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Category: Paper

Paper

Dissipative phase transitions in $n$-photon driven quantum nonlinear resonators

Fabrizio Minganti, Vincenzo Savona, and Alberto Biella,

Quantum 7, 1170 (2023).

We investigate and characterize the emergence of finite-component dissipative phase transitions (DPTs) in nonlinear photon resonators subject to $n$-photon driving and dissipation. Exploiting…

Paper

The quantum switch is uniquely defined by its action on unitary operations

Qingxiuxiong Dong, Marco Túlio Quintino, Akihito Soeda, and Mio Murao,

Quantum 7, 1169 (2023).

The quantum switch is a quantum process that creates a coherent control between different unitary operations, which is often described as a quantum process which transforms a pair of unitary…

Paper

Minimum Trotterization Formulas for a Time-Dependent Hamiltonian

Tatsuhiko N. Ikeda, Asir Abrar, Isaac L. Chuang, and Sho Sugiura,

Quantum 7, 1168 (2023).

When a time propagator $e^{\delta t A}$ for duration $\delta t$ consists of two noncommuting parts $A=X+Y$, Trotterization approximately decomposes the propagator into a product of exponentials of…

Paper

Quantum algorithm for ground state energy estimation using circuit depth with exponentially improved dependence on precision

Guoming Wang, Daniel Stilck França, Ruizhe Zhang, Shuchen Zhu, and Peter D. Johnson,

Quantum 7, 1167 (2023).

A milestone in the field of quantum computing will be solving problems in quantum chemistry and materials faster than state-of-the-art classical methods. The current understanding is that ac…

Paper

Covariant catalysis requires correlations and good quantum reference frames degrade little

Lauritz van Luijk, Reinhard F. Werner, and Henrik Wilming,

Quantum 7, 1166 (2023).

Catalysts are quantum systems that open up dynamical pathways between quantum states which are otherwise inaccessible under a given set of operational restrictions while, at the same time, t…

Paper

On low-depth algorithms for quantum phase estimation

Hongkang Ni, Haoya Li, and Lexing Ying,

Quantum 7, 1165 (2023).

Quantum phase estimation is one of the critical building blocks of quantum computing. For early fault-tolerant quantum devices, it is desirable for a quantum phase estimation algorithm to (1…

Paper

Fault-tolerant quantum computation of molecular observables

Mark Steudtner, Sam Morley-Short, William Pol, Sukin Sim, Cristian L. Cortes, Matthias Loipersberger, Robert M. Parrish, Matthias Degroote, Nikolaj Moll, Raffaele Santagati, and Michael Streif,

Quantum 7, 1164 (2023).

Over the past three decades significant reductions have been made to the cost of estimating ground-state energies of molecular Hamiltonians with quantum computers. However, comparatively lit…

Paper

Robust Extraction of Thermal Observables from State Sampling and Real-Time Dynamics on Quantum Computers

Khaldoon Ghanem, Alexander Schuckert, and Henrik Dreyer,

Quantum 7, 1163 (2023).

Simulating properties of quantum materials is one of the most promising applications of quantum computation, both near- and long-term. While real-time dynamics can be straightforwardly imple…

Paper

Operational meanings of a generalized conditional expectation in quantum metrology

Mankei Tsang,

Quantum 7, 1162 (2023).

A unifying formalism of generalized conditional expectations (GCEs) for quantum mechanics has recently emerged, but its physical implications regarding the retrodiction of a quantum observab…

Paper

Finite-time Landauer principle beyond weak coupling

Alberto Rolandi and Martí Perarnau-Llobet,

Quantum 7, 1161 (2023).

Landauer's principle gives a fundamental limit to the thermodynamic cost of erasing information. Its saturation requires a reversible isothermal process, and hence infinite time. We develop…

Paper

Integrable Quantum Circuits from the Star-Triangle Relation

Yuan Miao and Eric Vernier,

Quantum 7, 1160 (2023).

The star-triangle relation plays an important role in the realm of exactly solvable models, offering exact results for classical two-dimensional statistical mechanical models. In this articl…

Paper

Complete extension: the non-signaling analog of quantum purification

Marek Winczewski, Tamoghna Das, John H. Selby, Karol Horodecki, Paweł Horodecki, Łukasz Pankowski, Marco Piani, and Ravishankar Ramanathan,

Quantum 7, 1159 (2023).

Deriving quantum mechanics from information-theoretic postulates is a recent research direction taken, in part, with the view of finding a beyond-quantum theory; once the postulates are clea…

Paper

Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion

Ziwen Huang, Yunwei Lu, Anna Grassellino, Alexander Romanenko, Jens Koch, and Shaojiang Zhu,

Quantum 7, 1158 (2023).

Accurate modeling of decoherence errors in quantum processors is crucial for analyzing and improving gate fidelities. To increase the accuracy beyond that of the Lindblad dynamical map, seve…

Paper

On tests of the quantum nature of gravitational interactions in presence of non-linear corrections to quantum mechanics

Giovanni Spaventa, Ludovico Lami, and Martin B. Plenio,

Quantum 7, 1157 (2023).

When two particles interact primarily through gravity and follow the laws of quantum mechanics, the generation of entanglement is considered a hallmark of the quantum nature of the gravitati…

Paper

A Pair Measurement Surface Code on Pentagons

Craig Gidney,

Quantum 7, 1156 (2023).

In this paper, I present a way to compile the surface code into two-body parity measurements ("pair measurements"), where the pair measurements run along the edges of a Cairo pentagonal tili…

Paper

Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature

Tyler Helmuth and Ryan L. Mann,

Quantum 7, 1155 (2023).

We establish an efficient approximation algorithm for the partition functions of a class of quantum spin systems at low temperature, which can be viewed as stable quantum perturbations of cl…

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