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Recently, there have been several advancements in quantum algorithms for Gibbs sampling.
Low-depth quantum Metropolis algorithm, 2022
Jonathan E. Moussa · 1903
Earlier work this paper cites.
Low-temperature phase diagrams of quantum lattice systems. I. stability for quantum perturbations of classical systems with finitely-many ground states
Nilanjana Datta, Roberto Fernández, and Jürg Fröhlich · 1996
Earlier work this paper cites.
Low temperature phase diagrams of fermionic lattice systems
C Borgs and R Koteckỳ · 2000
Earlier work this paper cites.
Classical and Quantum Computation
Alexei Yu Kitaev, Alexander Shen, and Mikhail N. Vyalyi · 2002
Earlier work this paper cites.
The one-dimensional Hubbard model
Fabian HL Essler, Holger Frahm, Frank Göhmann, Andreas Klümper, and Vladimir E Korepin · 2005
Earlier work this paper cites.
Stability of the spectral gap for lattice fermions, 2020
Tohru Koma · 2005
Earlier work this paper cites.
Optimal quantum measurements of expectation values of observables
Emanuel Knill, Gerardo Ortiz, and Rolando D. Somma · 2007
Earlier work this paper cites.
Third quantization: a general method to solve master equations for quadratic open Fermi systems
Tomaž Prosen · 2008
Earlier work this paper cites.
The power of quantum systems on a line
Dorit Aharonov, Daniel Gottesman, Sandy Irani, and Julia Kempe · 2009
Earlier work this paper cites.
Computational complexity of interacting electrons and fundamental limitations of density functional theory
Norbert Schuch and Frank Verstraete · 2009
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A short proof of stability of topological order under local perturbations
Sergey Bravyi and Matthew B. Hastings · 2011
Earlier work this paper cites.
Quantum Metropolis sampling
K. Temme, T. J. Osborne, K. G. Vollbrecht, D. Poulin, and F. Verstraete · 2011
Earlier work this paper cites.
Quantum channels & operations: Guided tour
Michael M. Wolf · 2012
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A quantum–quantum Metropolis algorithm
Man-Hong Yung and Alán Aspuru-Guzik · 2012
Earlier work this paper cites.
Stability of frustration-free Hamiltonians
Spyridon Michalakis and Justyna P. Zwolak · 2013
Earlier work this paper cites.
How fast do stabilizer Hamiltonians thermalize?, 2015
Kristan Temme and Michael J. Kastoryano · 2015
Earlier work this paper cites.
Quantum Gibbs samplers: The commuting case
Michael J. Kastoryano and Fernando G. S. L. Brandão · 2016
Earlier work this paper cites.
Tensor networks in a nutshell, 2017
Jacob Biamonte and Ville Bergholm · 2017
Earlier work this paper cites.
Quantum algorithms for Gibbs sampling and hitting-time estimation
Anirban Narayan Chowdhury and Rolando D. Somma · 2017
Earlier work this paper cites.
Quantum simulations with ultracold atoms in optical lattices
Christian Gross and Immanuel Bloch · 2017
Earlier work this paper cites.
Imperial College research computing service, 2017
Matthew Harvey · 2017
Earlier work this paper cites.
The stability of free Fermi Hamiltonians, 2017
M. B. Hastings · 2017
Earlier work this paper cites.
Markov Chains and Mixing Times
David A. Levin and Yuval Peres · 2017
Earlier work this paper cites.
Adiabatic quantum computation
Tameem Albash and Daniel A. Lidar · 2018
Cited alongside, same era.
Persistence of exponential decay and spectral gaps for interacting fermions
Wojciech De Roeck and Manfred Salmhofer · 2018
Cited alongside, same era.
Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems
Bruno Nachtergaele, Robert Sims, and Amanda Young · 2018
Cited alongside, same era.
Finite correlation length implies efficient preparation of quantum thermal states
Fernando G. S. L. Brandão and Michael J. Kastoryano · 2019
Cited alongside, same era.
Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2019
Cited alongside, same era.
Improvements in quantum SDP-Solving with applications
Thermal State Preparation via Rounding Promises
Patrick Rall, Chunhao Wang, and Pawel Wocjan · 2023
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Szegedy walk unitaries for quantum maps
Pawel Wocjan and Kristan Temme · 2023
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Dissipative quantum Gibbs sampling, 2023
Daniel Zhang, Jan Lukas Bosse, and Toby Cubitt · 2023
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Potential applications of quantum computing at Los Alamos National Laboratory, 2024
Andreas Bärtschi, Francesco Caravelli, Carleton Coffrin, Jonhas Colina, Stephan Eidenbenz, Abhijith Jayakumar, Scott Lawrence, Minseong Lee, Andrey Y. Lokhov, Avanish Mishra, Sidhant Misra, Zachary Morrell, Zain Mughal, Duff Neill, Andrei Piryatinski, Allen Scheie, Marc Vuffray, and Yu Zhang · 2024
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Optimizing random local Hamiltonians by dissipation, 2024
Joao Basso, Chi-Fang Chen, and Alexander M. Dalzell · 2024
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Joran van Apeldoorn and András Gilyén · 2019
Cited alongside, same era.
Euclidean operator growth and quantum chaos
Alexander Avdoshkin and Anatoly Dymarsky · 2020
Cited alongside, same era.
Completely positive master equation for arbitrary driving and small level spacing
Evgeny Mozgunov and Daniel Lidar · 2020
Cited alongside, same era.
Universal Lindblad equation for open quantum systems
Frederik Nathan and Mark S. Rudner · 2020
Cited alongside, same era.
Quantum SDP-Solvers: Better upper and lower bounds
Joran van Apeldoorn, András Gilyén, Sander Gribling, and Ronald de Wolf · 2020
Cited alongside, same era.
Quantum algorithm for simulating real time evolution of lattice Hamiltonians
Jeongwan Haah, Matthew B. Hastings, Robin Kothari, and Guang Hao Low · 2021
Cited alongside, same era.
Efficient algorithms for approximating quantum partition functions
Ryan L. Mann and Tyler Helmuth · 2021
Cited alongside, same era.
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Entropy decay for Davies semigroups of a one dimensional quantum lattice
Ivan Bardet, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, and Cambyse Rouzé · 2024
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Quantum computational advantage with constant-temperature Gibbs sampling, 2024
Thiago Bergamaschi, Chi-Fang Chen, and Yunchao Liu · 2024
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High-temperature Gibbs states are unentangled and efficiently preparable, 2024
Ainesh Bakshi, Allen Liu, Ankur Moitra, and Ewin Tang · 2024
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Quantum chemistry, classical heuristics, and quantum advantage, 2024
Garnet Kin-Lic Chan · 2024
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Efficient quantum Gibbs samplers with Kubo–Martin–Schwinger detailed balance condition, 2024
Zhiyan Ding, Bowen Li, and Lin Lin · 2024
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Polynomial-time preparation of low-temperature Gibbs states for 2D toric code, 2024
Zhiyan Ding, Bowen Li, Lin Lin, and Ruizhe Zhang · 2024
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Quantum generalizations of Glauber and Metropolis dynamics, 2024
András Gilyén, Chi-Fang Chen, Joao F. Doriguello, and Michael J. Kastoryano · 2024
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Quantum Metropolis sampling via weak measurement, 2024
Jiaqing Jiang and Sandy Irani · 2024
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Rapid thermalization of dissipative many-body dynamics of commuting Hamiltonians, 2024
Jan Kochanowski, Alvaro M. Alhambra, Angela Capel, and Cambyse Rouzé · 2024
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Fermionic tensor network methods, 2024
Quinten Mortier, Lukas Devos, Lander Burgelman, Bram Vanhecke, Nick Bultinck, Frank Verstraete, Jutho Haegeman, and Laurens Vanderstraeten · 2024
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Efficient thermalization and universal quantum computing with quantum Gibbs samplers, 2024
Cambyse Rouzé, Daniel Stilck França, and Álvaro M. Alhambra · 2024
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Optimal quantum algorithm for Gibbs state preparation, 2024
Cambyse Rouzé, Daniel Stilck França, and Álvaro M. Alhambra · 2024
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Mixing time of quantum Gibbs sampling for random sparse Hamiltonians, 2024
Akshar Ramkumar and Mehdi Soleimanifar · 2024
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Gibbs sampling gives quantum advantage at constant temperatures with O(1)-local Hamiltonians, 2024
Joel Rajakumar and James D. Watson · 2024
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Quantum Gibbs Sampling, December 2024
Štěpán Šmíd, Richard Meister, Mario Berta, and Roberto Bondesan · 2024
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Optimal trace-distance bounds for free-fermionic states: Testing and improved tomography, 2025
Lennart Bittel, Antonio Anna Mele, Jens Eisert, and Lorenzo Leone · 2025
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Accurate simulation of the Hubbard model with finite fermionic projected entangled pair states, 2025
Wen-Yuan Liu, Huanchen Zhai, Ruojing Peng, Zheng-Cheng Gu, and Garnet Kin-Lic Chan · 2025
Closest in time.