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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[444] Chenyi Zhang, Jiaqi Leng, and Tongyang Li, "Quantum algorithms for escaping from saddle points", Quantum 5, 529 (2021).

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[492] Yan Zhu, Ge Bai, Yuexuan Wang, Tongyang Li, and Giulio Chiribella, "Quantum autoencoders for communication-efficient quantum cloud computing", arXiv:2112.12369, (2021).

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[632] Alexey E. Rastegin and Anzhelika M. Shemet, "Quantum search degeneration under amplitude noise in queries to the oracle", Quantum Information Processing 21 5, 158 (2022).

[633] Daniel González-Cuadra, Torsten V. Zache, Jose Carrasco, Barbara Kraus, and Peter Zoller, "Hardware Efficient Quantum Simulation of Non-Abelian Gauge Theories with Qudits on Rydberg Platforms", Physical Review Letters 129 16, 160501 (2022).

[634] Zixin Huang, Gavin K. Brennen, and Yingkai Ouyang, "Imaging Stars with Quantum Error Correction", Physical Review Letters 129 21, 210502 (2022).

[635] Andrea Skolik, Sofiene Jerbi, and Vedran Dunjko, "Quantum agents in the Gym: a variational quantum algorithm for deep Q-learning", Quantum 6, 720 (2022).

[636] Martin Larocca, Piotr Czarnik, Kunal Sharma, Gopikrishnan Muraleedharan, Patrick J. Coles, and M. Cerezo, "Diagnosing Barren Plateaus with Tools from Quantum Optimal Control", Quantum 6, 824 (2022).

[637] Bruno Murta and J. Fernández-Rossier, "One-to-one correspondence between thermal structure factors and coupling constants of general bilinear Hamiltonians", Physical Review E 105 6, L062101 (2022).

[638] Sijia Gao, Fergus Hayes, Sarah Croke, Chris Messenger, and John Veitch, "Quantum algorithm for gravitational-wave matched filtering", Physical Review Research 4 2, 023006 (2022).

[639] Aydin Deger, Sthitadhi Roy, and Achilleas Lazarides, "Arresting Classical Many-Body Chaos by Kinetic Constraints", Physical Review Letters 129 16, 160601 (2022).

[640] Elijah Pelofske, Andreas Bärtschi, and Stephan Eidenbenz, "Quantum Volume in Practice: What Users Can Expect from NISQ Devices", arXiv:2203.03816, (2022).

[641] Manuel G. Algaba, Mario Ponce-Martinez, Carlos Munuera-Javaloy, Vicente Pina-Canelles, Manish J. Thapa, Bruno G. Taketani, Martin Leib, Inés de Vega, Jorge Casanova, and Hermanni Heimonen, "Co-Design quantum simulation of nanoscale NMR", Physical Review Research 4 4, 043089 (2022).

[642] Jonah Kudler-Flam, Ramanjit Sohal, and Laimei Nie, "Information Scrambling with Conservation Laws", SciPost Physics 12 4, 117 (2022).

[643] Liangliang Fan and Haozhen Situ, "Compact data encoding for data re-uploading quantum classifier", Quantum Information Processing 21 3, 87 (2022).

[644] Bálint Koczor and Simon C. Benjamin, "Quantum analytic descent", Physical Review Research 4 2, 023017 (2022).

[645] N. N. Hegade, P. Chandarana, K. Paul, Xi Chen, F. Albarrán-Arriagada, and E. Solano, "Portfolio optimization with digitized counterdiabatic quantum algorithms", Physical Review Research 4 4, 043204 (2022).

[646] Paul K. Faehrmann, Mark Steudtner, Richard Kueng, Maria Kieferova, and Jens Eisert, "Randomizing multi-product formulas for Hamiltonian simulation", Quantum 6, 806 (2022).

[647] Jonathan Wurtz and Peter J. Love, "Counterdiabaticity and the quantum approximate optimization algorithm", Quantum 6, 635 (2022).

[648] Joris Kattemölle and Jasper van Wezel, "Variational quantum eigensolver for the Heisenberg antiferromagnet on the kagome lattice", Physical Review B 106 21, 214429 (2022).

[649] Rihito Sakurai, Wataru Mizukami, and Hiroshi Shinaoka, "Hybrid quantum-classical algorithm for computing imaginary-time correlation functions", Physical Review Research 4 2, 023219 (2022).

[650] Steven Herbert, "Quantum Monte Carlo Integration: The Full Advantage in Minimal Circuit Depth", Quantum 6, 823 (2022).

[651] Lucas Slattery, Benjamin Villalonga, and Bryan K. Clark, "Unitary block optimization for variational quantum algorithms", Physical Review Research 4 2, 023072 (2022).

[652] Siddharth Dangwal, Ritvik Sharma, and Debanjan Bhowmik, "Fast-QTrain: an algorithm for fast training of variational classifiers", Quantum Information Processing 21 5, 189 (2022).

[653] Karolina Kolos, Vladimir Sobes, Ramona Vogt, Catherine E. Romano, Michael S. Smith, Lee A. Bernstein, David A. Brown, Mary T. Burkey, Yaron Danon, Mohamed A. Elsawi, Bethany L. Goldblum, Lawrence H. Heilbronn, Susan L. Hogle, Jesson Hutchinson, Ben Loer, Elizabeth A. McCutchan, Matthew R. Mumpower, Ellen M. O'Brien, Catherine Percher, Patrick N. Peplowski, Jennifer J. Ressler, Nicolas Schunck, Nicholas W. Thompson, Andrew S. Voyles, William Wieselquist, and Michael Zerkle, "Current nuclear data needs for applications", Physical Review Research 4 2, 021001 (2022).

[654] Gregory Boyd and Bálint Koczor, "Training Variational Quantum Circuits with CoVaR: Covariance Root Finding with Classical Shadows", Physical Review X 12 4, 041022 (2022).

[655] Sven Jandura and Guido Pupillo, "Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms", Quantum 6, 712 (2022).

[656] Michael Meth, Viacheslav Kuzmin, Rick van Bijnen, Lukas Postler, Roman Stricker, Rainer Blatt, Martin Ringbauer, Thomas Monz, Pietro Silvi, and Philipp Schindler, "Probing Phases of Quantum Matter with an Ion-Trap Tensor-Network Quantum Eigensolver", Physical Review X 12 4, 041035 (2022).

[657] Emilie Huffman, Miguel García Vera, and Debasish Banerjee, "Toward the real-time evolution of gauge-invariant Z<SUB>2</SUB> and U (1 ) quantum link models on noisy intermediate-scale quantum hardware with error mitigation", Physical Review D 106 9, 094502 (2022).

[658] Zhenhuan Liu, Yifan Tang, Hao Dai, Pengyu Liu, Shu Chen, and Xiongfeng Ma, "Detecting Entanglement in Quantum Many-Body Systems via Permutation Moments", Physical Review Letters 129 26, 260501 (2022).

[659] Noah F. Berthusen, Thaís V. Trevisan, Thomas Iadecola, and Peter P. Orth, "Quantum dynamics simulations beyond the coherence time on noisy intermediate-scale quantum hardware by variational Trotter compression", Physical Review Research 4 2, 023097 (2022).

[660] Wonho Jang, Koji Terashi, Masahiko Saito, Christian W. Bauer, Benjamin Nachman, Yutaro Iiyama, Ryunosuke Okubo, and Ryu Sawada, "Initial-State Dependent Optimization of Controlled Gate Operations with Quantum Computer", Quantum 6, 798 (2022).

[661] Giuseppe Clemente, Arianna Crippa, and Karl Jansen, "Strategies for the determination of the running coupling of (2 +1 )-dimensional QED with quantum computing", Physical Review D 106 11, 114511 (2022).

[662] Anthony W. Schlimgen, Kade Head-Marsden, LeeAnn M. Sager, Prineha Narang, and David A. Mazziotti, "Quantum simulation of the Lindblad equation using a unitary decomposition of operators", Physical Review Research 4 2, 023216 (2022).

[663] Boxi Li, Shahnawaz Ahmed, Sidhant Saraogi, Neill Lambert, Franco Nori, Alexander Pitchford, and Nathan Shammah, "Pulse-level noisy quantum circuits with QuTiP", Quantum 6, 630 (2022).

[664] Hao-Kai Zhang, Chengkai Zhu, Geng Liu, and Xin Wang, "Fundamental limitations on optimization in variational quantum algorithms", arXiv:2205.05056, (2022).

[665] Nikita A. Nemkov, Evgeniy O. Kiktenko, Ilia A. Luchnikov, and Aleksey K. Fedorov, "Efficient variational synthesis of quantum circuits with coherent multi-start optimization", arXiv:2205.01121, (2022).

[666] Wenyang Qian, Robert Basili, Soham Pal, Glenn Luecke, and James P. Vary, "Solving hadron structures using the basis light-front quantization approach on quantum computers", Physical Review Research 4 4, 043193 (2022).

[667] Nishant Jain, Brian Coyle, Elham Kashefi, and Niraj Kumar, "Graph neural network initialisation of quantum approximate optimisation", Quantum 6, 861 (2022).

[668] Ziwen Huang, Xinyuan You, Ugur Alyanak, Alexander Romanenko, Anna Grassellino, and Shaojiang Zhu, "High-Order Qubit Dephasing at Sweet Spots by Non-Gaussian Fluctuators: Symmetry Breaking and Floquet Protection", Physical Review Applied 18 6, L061001 (2022).

[669] Yinqi Chen, Konstantin N. Nesterov, Vladimir E. Manucharyan, and Maxim G. Vavilov, "Fast Flux Entangling Gate for Fluxonium Circuits", Physical Review Applied 18 3, 034027 (2022).

[670] Ioannis Kolotouros and Petros Wallden, "Evolving objective function for improved variational quantum optimization", Physical Review Research 4 2, 023225 (2022).

[671] Matthew Girling, Cristina Cîrstoiu, and David Jennings, "Estimation of correlations and nonseparability in quantum channels via unitarity benchmarking", Physical Review Research 4 2, 023041 (2022).

[672] Benjamin Lienhard, Antti Vepsäläinen, Luke C. G. Govia, Cole R. Hoffer, Jack Y. Qiu, Diego Ristè, Matthew Ware, David Kim, Roni Winik, Alexander Melville, Bethany Niedzielski, Jonilyn Yoder, Guilhem J. Ribeill, Thomas A. Ohki, Hari K. Krovi, Terry P. Orlando, Simon Gustavsson, and William D. Oliver, "Deep-Neural-Network Discrimination of Multiplexed Superconducting-Qubit States", Physical Review Applied 17 1, 014024 (2022).

[673] Zixuan Hu, Kade Head-Marsden, David A. Mazziotti, Prineha Narang, and Sabre Kais, "A general quantum algorithm for open quantum dynamics demonstrated with the Fenna-Matthews-Olson complex", Quantum 6, 726 (2022).

[674] Carlos Bravo-Prieto, Julien Baglio, Marco Cè, Anthony Francis, Dorota M. Grabowska, and Stefano Carrazza, "Style-based quantum generative adversarial networks for Monte Carlo events", Quantum 6, 777 (2022).

[675] Zhenning Liu and Alexandru Gheorghiu, "Depth-efficient proofs of quantumness", Quantum 6, 807 (2022).

[676] Andrea Matic, Maureen Monnet, Jeanette Miriam Lorenz, Balthasar Schachtner, and Thomas Messerer, "Quantum-classical convolutional neural networks in radiological image classification", arXiv:2204.12390, (2022).

[677] Zongkang Zhang, Yongdan Yang, Xiaosi Xu, and Ying Li, "Quantum algorithms for Schrieffer-Wolff transformation", Physical Review Research 4 4, 043023 (2022).

[678] Dmitry A. Fedorov, Yuri Alexeev, Stephen K. Gray, and Matthew Otten, "Unitary Selective Coupled-Cluster Method", Quantum 6, 703 (2022).

[679] Yunlong Yu, Chenfeng Cao, Carter Dewey, Xiang-Bin Wang, Nic Shannon, and Robert Joynt, "Quantum approximate optimization algorithm with adaptive bias fields", Physical Review Research 4 2, 023249 (2022).

[680] Özlem Salehi, Adam Glos, and Jarosław Adam Miszczak, "Unconstrained binary models of the travelling salesman problem variants for quantum optimization", Quantum Information Processing 21 2, 67 (2022).

[681] Yuki Takeuchi, Yasuhiro Takahashi, Tomoyuki Morimae, and Seiichiro Tani, "Divide-and-conquer verification method for noisy intermediate-scale quantum computation", Quantum 6, 758 (2022).

[682] Basudha Srivastava, Anton Frisk Kockum, and Mats Granath, "The XYZ2 hexagonal stabilizer code", Quantum 6, 698 (2022).

[683] Zhiyuan Yao, Lei Pan, Shang Liu, and Pengfei Zhang, "Bounding entanglement entropy using zeros of local correlation matrices", Physical Review Research 4 4, L042037 (2022).

[684] Baptiste Anselme Martin, Pascal Simon, and Marko J. Rančić, "Simulating strongly interacting Hubbard chains with the variational Hamiltonian ansatz on a quantum computer", Physical Review Research 4 2, 023190 (2022).

[685] Plato Deliyannis, James Sud, Diana Chamaki, Zoë Webb-Mack, Christian W. Bauer, and Benjamin Nachman, "Improving quantum simulation efficiency of final state radiation with dynamic quantum circuits", Physical Review D 106 3, 036007 (2022).

[686] Alexis Morvan, Larry Chen, Jeffrey M. Larson, David I. Santiago, and Irfan Siddiqi, "Optimizing frequency allocation for fixed-frequency superconducting quantum processors", Physical Review Research 4 2, 023079 (2022).

[687] Jin-Min Liang, Shu-Qian Shen, Ming Li, and Shao-Ming Fei, "Quantum algorithms for the generalized eigenvalue problem", Quantum Information Processing 21 1, 23 (2022).

[688] Kazuki Ikeda and Shoto Aoki, "Theory of quantum games and quantum economic behavior", Quantum Information Processing 21 1, 27 (2022).

[689] John P. T. Stenger, Gilad Ben-Shach, David Pekker, and Nicholas T. Bronn, "Simulating spectroscopy experiments with a superconducting quantum computer", Physical Review Research 4 4, 043106 (2022).

[690] Jinyoung Ha, Jonghyun Lee, and Jun Heo, "Resource analysis of quantum computing with noisy qubits for Shor's factoring algorithms", Quantum Information Processing 21 2, 60 (2022).

[691] Quancheng Liu, Klaus Ziegler, David A. Kessler, and Eli Barkai, "Driving quantum systems with periodic conditional measurements", Physical Review Research 4 2, 023129 (2022).

[692] Luca Erhart, Kosuke Mitarai, Wataru Mizukami, and Keisuke Fujii, "Constructing Local Bases for a Deep Variational Quantum Eigensolver for Molecular Systems", Physical Review Applied 18 6, 064051 (2022).

[693] Xuanqiang Zhao, Benchi Zhao, Zihan Xia, and Xin Wang, "Information recoverability of noisy quantum states", arXiv:2203.04862, (2022).

[694] R. S. Amal and J. Solomon Ivan, "A quantum genetic algorithm for optimization problems on the Bloch sphere", Quantum Information Processing 21 2, 43 (2022).

[695] Daniel Huerga, "Variational Quantum Simulation of Valence-Bond Solids", Quantum 6, 874 (2022).

[696] Tyson Jones and Simon C. Benjamin, "Robust quantum compilation and circuit optimisation via energy minimisation", Quantum 6, 628 (2022).

[697] Tudor Giurgica-Tiron, Iordanis Kerenidis, Farrokh Labib, Anupam Prakash, and William Zeng, "Low depth algorithms for quantum amplitude estimation", Quantum 6, 745 (2022).

[698] Stavros Efthymiou, Marco Lazzarin, Andrea Pasquale, and Stefano Carrazza, "Quantum simulation with just-in-time compilation", Quantum 6, 814 (2022).

[699] Kim Pöyhönen, Ali G. Moghaddam, and Teemu Ojanen, "Many-body entanglement and topology from uncertainties and measurement-induced modes", Physical Review Research 4 2, 023200 (2022).

[700] Andrey Zhukov and Walter Pogosov, "Quantum error reduction with deep neural network applied at the post-processing stage", Quantum Information Processing 21 3, 93 (2022).

[701] Lidia Stocker, Stefan H. Sack, Michael S. Ferguson, and Oded Zilberberg, "Entanglement-based observables for quantum impurities", Physical Review Research 4 4, 043177 (2022).

[702] Andrew Y. Guo, Abhinav Deshpande, Su-Kuan Chu, Zachary Eldredge, Przemyslaw Bienias, Dhruv Devulapalli, Yuan Su, Andrew M. Childs, and Alexey V. Gorshkov, "Implementing a fast unbounded quantum fanout gate using power-law interactions", Physical Review Research 4 4, L042016 (2022).

[703] Youle Wang, Benchi Zhao, and Xin Wang, "Quantum algorithms for estimating quantum entropies", arXiv:2203.02386, (2022).

[704] E. Bahnsen, S. E. Rasmussen, N. J. S. Loft, and N. T. Zinner, "Application of the Diamond Gate in Quantum Fourier Transformations and Quantum Machine Learning", Physical Review Applied 17 2, 024053 (2022).

[705] Xinyi Chen, Elad Hazan, Tongyang Li, Zhou Lu, Xinzhao Wang, and Rui Yang, "Adaptive Online Learning of Quantum States", arXiv:2206.00220, (2022).

[706] Shashank Kumar Ranu and Daniel D. Stancil, "Single-magnon excited states of a Heisenberg spin chain using a quantum computer", Physical Review B 106 18, 184402 (2022).

[707] Hiroshi Ohno, "Boosting for quantum weak learners", Quantum Information Processing 21 6, 199 (2022).

[708] I. -Chi Chen, Benjamin Burdick, Yongxin Yao, Peter P. Orth, and Thomas Iadecola, "Error-mitigated simulation of quantum many-body scars on quantum computers with pulse-level control", Physical Review Research 4 4, 043027 (2022).

[709] Poulami Das, Suhas K. Vittal, and Moinuddin Qureshi, "ForeSight: Reducing SWAPs in NISQ Programs via Adaptive Multi-Candidate Evaluations", arXiv:2204.13142, (2022).

[710] Bernhard Irsigler and Tobias Grass, "The quantum annealing gap and quench dynamics in the exact cover problem", Quantum 6, 624 (2022).

[711] Jacopo Rizzo, Francesco Libbi, Francesco Tacchino, Pauline J. Ollitrault, Nicola Marzari, and Ivano Tavernelli, "One-particle Green's functions from the quantum equation of motion algorithm", Physical Review Research 4 4, 043011 (2022).

[712] Finn Voichick, Liyi Li, Robert Rand, and Michael Hicks, "Qunity: A Unified Language for Quantum and Classical Computing (Extended Version)", arXiv:2204.12384, (2022).

[713] Isabel Nha Minh Le, Julian D. Teske, Tobias Hangleiter, Pascal Cerfontaine, and Hendrik Bluhm, "Analytic Filter-Function Derivatives for Quantum Optimal Control", Physical Review Applied 17 2, 024006 (2022).

[714] Bin Xu and Wei Xue, "(3 +1 )-dimensional Schwinger pair production with quantum computers", Physical Review D 106 11, 116007 (2022).

[715] Obinna Abah, Gabriele De Chiara, Mauro Paternostro, and Ricardo Puebla, "Harnessing nonadiabatic excitations promoted by a quantum critical point: Quantum battery and spin squeezing", Physical Review Research 4 2, L022017 (2022).

[716] Marco Maronese, Claudio Destri, and Enrico Prati, "Quantum activation functions for quantum neural networks", Quantum Information Processing 21 4, 128 (2022).

[717] Roeland Wiersema, Leonardo Guerini, Juan Felipe Carrasquilla, and Leandro Aolita, "Circuit connectivity boosts by quantum-classical-quantum interfaces", Physical Review Research 4 4, 043221 (2022).

[718] Philipp M. Mutter and Guido Burkard, "Fingerprints of Qubit Noise in Transient Cavity Transmission", Physical Review Letters 128 23, 236801 (2022).

[719] Pengcheng Zhu, Shenggen Zheng, Lihua Wei, Xueyun Cheng, Zhijin Guan, and Shiguang Feng, "The complexity of quantum circuit mapping with fixed parameters", Quantum Information Processing 21 10, 361 (2022).

[720] Lennart Maximilian Seifert, Jason Chadwick, Andrew Litteken, Frederic T. Chong, and Jonathan M. Baker, "Time-Efficient Qudit Gates through Incremental Pulse Re-seeding", arXiv:2206.14975, (2022).

[721] Akshaya Jayashankar, My Duy Hoang Long, Hui Khoon Ng, and Prabha Mandayam, "Achieving fault tolerance against amplitude-damping noise", Physical Review Research 4 2, 023034 (2022).

[722] Jannes Nys and Giuseppe Carleo, "Variational solutions to fermion-to-qubit mappings in two spatial dimensions", Quantum 6, 833 (2022).

[723] Ángel Gutiérrez-Rubio, Juan S. Rojas-Arias, Jun Yoneda, Seigo Tarucha, Daniel Loss, and Peter Stano, "Bayesian estimation of correlation functions", Physical Review Research 4 4, 043166 (2022).

[724] Zhi-Cheng Yang, "Distinction between transport and Rényi entropy growth in kinetically constrained models", Physical Review B 106 22, L220303 (2022).

[725] David A. Herrera-Martí, "Policy Gradient Approach to Compilation of Variational Quantum Circuits", Quantum 6, 797 (2022).

[726] D. V. Babukhin and W. V. Pogosov, "The effect of quantum noise on algorithmic perfect quantum state transfer on NISQ processors", Quantum Information Processing 21 1, 7 (2022).

[727] Hasan Yetiş and Mehmet Karaköse, "An improved and cost reduced quantum circuit generator approach for image encoding applications", Quantum Information Processing 21 6, 203 (2022).

[728] Tinggui Zhang, Naihuan Jing, and Shao-Ming Fei, "Quantum separability criteria based on realignment moments", Quantum Information Processing 21 8, 276 (2022).

[729] Dax Enshan Koh and Sabee Grewal, "Classical Shadows With Noise", Quantum 6, 776 (2022).

[730] Leela Ganesh Chandra Lakkaraju, Srijon Ghosh, Debasis Sadhukan, and Aditi Sen De, "Can a finite range Hamiltonian mimic quantum correlation of a long-range Hamiltonian?", arXiv:2206.09199, (2022).

[731] Raoul Heese, Patricia Bickert, and Astrid Elisa Niederle, "Representation of binary classification trees with binary features by quantum circuits", Quantum 6, 676 (2022).

[732] Utkan Güngördü and J. P. Kestner, "Robust quantum gates using smooth pulses and physics-informed neural networks", Physical Review Research 4 2, 023155 (2022).

[733] David Subires, Fernando J. Gómez-Ruiz, Antonia Ruiz-García, Daniel Alonso, and Adolfo del Campo, "Benchmarking quantum annealing dynamics: The spin-vector Langevin model", Physical Review Research 4 2, 023104 (2022).

[734] Paolo Braccia, Leonardo Banchi, and Filippo Caruso, "Quantum Noise Sensing by Generating Fake Noise", Physical Review Applied 17 2, 024002 (2022).

[735] Ruho Kondo, Yuki Sato, Satoshi Koide, Seiji Kajita, and Hideki Takamatsu, "Computationally Efficient Quantum Expectation with Extended Bell Measurements", Quantum 6, 688 (2022).

[736] Shohei Imai, Atsushi Ono, and Sumio Ishihara, "Energy-band echoes: Time-reversed light emission from optically driven quasiparticle wave packets", Physical Review Research 4 4, 043155 (2022).

[737] Guijiao Du, Chengcheng Zhou, and Leong-Chuan Kwek, "Compression and reduction of N ∗1 states by unitary matrices", Quantum Information Processing 21 2, 80 (2022).

[738] Jino Heo and Seong-Gon Choi, "Photonic scheme of quantum phase estimation for quantum algorithms via quantum dots", Quantum Information Processing 21 1, 6 (2022).

[739] Casper Gyurik, Chris Cade, and Vedran Dunjko, "Towards quantum advantage via topological data analysis", Quantum 6, 855 (2022).

[740] Nikolaos Koukoulekidis, Hyukjoon Kwon, Hyejung H. Jee, David Jennings, and M. S. Kim, "Faster Born probability estimation via gate merging and frame optimisation", Quantum 6, 838 (2022).

[741] Fang Gao, Guojian Wu, Mingyu Yang, Wei Cui, and Feng Shuang, "A hybrid algorithm to solve linear systems of equations with limited qubit resources", Quantum Information Processing 21 3, 111 (2022).

[742] Ratul Banerjee, Amit Kumar Pal, and Aditi SenDe, "Hierarchies of localizable entanglement due to spatial distribution of local noise", Physical Review Research 4 2, 023035 (2022).

[743] András Gilyén, Zhao Song, and Ewin Tang, "An improved quantum-inspired algorithm for linear regression", Quantum 6, 754 (2022).

[744] Laura Gentini, Alessandro Cuccoli, and Leonardo Banchi, "Variational Adiabatic Gauge Transformation on Real Quantum Hardware for Effective Low-Energy Hamiltonians and Accurate Diagonalization", Physical Review Applied 18 3, 034025 (2022).

[745] Xiao-Qi Liu, Jing Wang, Ming Li, Shu-Qian Shen, Weiguo Li, and Shao-Ming Fei, "Quantum relaxed row and column iteration methods based on block-encoding", Quantum Information Processing 21 6, 230 (2022).

[746] Enrico Fontana, M. Cerezo, Andrew Arrasmith, Ivan Rungger, and Patrick J. Coles, "Non-trivial symmetries in quantum landscapes and their resilience to quantum noise", Quantum 6, 804 (2022).

[747] Carlile Lavor, Franklin Marquezino, Andrês Oliveira, and Renato Portugal, "A quantum approach to the discretizable molecular distance geometry problem", Quantum Information Processing 21 7, 239 (2022).

[748] Anbang Wang, Jingning Zhang, and Ying Li, "Error-mitigated deep-circuit quantum simulation of open systems: Steady state and relaxation rate problems", Physical Review Research 4 4, 043140 (2022).

[749] Simon Martiel and Timothée Goubault de Brugière, "Architecture aware compilation of quantum circuits via lazy synthesis", Quantum 6, 729 (2022).

[750] Amit Kumar Pal, Philipp Schindler, Alexander Erhard, Ángel Rivas, Miguel-Angel Martin-Delgado, Rainer Blatt, Thomas Monz, and Markus Müller, "Relaxation times do not capture logical qubit dynamics", Quantum 6, 632 (2022).

[751] Arno Bargerbos, Lukas Johannes Splitthoff, Marta Pita-Vidal, Jaap J. Wesdorp, Yu Liu, Peter Krogstrup, Leo P. Kouwenhoven, Christian Kraglund Andersen, and Lukas Grünhaupt, "Mitigation of Quasiparticle Loss in Superconducting Qubits by Phonon Scattering", Physical Review Applied 19 2, 024014 (2023).

[752] Rong-Yang Sun, Tomonori Shirakawa, and Seiji Yunoki, "Parametrized quantum circuit for weight-adjustable quantum loop gas", Physical Review B 107 4, L041109 (2023).

[753] Fabio Caceffo and Vincenzo Alba, "Entanglement negativity in a fermionic chain with dissipative defects: exact results", Journal of Statistical Mechanics: Theory and Experiment 2023 2, 023102 (2023).

[754] Bin Cheng, Xiu-Hao Deng, Xiu Gu, Yu He, Guangchong Hu, Peihao Huang, Jun Li, Ben-Chuan Lin, Dawei Lu, Yao Lu, Chudan Qiu, Hui Wang, Tao Xin, Shi Yu, Man-Hong Yung, Junkai Zeng, Song Zhang, Youpeng Zhong, Xinhua Peng, Franco Nori, and Dapeng Yu, "Noisy intermediate-scale quantum computers", Frontiers of Physics 18 2, 21308 (2023).

[755] Shiro Tamiya and Hayata Yamasaki, "Stochastic gradient line Bayesian optimization for efficient noise-robust optimization of parameterized quantum circuits", npj Quantum Information 8, 90 (2022).

[756] Andreas Elben, Steven T. Flammia, Hsin-Yuan Huang, Richard Kueng, John Preskill, Benoît Vermersch, and Peter Zoller, "The randomized measurement toolbox", Nature Reviews Physics 5 1, 9 (2023).

[757] Fabian Kreppel, Christian Melzer, Janis Wagner, Janine Hilder, Ulrich Poschinger, Ferdinand Schmidt-Kaler, and André Brinkmann, "Quantum Circuit Compiler for a Shuttling-Based Trapped-Ion Quantum Computer", arXiv:2207.01964, (2022).

[758] Xuexin Xu and M. Ansari, "Parasitic-Free Gate: An Error-Protected Cross-Resonance Switch in Weakly Tunable Architectures", Physical Review Applied 19 2, 024057 (2023).

[759] Tobias Haug, Chris N. Self, and M. S. Kim, "Quantum machine learning of large datasets using randomized measurements", Machine Learning: Science and Technology 4 1, 015005 (2023).

[760] Hongting Song, Areeya Chantasri, Behnam Tonekaboni, and Howard M. Wiseman, "Optimized mitigation of random-telegraph-noise dephasing by spectator-qubit sensing and control", Physical Review A 107 3, L030601 (2023).

[761] Alvin Gonzales, Ruslan Shaydulin, Zain H. Saleem, and Martin Suchara, "Quantum error mitigation by Pauli check sandwiching", Scientific Reports 13, 2122 (2023).

[762] Qiushi Liu, Zihao Hu, Haidong Yuan, and Yuxiang Yang, "Optimal Strategies of Quantum Metrology with a Strict Hierarchy", Physical Review Letters 130 7, 070803 (2023).

[763] Alexey Melnikov, Mohammad Kordzanganeh, Alexander Alodjants, and Ray-Kuang Lee, "Quantum machine learning: from physics to software engineering", Advances in Physics X 8 1, 2165452 (2023).

[764] Alireza Seif, Ze-Pei Cian, Sisi Zhou, Senrui Chen, and Liang Jiang, "Shadow Distillation: Quantum Error Mitigation with Classical Shadows for Near-Term Quantum Processors", PRX Quantum 4 1, 010303 (2023).

[765] I. Joseph, Y. Shi, M. D. Porter, A. R. Castelli, V. I. Geyko, F. R. Graziani, S. B. Libby, and J. L. DuBois, "Quantum computing for fusion energy science applications", Physics of Plasmas 30 1, 010501 (2023).

[766] Hiroki Sukeno and Takuya Okuda, "Measurement-based quantum simulation of Abelian lattice gauge theories", arXiv:2210.10908, (2022).

[767] Giacomo De Palma, Milad Marvian, Cambyse Rouzé, and Daniel Stilck França, "Limitations of Variational Quantum Algorithms: A Quantum Optimal Transport Approach", PRX Quantum 4 1, 010309 (2023).

[768] Tobias Haug and M. S. Kim, "Scalable Measures of Magic Resource for Quantum Computers", PRX Quantum 4 1, 010301 (2023).

[769] Andy C. Y. Li, Alexandru Macridin, Stephen Mrenna, and Panagiotis Spentzouris, "Simulating scalar field theories on quantum computers with limited resources", Physical Review A 107 3, 032603 (2023).

[770] Jonas Richter, Oliver Lunt, and Arijeet Pal, "Transport and entanglement growth in long-range random Clifford circuits", Physical Review Research 5 1, L012031 (2023).

[771] Stefan H. Sack, Raimel A. Medina, Richard Kueng, and Maksym Serbyn, "Transition states and greedy exploration of the QAOA optimization landscape", arXiv:2209.01159, (2022).

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[853] Yifan Zhou, Peng Zhang, and Fei Feng, "Noisy-Intermediate-Scale Quantum Electromagnetic Transients Program", IEEE Transactions on Power Systems 38 2, 1558 (2023).

[854] Xi-Dan Hu, Tong Luo, and Dan-Bo Zhang, "Quantum algorithm for evaluating operator size with Bell measurements", Physical Review A 107 2, 022407 (2023).

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[858] Aleksey N. Bolgar, Shtefan V. Sanduleanu, Aleksandr Strelnikov, and Oleg V. Astafiev, "High Quality Quasinormal Modes of Phononic Crystals for Quantum Acoustodynamics", Journal of Low Temperature Physics 210 5-6, 573 (2023).

[859] Jin-Min Liang, Qiao-Qiao Lv, Zhi-Xi Wang, and Shao-Ming Fei, "Unified multivariate trace estimation and quantum error mitigation", Physical Review A 107 1, 012606 (2023).

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[861] Xingrui Song and Kater Murch, "Parity-time symmetric holographic principle", arXiv:2210.01128, (2022).

[862] Ning Yang and Jing Guo, "A Quantum-Computing-Based Method for Solving Quantum Confinement Problem in Semiconductor", IEEE Transactions on Electron Devices 70 3, 1366 (2023).

[863] Rajni Bala, Sooryansh Asthana, and V. Ravishankar, "Combating errors in quantum communication: an integrated approach", Scientific Reports 13, 2979 (2023).

[864] Greg Bowen and Simon Devitt, "Q2Graph: a modelling tool for measurement-based quantum computing", arXiv:2210.00657, (2022).

[865] Yeonghun Lee, "Symmetric Trotterization in digital quantum simulation of quantum spin dynamics", Journal of Korean Physical Society 82 5, 479 (2023).

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[868] Ali Shaib, Mohamad Hussein Naim, Mohammed E. Fouda, Rouwaida Kanj, and Fadi Kurdahi, "Efficient noise mitigation technique for quantum computing", Scientific Reports 13, 3912 (2023).

[869] Sheikh Parvez Mandal, Ahana Ghoshal, Chirag Srivastava, and Ujjwal Sen, "Invariance of success probability in Grover's quantum search under local noise with memory", Physical Review A 107 2, 022427 (2023).

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[871] Manpreet Singh Jattana, Fengping Jin, Hans De Raedt, and Kristel Michielsen, "Improved Variational Quantum Eigensolver Via Quasidynamical Evolution", Physical Review Applied 19 2, 024047 (2023).

[872] Mostafa Motamedifar, Fatemeh Sadeghi, and Mojtaba Golshani, "Entanglement transmission due to the Dzyaloshinskii-Moriya interaction", Scientific Reports 13, 2932 (2023).

[873] Marko J. Rančić, "Noisy intermediate-scale quantum computing algorithm for solving an n -vertex MaxCut problem with log(n ) qubits", Physical Review Research 5 1, L012021 (2023).

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[877] Yanan Li, Zhimin Wang, Rongbing Han, Shangshang Shi, Jiaxin Li, Ruimin Shang, Haiyong Zheng, Guoqiang Zhong, and Yongjian Gu, "Quantum Recurrent Neural Networks for Sequential Learning", arXiv:2302.03244, (2023).

[878] Refik Mansuroglu, Timo Eckstein, Ludwig Nützel, Samuel A. Wilkinson, and Michael J. Hartmann, "Variational Hamiltonian simulation for translational invariant systems via classical pre-processing", Quantum Science and Technology 8 2, 025006 (2023).

[879] Yuchen Guo and Shuo Yang, "Noise effects on purity and quantum entanglement in terms of physical implementability", npj Quantum Information 9, 11 (2023).

[880] David Jaz Myers, Hisham Sati, and Urs Schreiber, "Topological Quantum Gates in Homotopy Type Theory", arXiv:2303.02382, (2023).

[881] Tzu-Ching Yen, Aadithya Ganeshram, and Artur F. Izmaylov, "Deterministic improvements of quantum measurements with grouping of compatible operators, non-local transformations, and covariance estimates", npj Quantum Information 9, 14 (2023).

[882] Hiroshi Ohno, "Quantum Bayesian inference for parameter estimation using quantum generative model", Quantum Information Processing 22 1, 52 (2023).

[883] Kevin J. Sung, Marko J. Rančić, Olivia T. Lanes, and Nicholas T. Bronn, "Simulating Majorana zero modes on a noisy quantum processor", Quantum Science and Technology 8 2, 025010 (2023).

[884] George Watkins, Hoang Minh Nguyen, Varun Seshadri, Keelan Watkins, Steven Pearce, Hoi-Kwan Lau, and Alexandru Paler, "A High Performance Compiler for Very Large Scale Surface Code Computations", arXiv:2302.02459, (2023).

[885] P. V. Sriluckshmy, Vicente Pina-Canelles, Mario Ponce, Manuel G. Algaba, Fedor Šimkovic, and Martin Leib, "Optimal, hardware native decomposition of parameterized multi-qubit Pauli gates", arXiv:2303.04498, (2023).

[886] Niels Gleinig, Tobias Rohner, and Torsten Hoefler, "Approximate Reversible Circuits for NISQ-Era Quantum Computers", arXiv:2302.01066, (2023).

[887] Thomas Ayral, Pauline Besserve, Denis Lacroix, and Edgar Andres Ruiz Guzman, "Quantum computing with and for many-body physics", arXiv:2303.04850, (2023).

[888] Tahereh Abad, Anton Frisk Kockum, and Göran Johansson, "Impact of decoherence on the fidelity of quantum gates leaving the computational subspace", arXiv:2302.13885, (2023).

[889] James Mills, Debasis Sadhukhan, and Elham Kashefi, "Simplifying errors by symmetry and randomisation", arXiv:2303.02712, (2023).

[890] Carla Rodríguez, Dario Rosa, and Jan Olle, "AI-discovery of a new charging protocol in a micromaser quantum battery", arXiv:2301.09408, (2023).

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[892] Harper R. Grimsley, George S. Barron, Edwin Barnes, Sophia E. Economou, and Nicholas J. Mayhall, "Adaptive, problem-tailored variational quantum eigensolver mitigates rough parameter landscapes and barren plateaus", npj Quantum Information 9, 19 (2023).

[893] Robert de Keijzer, Oliver Tse, and Servaas Kokkelmans, "Pulse based Variational Quantum Optimal Control for hybrid quantum computing", Quantum 7, 908 (2023).

[894] Chufan Lyu, Xusheng Xu, Man-Hong Yung, and Abolfazl Bayat, "Symmetry enhanced variational quantum spin eigensolver", Quantum 7, 899 (2023).

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[896] Kaifeng Bu, Dax Enshan Koh, Lu Li, Qingxian Luo, and Yaobo Zhang, "Effects of quantum resources and noise on the statistical complexity of quantum circuits", Quantum Science and Technology 8 2, 025013 (2023).

[897] Carlos A. Riofrío, Oliver Mitevski, Caitlin Jones, Florian Krellner, Aleksandar Vučković, Joseph Doetsch, Johannes Klepsch, Thomas Ehmer, and Andre Luckow, "A performance characterization of quantum generative models", arXiv:2301.09363, (2023).

[898] Kazuki Ikeda, "Quantum extensive-form games", Quantum Information Processing 22 1, 66 (2023).

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[900] Kübra Yeter-Aydeniz, Zachary Parks, Aadithya Nair Thekkiniyedath, Erik Gustafson, Alexander F. Kemper, Raphael C. Pooser, Yannick Meurice, and Patrick Dreher, "Measuring qubit stability in a gate-based NISQ hardware processor", Quantum Information Processing 22 2, 96 (2023).

[901] Fernando A. Calderon-Vargas, Timothy Proctor, Kenneth Rudinger, and Mohan Sarovar, "Quantum circuit debugging and sensitivity analysis via local inversions", Quantum 7, 921 (2023).

[902] Gilchan Park, Kun Zhang, Kwangmin Yu, and Vladimir Korepin, "Quantum multi-programming for Grover's search", Quantum Information Processing 22 1, 54 (2023).

[903] Raoul Heese, Thore Gerlach, Sascha Mücke, Sabine Müller, Matthias Jakobs, and Nico Piatkowski, "Explaining Quantum Circuits with Shapley Values: Towards Explainable Quantum Machine Learning", arXiv:2301.09138, (2023).

[904] Xi Wu, Qingyi Li, Zhiqiang Li, Donghan Yang, Hui Yang, Wenjie Pan, Marek Perkowski, and Xiaoyu Song, "Circuit optimization of Grover quantum search algorithm", Quantum Information Processing 22 1, 69 (2023).

[905] Pere Mujal, Rodrigo Martínez-Peña, Gian Luca Giorgi, Miguel C. Soriano, and Roberta Zambrini, "Time-series quantum reservoir computing with weak and projective measurements", npj Quantum Information 9, 16 (2023).

[906] Davide Rattacaso, Gianluca Passarelli, and Procolo Lucignano, "High-accuracy Hamiltonian learning via delocalized quantum state evolutions", Quantum 7, 905 (2023).

[907] Victoria J. Wright and Ravi Kunjwal, "Contextuality in composite systems: the role of entanglement in the Kochen-Specker theorem", Quantum 7, 900 (2023).

[908] Seonghoon Choi, Ignacio Loaiza, and Artur F. Izmaylov, "Fluid fermionic fragments for optimizing quantum measurements of electronic Hamiltonians in the variational quantum eigensolver", Quantum 7, 889 (2023).

[909] Jun Qi, Chao-Han Huck Yang, Pin-Yu Chen, and Min-Hsiu Hsieh, "Theoretical error performance analysis for variational quantum circuit based functional regression", npj Quantum Information 9, 4 (2023).

[910] Alexander Gresch and Martin Kliesch, "Guaranteed efficient energy estimation of quantum many-body Hamiltonians using ShadowGrouping", arXiv:2301.03385, (2023).

[911] Caroline E. P. Robin and Martin J. Savage, "Quantum Simulations in Effective Model Spaces (I): Hamiltonian Learning-VQE using Digital Quantum Computers and Application to the Lipkin-Meshkov-Glick Model", arXiv:2301.05976, (2023).

[912] Casper Gyurik, van Vreumingen, and Vedran Dunjko, "Structural risk minimization for quantum linear classifiers", Quantum 7, 893 (2023).

[913] Bujiao Wu, Jinzhao Sun, Qi Huang, and Xiao Yuan, "Overlapped grouping measurement: A unified framework for measuring quantum states", Quantum 7, 896 (2023).

[914] Siyuan Niu and Aida Todri-Sanial, "Enabling Multi-programming Mechanism for Quantum Computing in the NISQ Era", Quantum 7, 925 (2023).

[915] Mingxia Huo and Ying Li, "Error-resilient Monte Carlo quantum simulation of imaginary time", Quantum 7, 916 (2023).

[916] Siwei Huang, Yan Chang, Yusheng Lin, and Shibin Zhang, "Hybrid quantum-classical convolutional neural networks with privacy quantum computing", Quantum Science and Technology 8 2, 025015 (2023).

[917] Hiroshi Ohno, "A direct error correction method for quantum machine learning", Quantum Information Processing 22 2, 119 (2023).

[918] Justyna P. Zwolak and Jacob M. Taylor, "Colloquium: Advances in automation of quantum dot devices control", Reviews of Modern Physics 95 1, 011006 (2023).

[919] Jin-Min Liang, Qiao-Qiao Lv, Zhi-Xi Wang, and Shao-Ming Fei, "Assisted quantum simulation of open quantum systems", arXiv:2302.13299, (2023).

[920] Zhimin He, Xuefen Zhang, Chuangtao Chen, Zhiming Huang, Yan Zhou, and Haozhen Situ, "A GNN-based predictor for quantum architecture search", Quantum Information Processing 22 2, 128 (2023).

[921] Alexander Geng, Ali Moghiseh, Claudia Redenbach, and Katja Schladitz, "Improved FRQI on superconducting processors and its restrictions in the NISQ era", Quantum Information Processing 22 2, 104 (2023).

[922] Jirawat Tangpanitanon, Supanut Thanasilp, Marc-Antoine Lemonde, Ninnat Dangniam, and Dimitris G. Angelakis, "Signatures of a sampling quantum advantage in driven quantum many-body systems", Quantum Science and Technology 8 2, 025019 (2023).

[923] Joanna Wiśniewska and Marek Sawerwain, "Variational Quantum Eigensolver for Classification in Credit Sales Risk", arXiv:2303.02797, (2023).

[924] Willie Huang, "Analyses of the viability of automating the quantum circuit construction of Grover Oracle for executing wildcard searches on NISQ processors", arXiv:2303.08898, (2023).

[925] Felix Truger, Johanna Barzen, Marvin Bechtold, Martin Beisel, Frank Leymann, Alexander Mandl, and Vladimir Yussupov, "Warm-Starting and Quantum Computing: A Systematic Mapping Study", arXiv:2303.06133, (2023).

[926] Niels M. P. Neumann, Paolo B. U. L. de Heer, and Frank Phillipson, "Quantum reinforcement learning", Quantum Information Processing 22 2, 125 (2023).

[927] Javier Sanchez-Rivero, Daniel Talaván, Jose Garcia-Alonso, Antonio Ruiz-Cortés, and Juan Manuel Murillo, "Automatic Generation of an Efficient Less-Than Oracle for Quantum Amplitude Amplification", arXiv:2303.07120, (2023).

[928] Israel F. Araujo, Daniel K. Park, Teresa B. Ludermir, Wilson R. Oliveira, Francesco Petruccione, and Adenilton J. da Silva, "Configurable sublinear circuits for quantum state preparation", Quantum Information Processing 22 2, 123 (2023).

[929] Anette Messinger, Michael Fellner, and Wolfgang Lechner, "Constant Depth Code Deformations in the Parity Architecture", arXiv:2303.08602, (2023).

The above citations are from SAO/NASA ADS (last updated successfully 2023-03-23 09:10:42). The list may be incomplete as not all publishers provide suitable and complete citation data.

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