S. L. Brandão and K. Svore, Quantum speed-ups for semidefinite programming, Proceedings of FOCS 2017, arXiv:1609.05537 (2017).

[47] F. G. S. L. Brandão, A. Kalev, T. Li, C. Y.-Y. Lin, K. M. Svore, and X. Wu, Exponential quantum speed-ups for semidefinite programming with applications to quantum learning, arXiv:1710.02581 (2017).

[48] M. Reiher, N. Wiebe, K. M. Svore, D. Wecker, and M. Troyer, Elucidating reaction mechanisms on quantum computers, PNAS 117, 7555-7560 (2017), arXiv:1605.03590, 10.1073/​pnas.1619152114.

[49] D. Wecker, M. B. Hastings, N. Wiebe, B. K. Clark, C. Nayak, and M. Troyer, Solving strongly correlated electron models on a quantum computer, Phys. Rev. A 92, 062310 (2015), arXiv:1506.05135, 10.1103/​PhysRevA.92.062318.

[50] J. Olson, Y. Cao, J. Romero, P. Johnson, P.-L. Dallaire-Demers, N. Sawaya, P. Narang, I. Kivlichan, M. Wasielewski, A. Aspuru-Guzik, Quantum information and computation for chemistry, NSF Workshop Report, arXiv:1706.05413 (2017).

[51] H. Bernien, S. Schwartz, A. Keesling, H. Levine, A. Omran, H. Pichler, S. Choi, A. S. Zibrov, M. Endres, M. Greiner, V Vuletić, and M. D. Lukin, Probing many-body dynamics on a 51-atom quantum simulator, Nature 551, 579-584 (2017), arXiv:1707.04344, 10.1038/​nature24622.

[52] J. Zhang, G. Pagano, P. W. Hess, A. Kyprianidis, P. Becker, H. Kaplan, A. V. Gorshkov, Z.-X. Gong, and C. Monroe, Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator, arXiv:1708.01044 (2017), 10.1038/​nature24654.

[53] E. T. Campbell, B. M. Terhal, and C. Vuillot, The steep road towards robust and universal quantum computation, arXiv:1612.07330 (2016).

[54] J. J. Wallman and J. Emerson, Noise tailoring for scalable quantum computation via randomized compiling, Phys. Rev. A 94, 052325 (2016), arXiv:1512:01098, 10.1103/​PhysRevA.94.052325.

[55] J. Combes, C. Granade, C. Ferrie, and S. T. Flammia, Logical randomized benchmarking, arXiv:1702.03688 (2017).

[56] A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, Surface codes: towards practical large-scale quantum computation, Phys. Rev. A 86, 032324 (2012), arXiv:1208.0928, 10.1103/​PhysRevA.86.032324.

[57] S. Das Sarma, M. Freedman, and C. Nayak, Majorana zero modes and topological quantum computation, npj Quantum Information 1, 15001 (2015), arXiv:1501.02813, 10.1038/​npjqi.2015.1.

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[1] Patrick Rall, Daniel Liang, Jeremy Cook, and William Kretschmer, "Simulation of qubit quantum circuits via Pauli propagation", Physical Review A 99 6, 062337 (2019).

[2] Kaitlin N. Smith and Mitchell A. Thornton, 2019 IEEE 62nd International Midwest Symposium on Circuits and Systems (MWSCAS) 73 (2019) ISBN:978-1-7281-2788-0.

[3] Albert T. Schmitz and Sonika Johri, "A quantum solution for efficient use of symmetries in the simulation of many-body systems", npj Quantum Information 6 1, 2 (2020).

[4] Yiğit Subaşı, Lukasz Cincio, and Patrick J Coles, "Entanglement spectroscopy with a depth-two quantum circuit", Journal of Physics A: Mathematical and Theoretical 52 4, 044001 (2019).

[5] Eyal Bairey, Itai Arad, and Netanel H. Lindner, "Learning a Local Hamiltonian from Local Measurements", arXiv:1807.04564, Physical Review Letters 122 2, 020504 (2019).

[6] Yimin Ge and Vedran Dunjko, "A hybrid algorithm framework for small quantum computers with application to finding Hamiltonian cycles", Journal of Mathematical Physics 61 1, 012201 (2020).

[7] Agnes Valenti, Evert van Nieuwenburg, Sebastian Huber, and Eliska Greplova, "Hamiltonian learning for quantum error correction", Physical Review Research 1 3, 033092 (2019).

[8] Subhayan Sahu and Shasanka M. Roy, "Maximal entanglement and state transfer using Arthurs–Kelly type interaction for qubits", The European Physical Journal D 72 12, 211 (2018).

[9] Anonymous, "Waiting for the Quantum Simulation Revolution", Physics 12, 112 (2019).

[10] Shihao Zhang, Pengyun Li, Bo Wang, Qiang Zeng, and Xiangdong Zhang, "Implementation of quantum permutation algorithm with classical light", Journal of Physics Communications 3 1, 015008 (2019).

[11] Michael Brooks, "Beyond quantum supremacy: the hunt for useful quantum computers", Nature 574 7776, 19 (2019).

[12] Andreas Elben, Benoît Vermersch, Rick van Bijnen, Christian Kokail, Tiff Brydges, Christine Maier, Manoj K. Joshi, Rainer Blatt, Christian F. Roos, and Peter Zoller, "Cross-Platform Verification of Intermediate Scale Quantum Devices", Physical Review Letters 124 1, 010504 (2020).

[13] Ken M. Nakanishi, Kosuke Mitarai, and Keisuke Fujii, "Subspace-search variational quantum eigensolver for excited states", Physical Review Research 1 3, 033062 (2019).

[14] V. Kaushal, B. Lekitsch, A. Stahl, J. Hilder, D. Pijn, C. Schmiegelow, A. Bermudez, M. Müller, F. Schmidt-Kaler, and U. Poschinger, "Shuttling-based trapped-ion quantum information processing", AVS Quantum Science 2 1, 014101 (2020).

[15] Dan-Bo Zhang and Tao Yin, "Collective optimization for variational quantum eigensolvers", Physical Review A 101 3, 032311 (2020).

[16] Quntao Zhuang and Zheshen Zhang, "Physical-Layer Supervised Learning Assisted by an Entangled Sensor Network", Physical Review X 9 4, 041023 (2019).

[17] Kazuki Ikeda, Yuma Nakamura, and Travis S. Humble, "Application of Quantum Annealing to Nurse Scheduling Problem", Scientific Reports 9 1, 12837 (2019).

[18] Sam McArdle, Xiao Yuan, and Simon Benjamin, "Error-Mitigated Digital Quantum Simulation", Physical Review Letters 122 18, 180501 (2019).

[19] Maria Schuld and Francesco Petruccione, Quantum Science and Technology 273 (2018) ISBN:978-3-319-96423-2.

[20] Damian S. Steiger, Thomas Häner, and Matthias Troyer, "Advantages of a modular high-level quantum programming framework", arXiv:1806.01861, Microprocessors and Microsystems 66, 81 (2019).

[21] Colin D. Bruzewicz, John Chiaverini, Robert McConnell, and Jeremy M. Sage, "Trapped-ion quantum computing: Progress and challenges", Applied Physics Reviews 6 2, 021314 (2019).

[22] Hammam Qassim, Joel J. Wallman, and Joseph Emerson, "Clifford recompilation for faster classical simulation of quantum circuits", Quantum 3, 170 (2019).

[23] Samuele Ferracin, Theodoros Kapourniotis, and Animesh Datta, "Accrediting outputs of noisy intermediate-scale quantum computing devices", New Journal of Physics 21 11, 113038 (2019).

[24] Akram Youssry, Robert J Chapman, Alberto Peruzzo, Christopher Ferrie, and Marco Tomamichel, "Modeling and control of a reconfigurable photonic circuit using deep learning", Quantum Science and Technology 5 2, 025001 (2020).

[25] Angad Kalra, Faisal I Qureshi, and Michael Tisi, "Portfolio Asset Identification Using Graph Algorithms on a Quantum Annealer", SSRN Electronic Journal (2018).

[26] Ning Bao and Junyu Liu, "Quantum algorithms for conformal bootstrap", Nuclear Physics B 946, 114702 (2019).

[27] Stefan Krastanov, Victor V. Albert, and Liang Jiang, "Optimized Entanglement Purification", arXiv:1712.09762, Quantum 3, 123 (2019).

[28] Yunong Shi, Nelson Leung, Pranav Gokhale, Zane Rossi, David I. Schuster, Henry Hoffmann, and Frederic T. Chong, Proceedings of the Twenty-Fourth International Conference on Architectural Support for Programming Languages and Operating Systems - ASPLOS '19 1031 (2019) ISBN:9781450362405.

[29] George S. Barron, F. A. Calderon-Vargas, Junling Long, David P. Pappas, and Sophia E. Economou, "Microwave-based arbitrary cphase gates for transmon qubits", Physical Review B 101 5, 054508 (2020).

[30] Yanxiong Du, Zhentao Liang, Hui Yan, and Shiliang Zhu, "Geometric Quantum Computation with Shortcuts to Adiabaticity", Advanced Quantum Technologies 2 9, 1900013 (2019).

[31] Pak Hong Leung and Kenneth R. Brown, "Entangling an arbitrary pair of qubits in a long ion crystal", Physical Review A 98 3, 032318 (2018).

[32] M. H. Ansari, "Superconducting qubits beyond the dispersive regime", Physical Review B 100 2, 024509 (2019).

[33] R. C. Wiersema and H. J. Kappen, "Implementing perceptron models with qubits", Physical Review A 100 2, 020301 (2019).

[34] Tao Xin, "A novel approach for emulating quantum computers on classical platforms", Quantum Engineering 1 2(2019).

[35] Koen Groenland and Kareljan Schoutens, "Quantum gates by resonantly driving many-body eigenstates, with a focus on Polychronakos’ model", Journal of Statistical Mechanics: Theory and Experiment 2019 7, 073103 (2019).

[36] Ruslan Shaydulin, Ilya Safro, and Jeffrey Larson, 2019 IEEE High Performance Extreme Computing Conference (HPEC) 1 (2019) ISBN:978-1-7281-5020-8.

[37] Kübra Yeter-Aydeniz, Eugene F. Dumitrescu, Alex J. McCaskey, Ryan S. Bennink, Raphael C. Pooser, and George Siopsis, "Scalar quantum field theories as a benchmark for near-term quantum computers", Physical Review A 99 3, 032306 (2019).

[38] Juan Carrasquilla, Giacomo Torlai, Roger G. Melko, and Leandro Aolita, "Reconstructing quantum states with generative models", arXiv:1810.10584, Nature Machine Intelligence 1 3, 155 (2019).

[39] Dan Padilha, Serge Weinstock, and Mark Hodson, 2019 IEEE High Performance Extreme Computing Conference (HPEC) 1 (2019) ISBN:978-1-7281-5020-8.

[40] Prakash Murali, Norbert Matthias Linke, Margaret Martonosi, Ali Javadi Abhari, Nhung Hong Nguyen, and Cinthia Huerta Alderete, Proceedings of the 46th International Symposium on Computer Architecture - ISCA '19 527 (2019) ISBN:9781450366694.

[41] Laszlo Gyongyosi, "Order statistics and random matrix theory of multicarrier continuous-variable quantum key distribution", International Journal of Communication Systems e4314 (2020).

[42] Maria Schuld and Nathan Killoran, "Quantum Machine Learning in Feature Hilbert Spaces", arXiv:1803.07128, Physical Review Letters 122 4, 040504 (2019).

[43] Wen Wei Ho and Timothy H. Hsieh, "Efficient variational simulation of non-trivial quantum states", SciPost Physics 6 3, 029 (2019).

[44] Alexandru Cojocaru, Léo Colisson, Elham Kashefi, and Petros Wallden, Lecture Notes in Computer Science 11921, 615 (2019) ISBN:978-3-030-34577-8.

[45] Jarrod R. McClean, Sergio Boixo, Vadim N. Smelyanskiy, Ryan Babbush, and Hartmut Neven, "Barren plateaus in quantum neural network training landscapes", Nature Communications 9 1, 4812 (2018).

[46] Xin Zhang, Hai-Ou Li, Gang Cao, Ming Xiao, Guang-Can Guo, and Guo-Ping Guo, "Semiconductor quantum computation", National Science Review 6 1, 32 (2019).

[47] Sumeet Khatri, Ryan LaRose, Alexander Poremba, Lukasz Cincio, Andrew T. Sornborger, and Patrick J. Coles, "Quantum-assisted quantum compiling", Quantum 3, 140 (2019).

[48] Csaba Kozma and Clara Calero-Medina, "The role of South African researchers in intercontinental collaboration", Scientometrics 121 3, 1293 (2019).

[49] Guglielmo Mazzola, Pauline J. Ollitrault, Panagiotis Kl. Barkoutsos, and Ivano Tavernelli, "Nonunitary Operations for Ground-State Calculations in Near-Term Quantum Computers", Physical Review Letters 123 13, 130501 (2019).

[50] Laszlo Gyongyosi and Sandor Imre, "Entanglement accessibility measures for the quantum Internet", Quantum Information Processing 19 4, 115 (2020).

[51] Yong Wan, Daniel Kienzler, Stephen D. Erickson, Karl H. Mayer, Ting Rei Tan, Jenny J. Wu, Hilma M. Vasconcelos, Scott Glancy, Emanuel Knill, David J. Wineland, Andrew C. Wilson, and Dietrich Leibfried, "Quantum gate teleportation between separated qubits in a trapped-ion processor", Science 364 6443, 875 (2019).

[52] Jin-Guo Liu, Yi-Hong Zhang, Yuan Wan, and Lei Wang, "Variational quantum eigensolver with fewer qubits", Physical Review Research 1 2, 023025 (2019).

[53] Edward Grant, Marcello Benedetti, Shuxiang Cao, Andrew Hallam, Joshua Lockhart, Vid Stojevic, Andrew G. Green, and Simone Severini, "Hierarchical quantum classifiers", npj Quantum Information 4 1, 65 (2018).

[54] Maria Schuld, Alex Bocharov, Krysta M. Svore, and Nathan Wiebe, "Circuit-centric quantum classifiers", Physical Review A 101 3, 032308 (2020).

[55] Ajinkya Borle and Josh McCarter, Lecture Notes in Computer Science 11934, 222 (2019) ISBN:978-3-030-34499-3.

[56] Tony J. G. Apollaro, Guilherme M. A. Almeida, Salvatore Lorenzo, Alessandro Ferraro, and Simone Paganelli, "Spin chains for two-qubit teleportation", Physical Review A 100 5, 052308 (2019).

[57] Vojtěch Havlíček, Antonio D. Córcoles, Kristan Temme, Aram W. Harrow, Abhinav Kandala, Jerry M. Chow, and Jay M. Gambetta, "Supervised learning with quantum-enhanced feature spaces", Nature 567 7747, 209 (2019).

[58] Andreas Hartmann and Wolfgang Lechner, "Quantum phase transition with inhomogeneous driving in the Lechner-Hauke-Zoller model", Physical Review A 100 3, 032110 (2019).

[59] R. Paredes, L. Dueñas-Osorio, K.S. Meel, and M.Y. Vardi, "Principled network reliability approximation: A counting-based approach", Reliability Engineering & System Safety 191, 106472 (2019).

[60] Matthew Otten and Stephen K. Gray, "Accounting for errors in quantum algorithms via individual error reduction", npj Quantum Information 5 1, 11 (2019).

[61] D. V. Babukhin, A. A. Zhukov, and W. V. Pogosov, "Nondestructive classification of quantum states using an algorithmic quantum computer", Quantum Machine Intelligence 1 3-4, 87 (2019).

[62] Prakash Murali, Ali Javadi-Abhari, Frederic T. Chong, and Margaret Martonosi, "Formal constraint-based compilation for noisy intermediate-scale quantum systems", arXiv:1903.03276, Microprocessors and Microsystems 66, 102 (2019).

[63] Johanna Barzen and Frank Leymann, "Quantum Humanities: A First Use Case for Quantum-ML in Media Science", Digitale Welt 4 1, 102 (2020).

[64] Akshay Ajagekar, Travis Humble, and Fengqi You, "Quantum computing based hybrid solution strategies for large-scale discrete-continuous optimization problems", Computers & Chemical Engineering 132, 106630 (2020).

[65] Andrew D. King, Juan Carrasquilla, Jack Raymond, Isil Ozfidan, Evgeny Andriyash, Andrew Berkley, Mauricio Reis, Trevor Lanting, Richard Harris, Fabio Altomare, Kelly Boothby, Paul I. Bunyk, Colin Enderud, Alexandre Fréchette, Emile Hoskinson, Nicolas Ladizinsky, Travis Oh, Gabriel Poulin-Lamarre, Christopher Rich, Yuki Sato, Anatoly Yu. Smirnov, Loren J. Swenson, Mark H. Volkmann, Jed Whittaker, Jason Yao, Eric Ladizinsky, Mark W. Johnson, Jeremy Hilton, and Mohammad H. Amin, "Observation of topological phenomena in a programmable lattice of 1,800 qubits", Nature 560 7719, 456 (2018).

[66] C. Kokail, C. Maier, R. van Bijnen, T. Brydges, M. K. Joshi, P. Jurcevic, C. A. Muschik, P. Silvi, R. Blatt, C. F. Roos, and P. Zoller, "Self-verifying variational quantum simulation of lattice models", Nature 569 7756, 355 (2019).

[67] Yuichiro Matsuzaki, Victor M. Bastidas, Yuki Takeuchi, William J. Munro, and Shiro Saito, "One-way Transfer of Quantum States via Decoherence", Journal of the Physical Society of Japan 89 4, 044003 (2020).

[68] Yosep Kim, Kang-Hee Hong, Joonsuk Huh, and Yoon-Ho Kim, "Experimental linear optical computing of the matrix permanent", Physical Review A 99 5, 052308 (2019).

[69] D. Zhu, N. M. Linke, M. Benedetti, K. A. Landsman, N. H. Nguyen, C. H. Alderete, A. Perdomo-Ortiz, N. Korda, A. Garfoot, C. Brecque, L. Egan, O. Perdomo, and C. Monroe, "Training of quantum circuits on a hybrid quantum computer", Science Advances 5 10, eaaw9918 (2019).

[70] Harper R. Grimsley, Sophia E. Economou, Edwin Barnes, and Nicholas J. Mayhall, "An adaptive variational algorithm for exact molecular simulations on a quantum computer", Nature Communications 10 1, 3007 (2019).

[71] Benjamin Villalonga, Sergio Boixo, Bron Nelson, Christopher Henze, Eleanor Rieffel, Rupak Biswas, and Salvatore Mandrà, "A flexible high-performance simulator for verifying and benchmarking quantum circuits implemented on real hardware", npj Quantum Information 5 1, 86 (2019).

[72] Marcello Benedetti, Delfina Garcia-Pintos, Oscar Perdomo, Vicente Leyton-Ortega, Yunseong Nam, and Alejandro Perdomo-Ortiz, "A generative modeling approach for benchmarking and training shallow quantum circuits", npj Quantum Information 5 1, 45 (2019).

[73] Naveed Mahmud, Esam El‐Araby, and David Caliga, "Scaling reconfigurable emulation of quantum algorithms at high precision and high throughput", Quantum Engineering 1 2(2019).

[74] Pranav Gokhale, Yongshan Ding, Thomas Propson, Christopher Winkler, Nelson Leung, Yunong Shi, David I. Schuster, Henry Hoffmann, and Frederic T. Chong, Proceedings of the 52nd Annual IEEE/ACM International Symposium on Microarchitecture 266 (2019) ISBN:9781450369381.

[75] Olivier Pfister, "Continuous-variable quantum computing in the quantum optical frequency comb", Journal of Physics B: Atomic, Molecular and Optical Physics 53 1, 012001 (2020).

[76] Frank Arute, Kunal Arya, Ryan Babbush, Dave Bacon, Joseph C. Bardin, Rami Barends, Rupak Biswas, Sergio Boixo, Fernando G. S. L. Brandao, David A. Buell, Brian Burkett, Yu Chen, Zijun Chen, Ben Chiaro, Roberto Collins, William Courtney, Andrew Dunsworth, Edward Farhi, Brooks Foxen, Austin Fowler, Craig Gidney, Marissa Giustina, Rob Graff, Keith Guerin, Steve Habegger, Matthew P. Harrigan, Michael J. Hartmann, Alan Ho, Markus Hoffmann, Trent Huang, Travis S. Humble, Sergei V. Isakov, Evan Jeffrey, Zhang Jiang, Dvir Kafri, Kostyantyn Kechedzhi, Julian Kelly, Paul V. Klimov, Sergey Knysh, Alexander Korotkov, Fedor Kostritsa, David Landhuis, Mike Lindmark, Erik Lucero, Dmitry Lyakh, Salvatore Mandrà, Jarrod R. McClean, Matthew McEwen, Anthony Megrant, Xiao Mi, Kristel Michielsen, Masoud Mohseni, Josh Mutus, Ofer Naaman, Matthew Neeley, Charles Neill, Murphy Yuezhen Niu, Eric Ostby, Andre Petukhov, John C. Platt, Chris Quintana, Eleanor G. Rieffel, Pedram Roushan, Nicholas C. Rubin, Daniel Sank, Kevin J. Satzinger, Vadim Smelyanskiy, Kevin J. Sung, Matthew D. Trevithick, Amit Vainsencher, Benjamin Villalonga, Theodore White, Z. Jamie Yao, Ping Yeh, Adam Zalcman, Hartmut Neven, and John M. Martinis, "Quantum supremacy using a programmable superconducting processor", Nature 574 7779, 505 (2019).

[77] R. Dassonneville, T. Ramos, V. Milchakov, L. Planat, É. Dumur, F. Foroughi, J. Puertas, S. Leger, K. Bharadwaj, J. Delaforce, C. Naud, W. Hasch-Guichard, J. J. García-Ripoll, N. Roch, and O. Buisson, "Fast High-Fidelity Quantum Nondemolition Qubit Readout via a Nonperturbative Cross-Kerr Coupling", Physical Review X 10 1, 011045 (2020).

[78] Frank Leymann, Lecture Notes in Computer Science 11413, 218 (2019) ISBN:978-3-030-14081-6.

[79] Kamil Korzekwa, Christopher T. Chubb, and Marco Tomamichel, "Avoiding Irreversibility: Engineering Resonant Conversions of Quantum Resources", Physical Review Letters 122 11, 110403 (2019).

[80] Laszlo Gyongyosi and Sandor Imre, "Dense Quantum Measurement Theory", Scientific Reports 9 1, 6755 (2019).

[81] Syed Junaid Nawaz, Shree Krishna Sharma, Shurjeel Wyne, Mohammad N. Patwary, and Md. Asaduzzaman, "Quantum Machine Learning for 6G Communication Networks: State-of-the-Art and Vision for the Future", IEEE Access 7, 46317 (2019).

[82] Jinfeng Zeng, Yufeng Wu, Jin-Guo Liu, Lei Wang, and Jiangping Hu, "Learning and inference on generative adversarial quantum circuits", Physical Review A 99 5, 052306 (2019).

[83] Kenji Sugisaki, Shigeaki Nakazawa, Kazuo Toyota, Kazunobu Sato, Daisuke Shiomi, and Takeji Takui, "Quantum chemistry on quantum computers: quantum simulations of the time evolution of wave functions under the S2 operator and determination of the spin quantum number S", Physical Chemistry Chemical Physics 21 28, 15356 (2019).

[84] Eric Bersin, Michael Walsh, Sara L. Mouradian, Matthew E. Trusheim, Tim Schröder, and Dirk Englund, "Individual control and readout of qubits in a sub-diffraction volume", npj Quantum Information 5 1, 38 (2019).

[85] Laszlo Gyongyosi and Sandor Imre, "Optimizing High-Efficiency Quantum Memory with Quantum Machine Learning for Near-Term Quantum Devices", Scientific Reports 10 1, 135 (2020).

[86] A. Avkhadiev, P. E. Shanahan, and R. D. Young, "Accelerating Lattice Quantum Field Theory Calculations via Interpolator Optimization Using Noisy Intermediate-Scale Quantum Computing", Physical Review Letters 124 8, 080501 (2020).

[87] Jiayin Chen and Hendra I. Nurdin, 2019 Australian & New Zealand Control Conference (ANZCC) 48 (2019) ISBN:978-1-7281-1786-7.

[88] Hendrik Bluhm and Lars R. Schreiber, 2019 IEEE International Symposium on Circuits and Systems (ISCAS) 1 (2019) ISBN:978-1-7281-0397-6.

[89] Sewan Ha, Hakjun Lee, Dongho Won, and Youngsook Lee, 2020 14th International Conference on Ubiquitous Information Management and Communication (IMCOM) 1 (2020) ISBN:978-1-7281-5453-4.

[90] Poulami Das, Swamit S. Tannu, Prashant J. Nair, and Moinuddin Qureshi, Proceedings of the 52nd Annual IEEE/ACM International Symposium on Microarchitecture 291 (2019) ISBN:9781450369381.

[91] Bibek Pokharel, Namit Anand, Benjamin Fortman, and Daniel A. Lidar, "Demonstration of Fidelity Improvement Using Dynamical Decoupling with Superconducting Qubits", Physical Review Letters 121 22, 220502 (2018).

[92] Yu Zhang, Haowei Deng, Quanxi Li, Haoze Song, and Leihai Nie, 2019 International Symposium on Theoretical Aspects of Software Engineering (TASE) 184 (2019) ISBN:978-1-7281-3342-3.

[93] Massimiliano Proietti, Martin Ringbauer, Francesco Graffitti, Peter Barrow, Alexander Pickston, Dmytro Kundys, Daniel Cavalcanti, Leandro Aolita, Rafael Chaves, and Alessandro Fedrizzi, "Enhanced Multiqubit Phase Estimation in Noisy Environments by Local Encoding", Physical Review Letters 123 18, 180503 (2019).

[94] Christopher Monroe, Michael G. Raymer, and Jacob Taylor, "The U.S. National Quantum Initiative: From Act to action", Science 364 6439, 440 (2019).

[95] A. Bermudez, X. Xu, M. Gutiérrez, S. C. Benjamin, and M. Müller, "Fault-tolerant protection of near-term trapped-ion topological qubits under realistic noise sources", Physical Review A 100 6, 062307 (2019).

[96] Kosuke Mitarai, Tennin Yan, and Keisuke Fujii, "Generalization of the Output of a Variational Quantum Eigensolver by Parameter Interpolation with a Low-depth Ansatz", Physical Review Applied 11 4, 044087 (2019).

[97] Laszlo Gyongyosi, "Correlation measure equivalence in dynamic causal structures of quantum gravity", Quantum Engineering (2020).

[98] Robert Wille, Rod Van Meter, and Yehuda Naveh, 2019 Design, Automation & Test in Europe Conference & Exhibition (DATE) 1234 (2019) ISBN:978-3-9819263-2-3.

[99] Antoine Browaeys and Thierry Lahaye, "Many-body physics with individually controlled Rydberg atoms", Nature Physics 16 2, 132 (2020).

[100] Akhil Francis, J. K. Freericks, and A. F. Kemper, "Quantum computation of magnon spectra", Physical Review B 101 1, 014411 (2020).

[101] S. Chowdhury, S. Datta, and K. Y. Camsari, 2019 IEEE International Electron Devices Meeting (IEDM) 37.5.1 (2019) ISBN:978-1-7281-4032-2.

[102] Johanna Barzen and Frank Leymann, "Quantum humanities: a vision for quantum computing in digital humanities", SICS Software-Intensive Cyber-Physical Systems (2019).

[103] Clemens Dlaska, Lukas M. Sieberer, and Wolfgang Lechner, "Designing ground states of Hopfield networks for quantum state preparation", Physical Review A 99 3, 032342 (2019).

[104] Youngkyu Sung, Félix Beaudoin, Leigh M. Norris, Fei Yan, David K. Kim, Jack Y. Qiu, Uwe von Lüpke, Jonilyn L. Yoder, Terry P. Orlando, Simon Gustavsson, Lorenza Viola, and William D. Oliver, "Non-Gaussian noise spectroscopy with a superconducting qubit sensor", Nature Communications 10 1, 3715 (2019).

[105] Alwin Zulehner, Philipp Niemann, Rolf Drechsler, and Robert Wille, 2019 IEEE 49th International Symposium on Multiple-Valued Logic (ISMVL) 1 (2019) ISBN:978-1-7281-0092-0.

[106] Hai-Jin Ding and Re-Bing Wu, "Robust quantum control against clock noises in multiqubit systems", Physical Review A 100 2, 022302 (2019).

[107] Lewis Grozinger, Martyn Amos, Thomas E. Gorochowski, Pablo Carbonell, Diego A. Oyarzún, Ruud Stoof, Harold Fellermann, Paolo Zuliani, Huseyin Tas, and Angel Goñi-Moreno, "Pathways to cellular supremacy in biocomputing", Nature Communications 10 1, 5250 (2019).

[108] Bryan T. Gard, Linghua Zhu, George S. Barron, Nicholas J. Mayhall, Sophia E. Economou, and Edwin Barnes, "Efficient symmetry-preserving state preparation circuits for the variational quantum eigensolver algorithm", npj Quantum Information 6 1, 10 (2020).

[109] Haoyu Qi, Daniel J. Brod, Nicolás Quesada, and Raúl García-Patrón, "Regimes of Classical Simulability for Noisy Gaussian Boson Sampling", Physical Review Letters 124 10, 100502 (2020).

[110] Sergei Slussarenko and Geoff J. Pryde, "Photonic quantum information processing: A concise review", Applied Physics Reviews 6 4, 041303 (2019).

[111] Sam Morley-Short, Mercedes Gimeno-Segovia, Terry Rudolph, and Hugo Cable, "Loss-tolerant teleportation on large stabilizer states", Quantum Science and Technology 4 2, 025014 (2019).

[112] Gregory R. Steinbrecher, Jonathan P. Olson, Dirk Englund, and Jacques Carolan, "Quantum optical neural networks", npj Quantum Information 5 1, 60 (2019).

[113] Matthew Amy, Lecture Notes in Computer Science 11497, 87 (2019) ISBN:978-3-030-21499-9.

[114] Zhenyu Cai and Simon C. Benjamin, "Constructing Smaller Pauli Twirling Sets for Arbitrary Error Channels", Scientific Reports 9 1, 11281 (2019).

[115] Frédéric Bapst, Wahid Bhimji, Paolo Calafiura, Heather Gray, Wim Lavrijsen, Lucy Linder, and Alex Smith, "A Pattern Recognition Algorithm for Quantum Annealers", Computing and Software for Big Science 4 1, 1 (2020).

[116] L. C. G. Govia, G. J. Ribeill, D. Ristè, M. Ware, and H. Krovi, "Bootstrapping quantum process tomography via a perturbative ansatz", Nature Communications 11 1, 1084 (2020).

[117] Corentin Bertrand, Serge Florens, Olivier Parcollet, and Xavier Waintal, "Reconstructing Nonequilibrium Regimes of Quantum Many-Body Systems from the Analytical Structure of Perturbative Expansions", Physical Review X 9 4, 041008 (2019).

[118] Francesco Tacchino, Alessandro Chiesa, Stefano Carretta, and Dario Gerace, "Quantum Computers as Universal Quantum Simulators: State‐of‐the‐Art and Perspectives", Advanced Quantum Technologies 3 3, 1900052 (2020).

[119] Loïc Henriet, "Robustness to spontaneous emission of a variational quantum algorithm", Physical Review A 101 1, 012335 (2020).

[120] Beni Yoshida and Norman Y. Yao, "Disentangling Scrambling and Decoherence via Quantum Teleportation", Physical Review X 9 1, 011006 (2019).

[121] Adam Smith, M. S. Kim, Frank Pollmann, and Johannes Knolle, "Simulating quantum many-body dynamics on a current digital quantum computer", npj Quantum Information 5 1, 106 (2019).

[122] A.D. Patterson, J. Rahamim, T. Tsunoda, P.A. Spring, S. Jebari, K. Ratter, M. Mergenthaler, G. Tancredi, B. Vlastakis, M. Esposito, and P.J. Leek, "Calibration of a Cross-Resonance Two-Qubit Gate Between Directly Coupled Transmons", Physical Review Applied 12 6, 064013 (2019).

[123] Tzu-Ching Yen, Vladyslav Verteletskyi, and Artur F. Izmaylov, "Measuring all compatible operators in one series of single-qubit measurements using unitary transformations", Journal of Chemical Theory and Computation acs.jctc.0c00008 (2020).

[124] Nicholas Meinhardt, Bastiaan Dekker, Niels M. P. Neumann, and Frank Phillipson, "Implementation of a Variational Quantum Circuit for Machine Learning with Compact Data Representation", Digitale Welt 4 1, 95 (2020).

[125] Francesco A. Evangelista, Garnet Kin-Lic Chan, and Gustavo E. Scuseria, "Exact parameterization of fermionic wave functions via unitary coupled cluster theory", The Journal of Chemical Physics 151 24, 244112 (2019).

[126] G. G. Guerreschi and A. Y. Matsuura, "QAOA for Max-Cut requires hundreds of qubits for quantum speed-up", Scientific Reports 9 1, 6903 (2019).

[127] S V Remizov, A A Zhukov, W V Pogosov, and Yu E Lozovik, "Radiation trapping effect versus superradiance in quantum simulation of light-matter interaction", Laser Physics Letters 16 6, 065205 (2019).

[128] Will Powell, Jason Riedy, Jeffrey S. Young, and Thomas M. Conte, Proceedings of the Practice and Experience in Advanced Research Computing on Rise of the Machines (learning) - PEARC '19 1 (2019) ISBN:9781450372275.

[129] Jacques Carolan, Masoud Mosheni, Jonathan P. Olson, Mihika Prabhu, Changchen Chen, Darius Bunandar, Nicholas C. Harris, Franco N. C. Wong, Michael Hochberg, Seth Lloyd, and Dirk Englund, Conference on Lasers and Electro-Optics FTh3A.3 (2019) ISBN:978-1-943580-57-6.

[130] Ming-Cheng Chen, Riling Li, Lin Gan, Xiaobo Zhu, Guangwen Yang, Chao-Yang Lu, and Jian-Wei Pan, "Quantum-Teleportation-Inspired Algorithm for Sampling Large Random Quantum Circuits", Physical Review Letters 124 8, 080502 (2020).

[131] Ling Hu, Shu-Hao Wu, Weizhou Cai, Yuwei Ma, Xianghao Mu, Yuan Xu, Haiyan Wang, Yipu Song, Dong-Ling Deng, Chang-Ling Zou, and Luyan Sun, "Quantum generative adversarial learning in a superconducting quantum circuit", Science Advances 5 1, eaav2761 (2019).

[132] Jose P. Pinilla and Steven J. E. Wilton, Lecture Notes in Computer Science 11501, 121 (2019) ISBN:978-3-030-20655-0.

[133] Andrew Arrasmith, Lukasz Cincio, Andrew T. Sornborger, Wojciech H. Zurek, and Patrick J. Coles, "Variational consistent histories as a hybrid algorithm for quantum foundations", Nature Communications 10 1, 3438 (2019).

[134] Hyeongrak Choi, Mihir Pant, Saikat Guha, and Dirk Englund, "Percolation-based architecture for cluster state creation using photon-mediated entanglement between atomic memories", npj Quantum Information 5 1, 104 (2019).

[135] Toshinari Itoko, Rudy Raymond, Takashi Imamichi, Atsushi Matsuo, and Andrew W. Cross, Proceedings of the 24th Asia and South Pacific Design Automation Conference on - ASPDAC '19 191 (2019) ISBN:9781450360074.

[136] Changpeng Shao, "A quantum model of feed-forward neural networks with unitary learning algorithms", Quantum Information Processing 19 3, 102 (2020).

[137] Michael Goerz, Daniel Basilewitsch, Fernando Gago-Encinas, Matthias G. Krauss, Karl P. Horn, Daniel M. Reich, and Christiane Koch, "Krotov: A Python implementation of Krotov's method for quantum optimal control", SciPost Physics 7 6, 080 (2019).

[138] Alexander McCaskey, Eugene Dumitrescu, Mengsu Chen, Dmitry Lyakh, Travis Humble, and Nicholas Chancellor, "Validating quantum-classical programming models with tensor network simulations", PLOS ONE 13 12, e0206704 (2018).

[139] Ilya G. Ryabinkin, Robert A. Lang, Scott N. Genin, and Artur F. Izmaylov, "Iterative Qubit Coupled Cluster Approach with Efficient Screening of Generators", Journal of Chemical Theory and Computation 16 2, 1055 (2020).

[140] Abhinav Kandala, Kristan Temme, Antonio D. Córcoles, Antonio Mezzacapo, Jerry M. Chow, and Jay M. Gambetta, "Error mitigation extends the computational reach of a noisy quantum processor", Nature 567 7749, 491 (2019).

[141] Aaron J. Friedman, Sarang Gopalakrishnan, and Romain Vasseur, "Integrable Many-Body Quantum Floquet-Thouless Pumps", Physical Review Letters 123 17, 170603 (2019).

[142] Davide Nigro, "Complexity of the steady state of weakly symmetric open quantum lattices", Physical Review A 101 2, 022109 (2020).

[143] Shuaining Zhang, Yao Lu, Kuan Zhang, Wentao Chen, Ying Li, Jing-Ning Zhang, and Kihwan Kim, "Error-mitigated quantum gates exceeding physical fidelities in a trapped-ion system", Nature Communications 11 1, 587 (2020).

[144] Margherita Zorzi, "Quantum Calculi—From Theory to Language Design", Applied Sciences 9 24, 5472 (2019).

[145] Maxwell Henderson, Samriddhi Shakya, Shashindra Pradhan, and Tristan Cook, "Quanvolutional neural networks: powering image recognition with quantum circuits", Quantum Machine Intelligence 2 1, 1 (2020).

[146] Daiqin Su, Krishna Kumar Sabapathy, Casey R. Myers, Haoyu Qi, Christian Weedbrook, and Kamil Brádler, "Implementing quantum algorithms on temporal photonic cluster states", Physical Review A 98 3, 032316 (2018).

[147] Sabrina S. Hong, Alexander T. Papageorge, Prasahnt Sivarajah, Genya Crossman, Nicolas Didier, Anthony M. Polloreno, Eyob A. Sete, Stefan W. Turkowski, Marcus P. da Silva, and Blake R. Johnson, "Demonstration of a parametrically activated entangling gate protected from flux noise", Physical Review A 101 1, 012302 (2020).

[148] Eugenio Coronado, "Molecular magnetism: from chemical design to spin control in molecules, materials and devices", Nature Reviews Materials 5 2, 87 (2020).

[149] Pranav Gokhale, Jonathan M. Baker, Casey Duckering, Natalie C. Brown, Kenneth R. Brown, and Frederic T. Chong, Proceedings of the 46th International Symposium on Computer Architecture - ISCA '19 554 (2019) ISBN:9781450366694.

[150] Marcello Benedetti, Edward Grant, Leonard Wossnig, and Simone Severini, "Adversarial quantum circuit learning for pure state approximation", New Journal of Physics 21 4, 043023 (2019).

[151] Alexey N. Pyrkov, Tim Byrnes, and Valentin V. Cherny, "Solitonic Fixed Point Attractors in the Complex Ginzburg–Landau Equation for Associative Memories", Symmetry 12 1, 24 (2019).

[152] Soumik Adhikary, Siddharth Dangwal, and Debanjan Bhowmik, "Supervised learning with a quantum classifier using multi-level systems", Quantum Information Processing 19 3, 89 (2020).

[153] Jin-Guo Liu and Lei Wang, "Differentiable learning of quantum circuit Born machines", arXiv:1804.04168, Physical Review A 98 6, 062324 (2018).

[154] Jarrod R. McClean, Zhang Jiang, Nicholas C. Rubin, Ryan Babbush, and Hartmut Neven, "Decoding quantum errors with subspace expansions", Nature Communications 11 1, 636 (2020).

[155] Xavier Waintal, "What determines the ultimate precision of a quantum computer", arXiv:1702.07688, Physical Review A 99 4, 042318 (2019).

[156] Jacques Carolan, Masoud Mohseni, Jonathan P. Olson, Mihika Prabhu, Changchen Chen, Darius Bunandar, Murphy Yuezhen Niu, Nicholas C. Harris, Franco N. C. Wong, Michael Hochberg, Seth Lloyd, and Dirk Englund, "Variational quantum unsampling on a quantum photonic processor", Nature Physics 16 3, 322 (2020).

[157] Michał Oszmaniec, Filip B. Maciejewski, and Zbigniew Puchała, "Simulating all quantum measurements using only projective measurements and postselection", Physical Review A 100 1, 012351 (2019).

[158] Wen Wei Ho, Cheryne Jonay, and Timothy H. Hsieh, "Ultrafast variational simulation of nontrivial quantum states with long-range interactions", Physical Review A 99 5, 052332 (2019).

[159] Mark Fingerhuth, Tomáš Babej, Peter Wittek, and Leonie Anna Mueck, "Open source software in quantum computing", PLOS ONE 13 12, e0208561 (2018).

[160] Changho Hong, Jino Heo, Min-Sung Kang, Jingak Jang, Hyun-Jin Yang, and Daesung Kwon, "Photonic scheme of quantum phase estimation for quantum algorithms via cross-Kerr nonlinearities under decoherence effect", Optics Express 27 21, 31023 (2019).

[161] Eric R. Anschuetz and Cristian Zanoci, "Near-term quantum-classical associative adversarial networks", Physical Review A 100 5, 052327 (2019).

[162] Natalie Klco and Martin J. Savage, "Digitization of scalar fields for quantum computing", Physical Review A 99 5, 052335 (2019).

[163] Joschka Roffe, Stefan Zohren, Dominic Horsman, and Nicholas Chancellor, "Quantum Codes From Classical Graphical Models", IEEE Transactions on Information Theory 66 1, 130 (2020).

[164] Gushu Li, Yufei Ding, and Yuan Xie, Proceedings of the Twenty-Fourth International Conference on Architectural Support for Programming Languages and Operating Systems - ASPLOS '19 1001 (2019) ISBN:9781450362405.

[165] Jiayin Chen, Hendra I. Nurdin, and Naoki Yamamoto, 2019 IEEE 58th Conference on Decision and Control (CDC) 401 (2019) ISBN:978-1-7281-1398-2.

[166] Oleksandr Kyriienko, "Quantum inverse iteration algorithm for programmable quantum simulators", npj Quantum Information 6 1, 7 (2020).

[167] Suguru Endo, Qi Zhao, Ying Li, Simon Benjamin, and Xiao Yuan, "Mitigating algorithmic errors in a Hamiltonian simulation", arXiv:1808.03623, Physical Review A 99 1, 012334 (2019).

[168] D. J. Reilly, 2019 IEEE International Electron Devices Meeting (IEDM) 31.7.1 (2019) ISBN:978-1-7281-4032-2.

[169] Benjamin D. M. Jones, David R. White, George O. O'Brien, John A. Clark, and Earl T. Campbell, Proceedings of the Genetic and Evolutionary Computation Conference 1223 (2019) ISBN:9781450361118.

[170] Ruslan Shaydulin, Hayato Ushijima-Mwesigwa, Christian F. A. Negre, Ilya Safro, Susan M. Mniszewski, and Yuri Alexeev, "A Hybrid Approach for Solving Optimization Problems on Small Quantum Computers", Computer 52 6, 18 (2019).

[171] Andrew W. Cross, Lev S. Bishop, Sarah Sheldon, Paul D. Nation, and Jay M. Gambetta, "Validating quantum computers using randomized model circuits", Physical Review A 100 3, 032328 (2019).

[172] Minsung Kim, Davide Venturelli, and Kyle Jamieson, Proceedings of the ACM Special Interest Group on Data Communication - SIGCOMM '19 241 (2019) ISBN:9781450359566.

[173] Alexandru Paler, Daniel Herr, and Simon J. Devitt, "Really Small Shoe Boxes: On Realistic Quantum Resource Estimation", Computer 52 6, 27 (2019).

[174] Alwin Zulehner, Hartwig Bauer, and Robert Wille, Lecture Notes in Computer Science 11497, 171 (2019) ISBN:978-3-030-21499-9.

[175] R. Sagastizabal, X. Bonet-Monroig, M. Singh, M. A. Rol, C. C. Bultink, X. Fu, C. H. Price, V. P. Ostroukh, N. Muthusubramanian, A. Bruno, M. Beekman, N. Haider, T. E. O'Brien, and L. DiCarlo, "Experimental error mitigation via symmetry verification in a variational quantum eigensolver", Physical Review A 100 1, 010302 (2019).

[176] Göran Wendin, "Can Biological Quantum Networks Solve NP‐Hard Problems?", Advanced Quantum Technologies 2 7-8, 1800081 (2019).

[177] Marek Pechal, Patricio Arrangoiz-Arriola, and Amir H Safavi-Naeini, "Superconducting circuit quantum computing with nanomechanical resonators as storage", Quantum Science and Technology 4 1, 015006 (2018).

[178] Chih-Chieh Chen, Shiue-Yuan Shiau, Ming-Feng Wu, and Yuh-Renn Wu, "Hybrid classical-quantum linear solver using Noisy Intermediate-Scale Quantum machines", Scientific Reports 9 1, 16251 (2019).

[179] Laszlo Gyongyosi and Sandor Imre, "State stabilization for gate-model quantum computers", Quantum Information Processing 18 9, 280 (2019).

[180] Adam Bouland, Bill Fefferman, Chinmay Nirkhe, and Umesh Vazirani, "On the complexity and verification of quantum random circuit sampling", Nature Physics 15 2, 159 (2019).

[181] Yohichi Suzuki, Shumpei Uno, Rudy Raymond, Tomoki Tanaka, Tamiya Onodera, and Naoki Yamamoto, "Amplitude estimation without phase estimation", Quantum Information Processing 19 2, 75 (2020).

[182] Laszlo Gyongyosi and Sandor Imre, "Theory of quantum gravity information processing", Quantum Engineering 1 4(2019).

[183] X. Fu, L. Riesebos, M. A. Rol, Jeroen van Straten, J. van Someren, N. Khammassi, I. Ashraf, R. F. L. Vermeulen, V. Newsum, K. K. L. Loh, J. C. de Sterke, W. J. Vlothuizen, R. N. Schouten, C. G. Almudever, L. DiCarlo, and K. Bertels, 2019 IEEE International Symposium on High Performance Computer Architecture (HPCA) 224 (2019) ISBN:978-1-7281-1444-6.

[184] Nicholas H. Stair, Renke Huang, and Francesco A. Evangelista, "A Multireference Quantum Krylov Algorithm for Strongly Correlated Electrons", Journal of Chemical Theory and Computation acs.jctc.9b01125 (2020).

[185] Sergey Bravyi, Dan Browne, Padraic Calpin, Earl Campbell, David Gosset, and Mark Howard, "Simulation of quantum circuits by low-rank stabilizer decompositions", arXiv:1808.00128, Quantum 3, 181 (2019).

[186] Mária Kieferová, Artur Scherer, and Dominic W. Berry, "Simulating the dynamics of time-dependent Hamiltonians with a truncated Dyson series", Physical Review A 99 4, 042314 (2019).

[187] Hui Wang, Jian Qin, Xing Ding, Ming-Cheng Chen, Si Chen, Xiang You, Yu-Ming He, Xiao Jiang, L. You, Z. Wang, C. Schneider, Jelmer J. Renema, Sven Höfling, Chao-Yang Lu, and Jian-Wei Pan, "Boson Sampling with 20 Input Photons and a 60-Mode Interferometer in a 1014 -Dimensional Hilbert Space", Physical Review Letters 123 25, 250503 (2019).

[188] Adam Pearson, Anurag Mishra, Itay Hen, and Daniel A. Lidar, "Analog errors in quantum annealing: doom and hope", npj Quantum Information 5 1, 107 (2019).

[189] A. Elben, B. Vermersch, C. F. Roos, and P. Zoller, "Statistical correlations between locally randomized measurements: A toolbox for probing entanglement in many-body quantum states", Physical Review A 99 5, 052323 (2019).

[190] Kaifeng Bu and Dax Enshan Koh, "Efficient Classical Simulation of Clifford Circuits with Nonstabilizer Input States", Physical Review Letters 123 17, 170502 (2019).

[191] Kyle Cormier, Riccardo Di Sipio, and Peter Wittek, "Unfolding measurement distributions via quantum annealing", Journal of High Energy Physics 2019 11, 128 (2019).

[192] T. M. Wintermantel, Y. Wang, G. Lochead, S. Shevate, G. K. Brennen, and S. Whitlock, "Unitary and Nonunitary Quantum Cellular Automata with Rydberg Arrays", Physical Review Letters 124 7, 070503 (2020).

[193] Thomas E. O’Brien, Bruno Senjean, Ramiro Sagastizabal, Xavier Bonet-Monroig, Alicja Dutkiewicz, Francesco Buda, Leonardo DiCarlo, and Lucas Visscher, "Calculating energy derivatives for quantum chemistry on a quantum computer", npj Quantum Information 5 1, 113 (2019).

[194] Faisal Shah Khan, "Nash embedding: a road map to realizing quantum hardware", Digitale Welt 4 1, 92 (2020).

[195] Marcello Benedetti, Erika Lloyd, Stefan Sack, and Mattia Fiorentini, "Parameterized quantum circuits as machine learning models", Quantum Science and Technology 4 4, 043001 (2019).

[196] Daniel C. Hackett, Kiel Howe, Ciaran Hughes, William Jay, Ethan T. Neil, and James N. Simone, "Digitizing gauge fields: Lattice Monte Carlo results for future quantum computers", Physical Review A 99 6, 062341 (2019).

[197] Pablo Andrés-Martínez and Chris Heunen, "Automated distribution of quantum circuits via hypergraph partitioning", Physical Review A 100 3, 032308 (2019).

[198] Y. Cao, J. Romero, and A. Aspuru-Guzik, "Potential of quantum computing for drug discovery", IBM Journal of Research and Development 62 6, 6:1 (2018).

[199] James R. Seddon and Earl T. Campbell, "Quantifying magic for multi-qubit operations", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475 2227, 20190251 (2019).

[200] Mark Steudtner and Stephanie Wehner, "Quantum codes for quantum simulation of fermions on a square lattice of qubits", Physical Review A 99 2, 022308 (2019).

[201] Laura Ortiz Martín, Springer Theses 11 (2019) ISBN:978-3-030-23648-9.

[202] L. Riesebos, X. Fu, A. A. Moueddenne, L. Lao, S. Varsamopoulos, I. Ashraf, J. van Someren, N. Khammassi, C. G. Almudever, and K. Bertels, 2019 IEEE International Symposium on Circuits and Systems (ISCAS) 1 (2019) ISBN:978-1-7281-0397-6.

[203] Adrian Parra-Rodriguez, Pavel Lougovski, Lucas Lamata, Enrique Solano, and Mikel Sanz, "Digital-analog quantum computation", Physical Review A 101 2, 022305 (2020).

[204] Bálint Joó, Chulwoo Jung, Norman H. Christ, William Detmold, Robert G. Edwards, Martin Savage, and Phiala Shanahan, "Status and future perspectives for lattice gauge theory calculations to the exascale and beyond", The European Physical Journal A 55 11, 199 (2019).

[205] Alexandra Nagy and Vincenzo Savona, "Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems", Physical Review Letters 122 25, 250501 (2019).

[206] Mari Carmen Bañuls and Krzysztof Cichy, "Review on novel methods for lattice gauge theories", Reports on Progress in Physics 83 2, 024401 (2020).

[207] Jeffrey S. Young, Jason Riedy, Thomas M. Conte, Vivek Sarkar, Prasanth Chatarasi, and Sriseshan Srikanth, 2019 IEEE International Conference on Rebooting Computing (ICRC) 1 (2019) ISBN:978-1-7281-5221-9.

[208] A. Roggero and A. Baroni, "Short-depth circuits for efficient expectation-value estimation", Physical Review A 101 2, 022328 (2020).

[209] Shusen Liu, Yinan Li, and Runyao Duan, "Distinguishing unitary gates on the IBM quantum processor", arXiv:1807.00429, Science China Information Sciences 62 7, 72502 (2019).

[210] Daniel A. Rowlands and Austen Lamacraft, "Noisy coupled qubits: Operator spreading and the Fredrickson-Andersen model", Physical Review B 98 19, 195125 (2018).

[211] James Stokes and John Terilla, "Probabilistic Modeling with Matrix Product States", Entropy 21 12, 1236 (2019).

[212] Anne Matsuura, Sonika Johri, and Justin Hogaboam, "A systems perspective of quantum computing", Physics Today 72 3, 40 (2019).

[213] Karol Horodecki and Maciej Stankiewicz, "Semi-device-independent quantum money", New Journal of Physics 22 2, 023007 (2020).

[214] Simon Milz, M. S. Kim, Felix A. Pollock, and Kavan Modi, "Completely Positive Divisibility Does Not Mean Markovianity", Physical Review Letters 123 4, 040401 (2019).

[215] N. M. Linke, S. Johri, C. Figgatt, K. A. Landsman, A. Y. Matsuura, and C. Monroe, "Measuring the Rényi entropy of a two-site Fermi-Hubbard model on a trapped ion quantum computer", Physical Review A 98 5, 052334 (2018).

[216] Yosi Atia, Yonathan Oren, and Nadav Katz, "Robust Diabatic Grover Search by Landau–Zener–Stückelberg Oscillations", Entropy 21 10, 937 (2019).

[217] S. E. Rasmussen, K. Groenland, R. Gerritsma, K. Schoutens, and N. T. Zinner, "Single-step implementation of high-fidelity n -bit Toffoli gates", Physical Review A 101 2, 022308 (2020).

[218] Vedran Dunjko, Yimin Ge, and J. Ignacio Cirac, "Computational Speedups Using Small Quantum Devices", Physical Review Letters 121 25, 250501 (2018).

[219] Michael J. Hartmann and Giuseppe Carleo, "Neural-Network Approach to Dissipative Quantum Many-Body Dynamics", Physical Review Letters 122 25, 250502 (2019).

[220] Robert Wille, Lukas Burgholzer, and Alwin Zulehner, Proceedings of the 56th Annual Design Automation Conference 2019 on - DAC '19 1 (2019) ISBN:9781450367257.

[221] Sukin Sim, Peter D. Johnson, and Alán Aspuru‐Guzik, "Expressibility and Entangling Capability of Parameterized Quantum Circuits for Hybrid Quantum‐Classical Algorithms", Advanced Quantum Technologies 2 12, 1900070 (2019).

[222] Iskren Vankov, Daniel Mills, Petros Wallden, and Elham Kashefi, "Methods for classically simulating noisy networked quantum architectures", Quantum Science and Technology 5 1, 014001 (2019).

[223] Keren Li, "Eliminating the noise from quantum computing hardware", Quantum Engineering (2019).

[224] Daniel C. Murphy and Kenneth R. Brown, "Controlling error orientation to improve quantum algorithm success rates", Physical Review A 99 3, 032318 (2019).

[225] Laszlo Gyongyosi and Sandor Imre, "Theory of Noise-Scaled Stability Bounds and Entanglement Rate Maximization in the Quantum Internet", Scientific Reports 10 1, 2745 (2020).

[226] Nathan Killoran, Josh Izaac, Nicolás Quesada, Ville Bergholm, Matthew Amy, and Christian Weedbrook, "Strawberry Fields: A Software Platform for Photonic Quantum Computing", Quantum 3, 129 (2019).

[227] Hayata Yamasaki and Mio Murao, "Quantum State Merging for Arbitrarily Small-Dimensional Systems", IEEE Transactions on Information Theory 65 6, 3950 (2019).

[228] Giacomo Torlai, Brian Timar, Evert P. L. van Nieuwenburg, Harry Levine, Ahmed Omran, Alexander Keesling, Hannes Bernien, Markus Greiner, Vladan Vuletić, Mikhail D. Lukin, Roger G. Melko, and Manuel Endres, "Integrating Neural Networks with a Quantum Simulator for State Reconstruction", Physical Review Letters 123 23, 230504 (2019).

[229] William M. Kirby and Peter J. Love, "Contextuality Test of the Nonclassicality of Variational Quantum Eigensolvers", Physical Review Letters 123 20, 200501 (2019).

[230] Jacob D. Biamonte, Pavel Dorozhkin, and Igor Zacharov, "Keep quantum computing global and open", Nature 573 7773, 190 (2019).

[231] Prakash Murali, David C. Mckay, Margaret Martonosi, and Ali Javadi-Abhari, Proceedings of the Twenty-Fifth International Conference on Architectural Support for Programming Languages and Operating Systems 1001 (2020) ISBN:9781450371025.

[232] Valentin Torggler, Philipp Aumann, Helmut Ritsch, and Wolfgang Lechner, "A Quantum N-Queens Solver", Quantum 3, 149 (2019).

[233] Andreas Fischer and Alexandra Paler, Proceedings of the 34th ACM/SIGAPP Symposium on Applied Computing - SAC '19 1378 (2019) ISBN:9781450359337.

[234] Zhi-Yuan Li, Hai-Feng Yu, Xin-Sheng Tan, Shi-Ping Zhao, and Yang Yu, "Manipulation of superconducting qubit with direct digital synthesis", Chinese Physics B 28 9, 098505 (2019).

[235] Robert Wezeman, Niels Neumann, and Frank Phillipson, "Distance-based classifier on the Quantum Inspire", Digitale Welt 4 1, 85 (2020).

[236] Gerardo A. Paz-Silva, Leigh M. Norris, Félix Beaudoin, and Lorenza Viola, "Extending comb-based spectral estimation to multiaxis quantum noise", Physical Review A 100 4, 042334 (2019).

[237] X. Bonet-Monroig, R. Sagastizabal, M. Singh, and T. E. O'Brien, "Low-cost error mitigation by symmetry verification", Physical Review A 98 6, 062339 (2018).

[238] Yuta Matsuzawa and Yuki Kurashige, "Jastrow-type Decomposition in Quantum Chemistry for Low-Depth Quantum Circuits", arXiv:1909.12410, Journal of Chemical Theory and Computation 16 2, 944 (2020).

[239] Catherine C. McGeoch, "Theory versus practice in annealing-based quantum computing", Theoretical Computer Science (2020).

[240] Laszlo Gyongyosi, "Quantum State Optimization and Computational Pathway Evaluation for Gate-Model Quantum Computers", Scientific Reports 10 1, 4543 (2020).

[241] Timothée Goubault de Brugière, Marc Baboulin, Benoît Valiron, and Cyril Allouche, Lecture Notes in Computer Science 11537, 3 (2019) ISBN:978-3-030-22740-1.

[242] Hamed Mohammadbagherpoor, Young-Hyun Oh, Patrick Dreher, Anand Singh, Xianqing Yu, and Andy J. Rindos, 2019 IEEE International Conference on Rebooting Computing (ICRC) 1 (2019) ISBN:978-1-7281-5221-9.

[243] Oscar Higgott, Daochen Wang, and Stephen Brierley, "Variational Quantum Computation of Excited States", Quantum 3, 156 (2019).

[244] Shih-Han Hung, Kesha Hietala, Shaopeng Zhu, Mingsheng Ying, Michael Hicks, and Xiaodi Wu, "Quantitative robustness analysis of quantum programs", Proceedings of the ACM on Programming Languages 3 POPL, 1 (2019).

[245] Swamit S. Tannu and Moinuddin Qureshi, Proceedings of the 52nd Annual IEEE/ACM International Symposium on Microarchitecture 253 (2019) ISBN:9781450369381.

[246] Felix Kleißler, Andrii Lazariev, and Silvia Arroyo-Camejo, "Universal, high-fidelity quantum gates based on superadiabatic, geometric phases on a solid-state spin-qubit at room temperature", npj Quantum Information 4 1, 49 (2018).

[247] Joel J. Wallman and Joseph Emerson, Quantum Information and Measurement (QIM) V: Quantum Technologies S3B.2 (2019) ISBN:978-1-943580-56-9.

[248] Alexander Kaufman, Daniel Sundy, and Michael McGuigan, 2019 New York Scientific Data Summit (NYSDS) 1 (2019) ISBN:978-1-7281-5235-6.

[249] Vladimir M. Stojanović, "Feasibility of single-shot realizations of conditional three-qubit gates in exchange-coupled qubit arrays with local control", Physical Review A 99 1, 012345 (2019).

[250] Thomas E O’Brien, Brian Tarasinski, and Barbara M Terhal, "Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments", New Journal of Physics 21 2, 023022 (2019).

[251] Swamit S. Tannu and Moinuddin K. Qureshi, Proceedings of the 52nd Annual IEEE/ACM International Symposium on Microarchitecture 279 (2019) ISBN:9781450369381.

[252] Leo Rogers and John McAllister, Lecture Notes in Computer Science 11733, 348 (2019) ISBN:978-3-030-27561-7.

[253] Timothée Goubault de Brugière, Marc Baboulin, Benoît Valiron, and Cyril Allouche, "Quantum circuits synthesis using Householder transformations", Computer Physics Communications 248, 107001 (2020).

[254] Kosuke Mitarai and Keisuke Fujii, "Methodology for replacing indirect measurements with direct measurements", Physical Review Research 1 1, 013006 (2019).

[255] Wolfgang Niedenzu, Marcus Huber, and Erez Boukobza, "Concepts of work in autonomous quantum heat engines", Quantum 3, 195 (2019).

[256] Prabha Mandayam, Krishna Jagannathan, and Avhishek Chatterjee, 2019 IEEE 20th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC) 1 (2019) ISBN:978-1-5386-6528-2.

[257] Hsuan‐Hao Lu, Zixuan Hu, Mohammed Saleh Alshaykh, Alexandria Jeanine Moore, Yuchen Wang, Poolad Imany, Andrew Marc Weiner, and Sabre Kais, "Quantum Phase Estimation with Time‐Frequency Qudits in a Single Photon", Advanced Quantum Technologies 3 2, 1900074 (2020).

[258] Mathias Soeken, Giulia Meuli, Bruno Schmitt, Fereshte Mozafari, Heinz Riener, and Giovanni De Micheli, "Boolean satisfiability in quantum compilation", Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378 2164, 20190161 (2020).

[259] Jonathan J. Burnett, Andreas Bengtsson, Marco Scigliuzzo, David Niepce, Marina Kudra, Per Delsing, and Jonas Bylander, "Decoherence benchmarking of superconducting qubits", npj Quantum Information 5 1, 54 (2019).

[260] Mogens Dalgaard, Felix Motzoi, Jens Jakob Sørensen, and Jacob Sherson, "Global optimization of quantum dynamics with AlphaZero deep exploration", npj Quantum Information 6 1, 6 (2020).

[261] William A. Borders, Ahmed Z. Pervaiz, Shunsuke Fukami, Kerem Y. Camsari, Hideo Ohno, and Supriyo Datta, "Integer factorization using stochastic magnetic tunnel junctions", Nature 573 7774, 390 (2019).

[262] N. Klco, E. F. Dumitrescu, A. J. McCaskey, T. D. Morris, R. C. Pooser, M. Sanz, E. Solano, P. Lougovski, and M. J. Savage, "Quantum-classical computation of Schwinger model dynamics using quantum computers", Physical Review A 98 3, 032331 (2018).

[263] Masayuki SHIRANE and Tsuyoshi YAMAMOTO, "Superconducting Parametric Oscillators for Quantum Annealing", Vacuum and Surface Science 63 3, 112 (2020).

[264] Laszlo Gyongyosi and Sandor Imre, "Quantum circuit design for objective function maximization in gate-model quantum computers", Quantum Information Processing 18 7, 225 (2019).

[265] Asif Shakeel, "Neighborhood-history quantum walk", Physica Scripta 94 6, 065207 (2019).

[266] Swamit S. Tannu and Moinuddin K. Qureshi, Proceedings of the Twenty-Fourth International Conference on Architectural Support for Programming Languages and Operating Systems - ASPLOS '19 987 (2019) ISBN:9781450362405.

[267] Yordan S. Yordanov and Crispin H. W. Barnes, "Implementation of a general single-qubit positive operator-valued measure on a circuit-based quantum computer", Physical Review A 100 6, 062317 (2019).

[268] Abdullah Ash-Saki, Mahabubul Alam, and Swaroop Ghosh, Proceedings of the 56th Annual Design Automation Conference 2019 on - DAC '19 1 (2019) ISBN:9781450367257.

[269] Yanzhu Chen, Maziar Farahzad, Shinjae Yoo, and Tzu-Chieh Wei, "Detector tomography on IBM quantum computers and mitigation of an imperfect measurement", Physical Review A 100 5, 052315 (2019).

[270] Laszlo Gyongyosi and Sandor Imre, "Training Optimization for Gate-Model Quantum Neural Networks", Scientific Reports 9 1, 12679 (2019).

[271] Fei Yan, Abdullah M. Iliyasu, Sihao Jiao, and Huamin Yang, "Quantum Structure for Modelling Emotion Space of Robots", Applied Sciences 9 16, 3351 (2019).

[272] Glen Bigan Mbeng, Luca Arceci, and Giuseppe E. Santoro, "Optimal working point in digitized quantum annealing", Physical Review B 100 22, 224201 (2019).

[273] David Layden, Mo Chen, and Paola Cappellaro, "Efficient Quantum Error Correction of Dephasing Induced by a Common Fluctuator", Physical Review Letters 124 2, 020504 (2020).

[274] Xin-Chuan Wu, Sheng Di, Emma Maitreyee Dasgupta, Franck Cappello, Hal Finkel, Yuri Alexeev, and Frederic T. Chong, Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis 1 (2019) ISBN:9781450362290.

[275] Yipeng Huang and Margaret Martonosi, Proceedings of the 46th International Symposium on Computer Architecture - ISCA '19 541 (2019) ISBN:9781450366694.

[276] Chungwei Lin, Yebin Wang, Grigory Kolesov, and Uroš Kalabić, "Application of Pontryagin's minimum principle to Grover's quantum search problem", Physical Review A 100 2, 022327 (2019).

[277] Jakub Czartowski, Konrad Szymański, Bartłomiej Gardas, Yan V. Fyodorov, and Karol Życzkowski, "Separability gap and large-deviation entanglement criterion", Physical Review A 100 4, 042326 (2019).

[278] Harper R. Grimsley, Daniel Claudino, Sophia E. Economou, Edwin Barnes, and Nicholas J. Mayhall, "Is the Trotterized UCCSD Ansatz Chemically Well-Defined?", Journal of Chemical Theory and Computation 16 1, 1 (2020).

[279] Sam McArdle, Tyson Jones, Suguru Endo, Ying Li, Simon C. Benjamin, and Xiao Yuan, "Variational ansatz-based quantum simulation of imaginary time evolution", npj Quantum Information 5 1, 75 (2019).

[280] Leonardo Novo, Shantanav Chakraborty, Masoud Mohseni, and Yasser Omar, "Environment-assisted analog quantum search", Physical Review A 98 2, 022316 (2018).

[281] Jianxin Chen, Fang Zhang, Cupjin Huang, Michael Newman, and Yaoyun Shi, "Classical Simulation of Intermediate-Size Quantum Circuits", arXiv:1805.01450.

[282] Seth Lloyd and Christian Weedbrook, "Quantum Generative Adversarial Learning", Physical Review Letters 121 4, 040502 (2018).

[283] Victor V. Albert, Kyungjoo Noh, Kasper Duivenvoorden, Dylan J. Young, R. T. Brierley, Philip Reinhold, Christophe Vuillot, Linshu Li, Chao Shen, S. M. Girvin, Barbara M. Terhal, and Liang Jiang, "Performance and structure of single-mode bosonic codes", Physical Review A 97 3, 032346 (2018).

[284] Sam McArdle, Suguru Endo, Alan Aspuru-Guzik, Simon Benjamin, and Xiao Yuan, "Quantum computational chemistry", arXiv:1808.10402.

[285] Yudong Cao, Jonathan Romero, Jonathan P. Olson, Matthias Degroote, Peter D. Johnson, Mária Kieferová, Ian D. Kivlichan, Tim Menke, Borja Peropadre, Nicolas P. D. Sawaya, Sukin Sim, Libor Veis, and Alán Aspuru-Guzik, "Quantum Chemistry in the Age of Quantum Computing", arXiv:1812.09976.

[286] Yunseong Nam, Jwo-Sy Chen, Neal C. Pisenti, Kenneth Wright, Conor Delaney, Dmitri Maslov, Kenneth R. Brown, Stewart Allen, Jason M. Amini, Joel Apisdorf, Kristin M. Beck, Aleksey Blinov, Vandiver Chaplin, Mika Chmielewski, Coleman Collins, Shantanu Debnath, Andrew M. Ducore, Kai M. Hudek, Matthew Keesan, Sarah M. Kreikemeier, Jonathan Mizrahi, Phil Solomon, Mike Williams, Jaime David Wong-Campos, Christopher Monroe, and Jungsang Kim, "Ground-state energy estimation of the water molecule on a trapped ion quantum computer", arXiv:1902.10171.

[287] Panagiotis Kl. Barkoutsos, Jerome F. Gonthier, Igor Sokolov, Nikolaj Moll, Gian Salis, Andreas Fuhrer, Marc Ganzhorn, Daniel J. Egger, Matthias Troyer, Antonio Mezzacapo, Stefan Filipp, and Ivano Tavernelli, "Quantum algorithms for electronic structure calculations: Particle-hole Hamiltonian and optimized wave-function expansions", Physical Review A 98 2, 022322 (2018).

[288] Ian C. Cloët, Matthew R. Dietrich, John Arrington, Alexei Bazavov, Michael Bishof, Adam Freese, Alexey V. Gorshkov, Anna Grassellino, Kawtar Hafidi, Zubin Jacob, Michael McGuigan, Yannick Meurice, Zein-Eddine Meziani, Peter Mueller, Christine Muschik, James Osborn, Matthew Otten, Peter Petreczky, Tomas Polakovic, Alan Poon, Raphael Pooser, Alessandro Roggero, Mark Saffman, Brent VanDevender, Jiehang Zhang, and Erez Zohar, "Opportunities for Nuclear Physics & Quantum Information Science", arXiv:1903.05453.

[289] Xun Gao and Luming Duan, "Efficient classical simulation of noisy quantum computation", arXiv:1810.03176.

[290] Abhinav Kandala, Kristan Temme, Antonio D. Corcoles, Antonio Mezzacapo, Jerry M. Chow, and Jay M. Gambetta, "Extending the computational reach of a noisy superconducting quantum processor", arXiv:1805.04492.

[291] Shin Nishio, Yulu Pan, Takahiko Satoh, Hideharu Amano, and Rodney Van Meter, "Extracting Success from IBM's 20-Qubit Machines Using Error-Aware Compilation", arXiv:1903.10963.

[292] Jonathan Romero and Alan Aspuru-Guzik, "Variational quantum generators: Generative adversarial quantum machine learning for continuous distributions", arXiv:1901.00848.

[293] Gushu Li, Yufei Ding, and Yuan Xie, "Tackling the Qubit Mapping Problem for NISQ-Era Quantum Devices", arXiv:1809.02573.

[294] Mohammad H. Ansari, "Exact quantization of superconducting circuits", arXiv:1807.00792.

[295] K. Bertels, A. Sarkar, A. A. Mouedenne, T. Hubregtsen, A. Yadav, A. Krol, and I. Ashraf, "Quantum Computer Architecture: Towards Full-Stack Quantum Accelerators", arXiv:1903.09575.

[296] Guillaume Verdon, Jason Pye, and Michael Broughton, "A Universal Training Algorithm for Quantum Deep Learning", arXiv:1806.09729.

[297] Neal Solmeyer, Norbert M. Linke, Caroline Figgatt, Kevin A. Landsman, Radhakrishnan Balu, George Siopsis, and C. Monroe, "Demonstration of a Bayesian quantum game on an ion-trap quantum computer", Quantum Science and Technology 3 4, 045002 (2018).

[298] Aram Harrow and John Napp, "Low-depth gradient measurements can improve convergence in variational hybrid quantum-classical algorithms", arXiv:1901.05374.

[299] Pierre-Luc Dallaire-Demers and Nathan Killoran, "Quantum generative adversarial networks", Physical Review A 98 1, 012324 (2018).

[300] Brian Swingle and Nicole Yunger Halpern, "Resilience of scrambling measurements", Physical Review A 97 6, 062113 (2018).

[301] Bryan O'Gorman, William J. Huggins, Eleanor G. Rieffel, and K. Birgitta Whaley, "Generalized swap networks for near-term quantum computing", arXiv:1905.05118.

[302] Sergey Novikov, Robert Hinkey, Steven Disseler, James I. Basham, Tameem Albash, Andrew Risinger, David Ferguson, Daniel A. Lidar, and Kenneth M. Zick, "Exploring More-Coherent Quantum Annealing", arXiv:1809.04485.

[303] Zhang Jiang, Jarrod McClean, Ryan Babbush, and Hartmut Neven, "Majorana loop stabilizer codes for error correction of fermionic quantum simulations", arXiv:1812.08190, Physical Review Applied 12 6, 064041 (2018).

[304] Tameem Albash and Daniel A. Lidar, "Demonstration of a Scaling Advantage for a Quantum Annealer over Simulated Annealing", Physical Review X 8 3, 031016 (2018).

[305] Eric R. Anschuetz, Jonathan P. Olson, Alán Aspuru-Guzik, and Yudong Cao, "Variational Quantum Factoring", arXiv:1808.08927.

[306] Johannes S. Otterbach, "Optimizing Variational Quantum Circuits using Evolution Strategies", arXiv:1806.04344.

[307] David P. Franke, James S. Clarke, Lieven M. K. Vandersypen, and Menno Veldhorst, "Rent's rule and extensibility in quantum computing", arXiv:1806.02145.

[308] Cupjin Huang, Michael Newman, and Mario Szegedy, "Explicit lower bounds on strong quantum simulation", arXiv:1804.10368.

[309] Swamit S. Tannu and Moinuddin K. Qureshi, "A Case for Variability-Aware Policies for NISQ-Era Quantum Computers", arXiv:1805.10224.

[310] J. Preskill, "Simulating quantum field theory with a quantum computer", The 36th Annual International Symposium on Lattice Field Theory. 22-28 July 24 (2018).

[311] Tianyi Peng, Aram Harrow, Maris Ozols, and Xiaodi Wu, "Simulating large quantum circuits on a small quantum computer", arXiv:1904.00102.

[312] Marina Radulaski, Jingyuan Linda Zhang, Yan-Kai Tzeng, Konstantinos G. Lagoudakis, Hitoshi Ishiwata, Constantin Dory, Kevin A. Fischer, Yousif A. Kelaita, Shuo Sun, Peter C. Maurer, Kassem Alassaad, Gabriel Ferro, Zhi-Xun Shen, Nicholas Melosh, Steven Chu, and Jelena Vučković, "Nanodiamond integration with photonic devices", arXiv:1610.03183.

[313] P. A. M. Casares and M. A. Martin-Delgado, "A Quantum Interior-Point Predictor-Corrector Algorithm for Linear Programming", arXiv:1902.06749.

[314] Jacob Biamonte, "Universal Variational Quantum Computation", arXiv:1903.04500.

[315] Brian Coyle, Daniel Mills, Vincent Danos, and Elham Kashefi, "The Born Supremacy: Quantum Advantage and Training of an Ising Born Machine", arXiv:1904.02214.

[316] Seth Lloyd and Reevu Maity, "Efficient implementation of unitary transformations", arXiv:1901.03431.

[317] Suguru Endo, Ying Li, Simon Benjamin, and Xiao Yuan, "Variational quantum simulation of general processes", arXiv:1812.08778.

[318] Tongyang Li, Shouvanik Chakrabarti, and Xiaodi Wu, "Sublinear quantum algorithms for training linear and kernel-based classifiers", arXiv:1904.02276.

[319] Yuxuan Du, Min-Hsiu Hsieh, Tongliang Liu, and Dacheng Tao, "The Expressive Power of Parameterized Quantum Circuits", arXiv:1810.11922.

[320] Ramis Movassagh, "Efficient unitary paths and quantum computational supremacy: A proof of average-case hardness of Random Circuit Sampling", arXiv:1810.04681.

[321] Aniruddha Bapat and Stephen Jordan, "Bang-bang control as a design principle for classical and quantum optimization algorithms", arXiv:1812.02746.

[322] Ryan Bennink, Ajay Jasra, Kody J. H. Law, and Pavel Lougovski, "Estimation and uncertainty quantification for the output from quantum simulators", arXiv:1903.02964.

[323] Zhang Jiang, Kevin J. Sung, Kostyantyn Kechedzhi, Vadim N. Smelyanskiy, and Sergio Boixo, "Quantum Algorithms to Simulate Many-Body Physics of Correlated Fermions", arXiv:1711.05395, Physical Review Applied 9 4, 044036 (2018).

[324] Valery Shchesnovich, "On the classical complexity of sampling from quantum interference of indistinguishable bosons", arXiv:1904.02013.

[325] Mark Fingerhuth, Tomáš Babej, and Christopher Ing, "A quantum alternating operator ansatz with hard and soft constraints for lattice protein folding", arXiv:1810.13411.

[326] X. Fu, L. Riesebos, M. A. Rol, J. van Straten, J. van Someren, N. Khammassi, I. Ashraf, R. F. L. Vermeulen, V. Newsum, K. K. L. Loh, J. C. de Sterke, W. J. Vlothuizen, R. N. Schouten, C. G. Almudever, L. DiCarlo, and K. Bertels, "eQASM: An Executable Quantum Instruction Set Architecture", arXiv:1808.02449.

[327] A. Garcia-Saez and J. I. Latorre, "Addressing hard classical problems with Adiabatically Assisted Variational Quantum Eigensolvers", arXiv:1806.02287.

[328] Juan Miguel Arrazola, Thomas R. Bromley, and Patrick Rebentrost, "Quantum approximate optimization with Gaussian boson sampling", Physical Review A 98 1, 012322 (2018).

[329] C. M. Wilson, J. S. Otterbach, N. Tezak, R. S. Smith, A. M. Polloreno, Peter J. Karalekas, S. Heidel, M. Sohaib Alam, G. E. Crooks, and M. P. da Silva, "Quantum Kitchen Sinks: An algorithm for machine learning on near-term quantum computers", arXiv:1806.08321.

[330] Siddhartha Das, "Bipartite Quantum Interactions: Entangling and Information Processing Abilities", arXiv:1901.05895.

[331] Ulysse Chabaud, Tom Douce, Frédéric Grosshans, Elham Kashefi, and Damian Markham, "Building trust for continuous variable quantum states", arXiv:1905.12700.

[332] Xilin Zhang, "Extracting free-space observables from trapped interacting clusters", arXiv:1905.05275.

[333] Yuxuan Du, Min-Hsiu Hsieh, and Dacheng Tao, "Efficient Online Quantum Generative Adversarial Learning Algorithms with Applications", arXiv:1904.09602.

[334] Zhong-Xiao Man, Yun-Jie Xia, and Rosario Lo Franco, "Temperature effects on quantum non-Markovianity via collision models", Physical Review A 97 6, 062104 (2018).

[335] Ruslan Shaydulin, Hayato Ushijima-Mwesigwa, Ilya Safro, Susan Mniszewski, and Yuri Alexeev, "Network Community Detection On Small Quantum Computers", arXiv:1810.12484.

[336] Kentaro Heya, Yasunari Suzuki, Yasunobu Nakamura, and Keisuke Fujii, "Variational Quantum Gate Optimization", arXiv:1810.12745.

[337] Prakash Murali, Norbert Matthias Linke, Margaret Martonosi, Ali Javadi Abhari, Nhung Hong Nguyen, and Cinthia Huerta Alderete, "Full-Stack, Real-System Quantum Computer Studies: Architectural Comparisons and Design Insights", arXiv:1905.11349.

[338] Ali Mortezapour and Rosario Lo Franco, "Protecting quantum resources via frequency modulation of qubits in leaky cavities", Scientific Reports 8, 14304 (2018).

[339] F. Tacchino, A. Chiesa, M. D. LaHaye, I. Tavernelli, S. Carretta, and D. Gerace, "Digital Quantum Simulations of Spin Models on Hybrid Platform and Near-Term Quantum Processors", arXiv:1902.04971.

[340] Frederic Bapst, Wahid Bhimji, Paolo Calafiura, Heather Gray, Wim Lavrijsen, and Lucy Linder, "A pattern recognition algorithm for quantum annealers", arXiv:1902.08324.

[341] Ruslan Shaydulin, Caleb Thomas, and Paige Rodeghero, "Making Quantum Computing Open: Lessons from Open-Source Projects", arXiv:1902.00991.

[342] Kostyantyn Kechedzhi, Vadim Smelyanskiy, Jarrod R. McClean, Vasil S. Denchev, Masoud Mohseni, Sergei Isakov, Sergio Boixo, Boris Altshuler, and Hartmut Neven, "Efficient population transfer via non-ergodic extended states in quantum spin glass", arXiv:1807.04792.

[343] Yongshan Ding, Adam Holmes, Ali Javadi-Abhari, Diana Franklin, Margaret Martonosi, and Frederic T. Chong, "Magic-State Functional Units: Mapping and Scheduling Multi-Level Distillation Circuits for Fault-Tolerant Quantum Architectures", arXiv:1809.01302.

[344] Keisuke Fujii, "Quantum speedup in stoquastic adiabatic quantum computation", arXiv:1803.09954.

[345] Guillaume Verdon, Michael Broughton, Jarrod R. McClean, Kevin J. Sung, Ryan Babbush, Zhang Jiang, Hartmut Neven, and Masoud Mohseni, "Learning to learn with quantum neural networks via classical neural networks", arXiv:1907.05415.

[346] Cristian S. Calude and Elena Calude, "The Road to Quantum Computational Supremacy", arXiv:1712.01356.

[347] Kaitlin Smith, Mathias Soeken, Bruno Schmitt, Giovanni De Micheli, and Mitchell Thornton, "Using ZDDs in the mapping of quantum circuits", arXiv:1901.02406.

[348] Freek Witteveen, Volkher Scholz, Brian Swingle, and Michael Walter, "Quantum circuit approximations and entanglement renormalization for the Dirac field in 1+1 dimensions", arXiv:1905.08821.

[349] Alwin Zulehner and Robert Wille, "Compiling SU(4) Quantum Circuits to IBM QX Architectures", arXiv:1808.05661.

[350] Valery Shchesnovich, "Quantum advantage with noisy boson sampling and density of bosons", arXiv:1905.11458.

[351] Salonik Resch and Ulya R. Karpuzcu, "Quantum Computing: An Overview Across the System Stack", arXiv:1905.07240.

[352] Javier Gil Vidal and Dirk Oliver Theis, "Calculus on parameterized quantum circuits", arXiv:1812.06323.

[353] Dorit Aharonov and Leo Zhou, "Hamiltonian sparsification and gap-simulations", arXiv:1804.11084.

[354] Alexandru Paler, "SurfBraid: A concept tool for preparing and resource estimating quantum circuits protected by the surface code", arXiv:1902.02417.

[355] V. O. Shkolnikov and Guido Burkard, "Effective Hamiltonian theory of the geometric evolution of quantum systems", arXiv:1810.00193.

[356] Wolfgang Lechner, "Quantum Approximate Optimization with Parallelizable Gates", arXiv:1802.01157.

[357] Omar Shehab, Isaac H. Kim, Nhung H. Nguyen, Kevin Landsman, Cinthia H. Alderete, Daiwei Zhu, C. Monroe, and Norbert M. Linke, "Noise reduction using past causal cones in variational quantum algorithms", arXiv:1906.00476.

[358] Mingxia Huo and Ying Li, "Self-consistent tomography of temporally correlated errors", arXiv:1811.02734.

[359] Yuxuan Du, Tongliang Liu, and Dacheng Tao, "Bayesian Quantum Circuit", arXiv:1805.11089.

[360] Ciarán Ryan-Anderson, "Quantum Algorithms, Architecture, and Error Correction", arXiv:1812.04735.

[361] Gushu Li, Yufei Ding, and Yuan Xie, "SANQ: A Simulation Framework for Architecting Noisy Intermediate-Scale Quantum Computing System", arXiv:1904.11590.

[362] Ruslan Shaydulin, Ilya Safro, and Jeffrey Larson, "Multistart Methods for Quantum Approximate Optimization", arXiv:1905.08768.

[363] Ajinkya Borle and Josh McCarter, "On Post-Processing the Results of Quantum Optimizers", arXiv:1905.13107.

[364] Patrick Rall, "Simulating Quantum Circuits by Shuffling Paulis", arXiv:1804.05404.

[365] Ramis Movassagh, "Cayley path and quantum computational supremacy: A proof of average-case $\#P-$hardness of Random Circuit Sampling with quantified robustness", arXiv:1909.06210.

[366] Alexandru Paler, Alwin Zulehner, and Robert Wille, "NISQ circuit compilers: search space structure and heuristics", arXiv:1806.07241.

[367] Adam Holmes, Yongshan Ding, Ali Javadi-Abhari, Diana Franklin, Margaret Martonosi, and Frederic T. Chong, "Resource Optimized Quantum Architectures for Surface Code Implementations of Magic-State Distillation", arXiv:1904.11528.

[368] Ruslan Shaydulin, Hayato Ushijima-Mwesigwa, Ilya Safro, Susan Mniszewski, and Yuri Alexeev, "Community Detection Across Emerging Quantum Architectures", arXiv:1810.07765.

[369] Gavin E. Crooks, "Gradients of parameterized quantum gates using the parameter-shift rule and gate decomposition", arXiv:1905.13311.

[370] Xi Chen, Bin Cheng, Zhaokai Li, Xinfang Nie, Nengkun Yu, Man-Hong Yung, and Xinhua Peng, "Experimental Cryptographic Verification for Near-Term Quantum Cloud Computing", arXiv:1808.07375.

[371] Taewan Kim and Byung-Soo Choi, "Efficient decomposition methods for controlled-R<SUB>n</SUB> using a single ancillary qubit", Scientific Reports 8, 5445 (2018).

[372] Eyal Bairey, Chu Guo, Dario Poletti, Netanel H. Lindner, and Itai Arad, "Learning the dynamics of open quantum systems from their steady states", arXiv:1907.11154.

[373] Nai-Hui Chia, András Gilyén, Tongyang Li, Han-Hsuan Lin, Ewin Tang, and Chunhao Wang, "Sampling-based sublinear low-rank matrix arithmetic framework for dequantizing quantum machine learning", arXiv:1910.06151.

[374] Kanav Setia, Richard Chen, Julia E. Rice, Antonio Mezzacapo, Marco Pistoia, and James Whitfield, "Reducing qubit requirements for quantum simulation using molecular point group symmetries", arXiv:1910.14644.

[375] Stefano Gandolfi, "Cloud Quantum Computing Tackles Simple Nucleus", Physics Online Journal 11, 51 (2018).

[376] Justin E. Christensen, David Hucul, Wesley C. Campbell, and Eric R. Hudson, "High fidelity manipulation of a qubit built from a synthetic nucleus", arXiv:1907.13331.

[377] Hamed Mohammadbagherpoor, Young-Hyun Oh, Patrick Dreher, Anand Singh, Xianqing Yu, and Andy J. Rindos, "An Improved Implementation Approach for Quantum Phase Estimation on Quantum Computers", arXiv:1910.11696.

[378] Abdullah Ash Saki, Mahabubul Alam, and Swaroop Ghosh, "Study of Decoherence in Quantum Computers: A Circuit-Design Perspective", arXiv:1904.04323.

[379] Narayanan Rengaswamy, Robert Calderbank, Swanand Kadhe, and Henry D. Pfister, "Logical Clifford Synthesis for Stabilizer Codes", arXiv:1907.00310.

[380] Anton Robert, Panagiotis Kl. Barkoutsos, Stefan Woerner, and Ivano Tavernelli, "Resource-Efficient Quantum Algorithm for Protein Folding", arXiv:1908.02163.

[381] Toshinari Itoko, Rudy Raymond, Takashi Imamichi, and Atsushi Matsuo, "Optimization of Quantum Circuit Mapping using Gate Transformation and Commutation", arXiv:1907.02686.

[382] Adam Smith, Bernhard Jobst, Andrew G. Green, and Frank Pollmann, "Crossing a topological phase transition with a quantum computer", arXiv:1910.05351.

[383] Travis L. Scholten, Yi-Kai Liu, Kevin Young, and Robin Blume-Kohout, "Classifying single-qubit noise using machine learning", arXiv:1908.11762.

[384] Daniel Vert, Renaud Sirdey, and Stéphane Louise, "Revisiting old combinatorial beasts in the quantum age: quantum annealing versus maximal matching", arXiv:1910.05129.

[385] Lasse Bjørn Kristensen, Matthias Degroote, Peter Wittek, Alán Aspuru-Guzik, and Nikolaj T. Zinner, "An Artificial Spiking Quantum Neuron", arXiv:1907.06269.

[386] Sumsam Ullah Khan, Ahsan Javed Awan, and Gemma Vall-Llosera, "K-Means Clustering on Noisy Intermediate Scale Quantum Computers", arXiv:1909.12183.

[387] Naeimeh Mohseni, Marek Narozniak, Alexey N. Pyrkov, Valentin Ivannikov, Jonathan P. Dowling, and Tim Byrnes, "Error suppression in adiabatic quantum computing with qubit ensembles", arXiv:1909.09947.

[388] Anurag Mishra and Alireza Shabani, "High-Quality Protein Force Fields with Noisy Quantum Processors", arXiv:1907.07128.

[389] Kelvin Loh, "Fairness evaluation during the conceptual design of heat grids with quantum annealers", arXiv:1910.09929.

[390] Jiayin Chen and Hendra I. Nurdin, "Learning nonlinear input-output maps with dissipative quantum systems", Quantum Information Processing 18 7, 198 (2019).

[391] Tameem Albash, Victor Martin-Mayor, and Itay Hen, "Analog errors in Ising machines", Quantum Science and Technology 4 2, 02LT03 (2019).

[392] V. E. Zobov and I. S. Pichkovskiy, "Sequences of selective rotation operators to engineer interactions for quantum annealing on three qutrits", Society of Photo-Optical Instrumentation Engineers (SPIE) Conference Series 11022, 110222V (2019).

[393] Deanna M. Abrams, Nicolas Didier, Blake R. Johnson, Marcus P. da Silva, and Colm A. Ryan, "Implementation of the XY interaction family with calibration of a single pulse", arXiv:1912.04424.

[394] Prakash Murali, David C. McKay, Margaret Martonosi, and Ali Javadi-Abhari, "Software Mitigation of Crosstalk on Noisy Intermediate-Scale Quantum Computers", arXiv:2001.02826.

[395] Srinivasan Arunachalam and Reevu Maity, "Quantum Boosting", arXiv:2002.05056.

[396] Young-Hyun Oh, Hamed Mohammadbagherpoor, Patrick Dreher, Anand Singh, Xianqing Yu, and Andy J. Rindos, "Solving Multi-Coloring Combinatorial Optimization Problems Using Hybrid Quantum Algorithms", arXiv:1911.00595.

[397] Mark B. Ritter, "Near-term Quantum Algorithms for Quantum Many-body Systems", Journal of Physics Conference Series 1290 1, 012003 (2019).

[398] David W. Kribs, Ningping Cao, Chi-Kwong Li, Yiu-Tung Poon, Bei Zeng, and Mike Nelson, "Higher Rank Matricial Ranges and Hybrid Quantum Error Correction", arXiv:1911.12744.

[399] Jelmer J. Renema, "Simulability of Imperfect Gaussian and Superposition Boson Sampling", arXiv:1911.10112.

[400] H. W. L. Naus, "NISQ computing for decision making under uncertainty", arXiv:1911.06167.

[401] Bálint Koczor and Simon C. Benjamin, "Quantum natural gradient generalised to non-unitary circuits", arXiv:1912.08660.

[402] Qihao Guo, Yuan-Yuan Zhao, Markus Grassl, Xinfang Nie, Guo-Yong Xiang, Tao Xin, Zhang-Qi Yin, and Bei Zeng, "Testing a Quantum Error-Correcting Code on Various Platforms", arXiv:2001.07998.

[403] Rodrigo S. Sousa, Priscila G. M. dos Santos, Tiago M. L. Veras, Wilson R. de Oliveira, and Adenilton J. da Silva, "Parametric Probabilistic Quantum Memory", arXiv:2001.04798.

[404] Minsung Kim, Davide Venturelli, and Kyle Jamieson, "Leveraging Quantum Annealing for Large MIMO Processing in Centralized Radio Access Networks", arXiv:2001.04014.

[405] Inés de Vega, "The quantum dynamical map of the spin boson model", arXiv:2001.04236.

[406] Ryan LaRose and Brian Coyle, "Robust data encodings for quantum classifiers", arXiv:2003.01695.

[407] Runyao Duan, "Quantum Adiabatic Theorem Revisited", arXiv:2003.03063.

[408] Michael Broughton, Guillaume Verdon, Trevor McCourt, Antonio J. Martinez, Jae Hyeon Yoo, Sergei V. Isakov, Philip Massey, Murphy Yuezhen Niu, Ramin Halavati, Evan Peters, Martin Leib, Andrea Skolik, Michael Streif, David Von Dollen, Jarrod R. McClean, Sergio Boixo, Dave Bacon, Alan K. Ho, Hartmut Neven, and Masoud Mohseni, "TensorFlow Quantum: A Software Framework for Quantum Machine Learning", arXiv:2003.02989.

[409] Mark Hodson, Brendan Ruck, Hugh Ong, David Garvin, and Stefan Dulman, "Portfolio rebalancing experiments using the Quantum Alternating Operator Ansatz", arXiv:1911.05296.

[410] Omer Sakarya, Marek Winczewski, Adam Rutkowski, and Karol Horodecki, "Memory Cost of an Anti-malware Quantum Network Design", arXiv:1912.07548.

[411] Shouvanik Chakrabarti, Yiming Huang, Tongyang Li, Soheil Feizi, and Xiaodi Wu, "Quantum Wasserstein Generative Adversarial Networks", arXiv:1911.00111.

[412] Rui Chao, Dawei Ding, Andras Gilyen, Cupjin Huang, and Mario Szegedy, "Finding Angles for Quantum Signal Processing with Machine Precision", arXiv:2003.02831.

[413] Samuel A. Wilkinson and Michael J. Hartmann, "Many-body quantum circuits for quantum simulation and computing", arXiv:2003.08838.

[414] Yuxuan Du, Min-Hsiu Hsieh, Tongliang Liu, Dacheng Tao, and Nana Liu, "Quantum noise protects quantum classifiers against adversaries", arXiv:2003.09416.

[415] Kouhei Nakaji, "Faster Amplitude Estimation", arXiv:2003.02417.

The above citations are from Crossref's cited-by service (last updated successfully 2020-03-15 06:27:19) and SAO/NASA ADS (last updated successfully 2020-04-03 08:34:58). The list may be incomplete as not all publishers provide suitable and complete citation data.

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