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Quantum computing algorithms for many-body physics, chemistry and materials science typically require the preparation of thermal or ground states for a given Hamiltonian.
On the computational complexity of ising spin glass models
Francisco Barahona · 1982
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Quantum computation by adiabatic evolution
Edward Farhi, Jeffrey Goldstone, Sam Gutmann, and Michael Sipser · 2000
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Classical and quantum computation
Alexei Yu Kitaev, Alexander Shen, and Mikhail N Vyalyi · 2002
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Preparing ground states of quantum many-body systems on a quantum computer
David Poulin and Pawel Wocjan · 2009
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Quantum computation and quantum-state engineering driven by dissipation
Frank Verstraete, Michael M. Wolf, and I. Cirac · 2009
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Computational transition at the uniqueness threshold
Allan Sly · 2010
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Quantum Metropolis sampling
K. Temme, T. J. Osborne, K. G. Vollbrecht, D. Poulin, and F. Verstraete · 2011
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Quantum channels & operations: Guided tour, 2012
Michael M. Wolf · 2012
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Hypercontractivity of quasi-free quantum semigroups
Kristan Temme, Fernando Pastawski, and Michael J Kastoryano · 2014
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How fast do stabilizer hamiltonians thermalize?
Kristan Temme and Michael J Kastoryano · 2015
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Efficient quantum algorithms for simulating Lindblad evolution
Richard Cleve and Chunhao Wang · 2017
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Adiabatic quantum computation
Tameem Albash and Daniel A. Lidar · 2018
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Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2019
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Near-optimal ground state preparation
Lin Lin and Yu Tong · 2020
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Determining eigenstates and thermal states on a quantum computer using quantum imaginary time evolution
Mario Motta, Chong Sun, Adrian T. K. Tan, Matthew J. O’Rourke, Erika Ye, Austin J. Minnich, Fernando G. S. L. Brandão, and Garnet Kin-Lic Chan · 2020
Cited alongside, same era.
Improved thermal area law and quasilinear time algorithm for quantum gibbs states
Tomotaka Kuwahara, Álvaro M. Alhambra, and Anurag Anshu · 2021
Cited alongside, same era.
The variational quantum eigensolver: A review of methods and best practices
Jules Tilly, Hongxiang Chen, Shuxiang Cao, Dario Picozzi, Kanav Setia, Ying Li, Edward Grant, Leonard Wossnig, Ivan Rungger, George H. Booth, and Jonathan Tennyson · 2022
Cited alongside, same era.
Dissipative ground state preparation and the dissipative quantum eigensolver
Toby S. Cubitt · 2023
Cited alongside, same era.
Thermal state preparation via rounding promises
Patrick Rall, Chunhao Wang, and Pawel Wocjan · 2023
Cited alongside, same era.
Criteria for davies irreducibility of markovian quantum dynamics
Yikang Zhang and Thomas Barthel · 2024
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Efficient quantum Gibbs samplers with Kubo–Martin–Schwinger detailed balance condition
Zhiyan Ding, Bowen Li, and Lin Lin · 2025
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Rapid quantum ground state preparation via dissipative dynamics
Yongtao Zhan, Zhiyan Ding, Jakob Huhn, Johnnie Gray, John Preskill, Garnet Kin-Lic Chan, and Lin Lin · 2025
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Quantum dissipative search via Lindbladians
Peter J Eder, Jernej Rudi Finžgar, Sarah Braun, and Christian B Mendl · 2025
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Quasiparticle cooling algorithms for quantum many-body state preparation
Jerome Lloyd, Alexios A. Michailidis, Xiao Mi, Vadim Smelyanskiy, and Dmitry A. Abanin · 2025
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Rapid thermalization of spin chain commuting Hamiltonians
Ivan Bardet, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, and Cambyse Rouzé · 2023
Cited alongside, same era.
Simulating Markovian open quantum systems using higher-order series expansion
Xiantao Li and Chunhao Wang · 2023
Cited alongside, same era.
Dissipative ground state preparation in ab initio electronic structure theory
Hao-En Li, Yongtao Zhan, and Lin Lin · 2024
Cited alongside, same era.
Quantum generalizations of Glauber and Metropolis dynamics
András Gilyén, Chi-Fang Chen, Joao F. Doriguello, and Michael J. Kastoryano · 2024
Cited alongside, same era.
Quantum Metropolis sampling via weak measurement
Jiaqing Jiang and Sandy Irani · 2024
Cited alongside, same era.
Ground state preparation via dynamical cooling
Danial Motlagh, Modjtaba Shokrian Zini, Juan Miguel Arrazola, and Nathan Wiebe · 2024
Cited alongside, same era.
Rapid thermalization of dissipative many-body dynamics of commuting Hamiltonians
Jan Kochanowski, Alvaro M Alhambra, Angela Capel, and Cambyse Rouzé · 2024
Cited alongside, same era.
Cambyse Rouzé, Daniel Stilck França, and Álvaro M. Alhambra · 2025
Closest in time.
Fast mixing of weakly interacting fermionic systems at any temperature
Yu Tong and Yongtao Zhan · 2025
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Polynomial time quantum Gibbs sampling for Fermi-Hubbard model at any temperature
Štěpán Šmíd, Richard Meister, Mario Berta, and Roberto Bondesan · 2025
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Quantum algorithms for cooling: a simple case study
Daniel Molpeceres, Sirui Lu, J. Ignacio Cirac, and Barbara Kraus · 2025
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Universal cooling of quantum systems via randomized measurements
Josias Langbehn, George Mouloudakis, Emma King, Raphaël Menu, Igor Gornyi, Giovanna Morigi, Yuval Gefen, and Christiane P. Koch · 2025
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Quantum thermal state preparation for near-term quantum processors
Jerome Lloyd and Dmitry A. Abanin · 2025
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Thermalization in open many-body systems and KMS detailed balance
Matteo Scandi and Álvaro M. Alhambra · 2025
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Polynomial-time thermalization and gibbs sampling from system-bath couplings
Samuel Slezak, Matteo Scandi, Álvaro M. Alhambra, Daniel Stilck França, and Cambyse Rouzé · 2026
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Beyond lindblad dynamics: Rigorous guarantees for thermal and ground state preservation under system bath interactions
Ke Wang and Zhiyan Ding · 2026
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