Fetching the paper…
Reading the bibliography…
We propose a polynomial-time algorithm for preparing the Gibbs state of the two-dimensional toric code Hamiltonian at any temperature, starting from any initial condition, significantly improving upon prior estimates that suggested exponential scaling with inverse temperature.
Quantum stochastic processes ii
EB Davies · 1970
Earlier work this paper cites.
Markovian master equations
E. Brian Davies · 1974
Earlier work this paper cites.
Quantum detailed balance and KMS condition
Andrzej Kossakowski, Alberto Frigerio, Vittorio Gorini, and Maurizio Verri · 1977
Earlier work this paper cites.
On the computational complexity of ising spin glass models
Francisco Barahona · 1982
Earlier work this paper cites.
Polynomial-time approximation algorithms for the ising model
Mark Jerrum and Alistair Sinclair · 1993
Earlier work this paper cites.
Approach to equilibrium of glauber dynamics in the one phase region: I. the attractive case
Fabio Martinelli and Enzo Olivieri · 1994
Earlier work this paper cites.
Surface order large deviations for ising, potts and percolation models
Agoston Pisztora · 1996
Earlier work this paper cites.
Automatic quantum error correction
Jeff P Barnes and Warren S Warren · 2000
Earlier work this paper cites.
Fault-tolerant quantum computation by anyons
A Yu Kitaev · 2003
Earlier work this paper cites.
Efficient feedback controllers for continuous-time quantum error correction
Bradley A Chase, Andrew J Landahl, and JM Geremia · 2008
Earlier work this paper cites.
On thermalization in kitaev’s 2d model
R Alicki, M Fannes, and M Horodecki · 2009
Earlier work this paper cites.
Preparing ground states of quantum many-body systems on a quantum computer
David Poulin and Pawel Wocjan · 2009
Earlier work this paper cites.
Quantum computation and quantum-state engineering driven by dissipation
Frank Verstraete, Michael M. Wolf, and I. Cirac · 2009
Earlier work this paper cites.
On thermal stability of topological qubit in kitaev’s 4d model
R. Alicki, M. Horodecki, P. Horodecki, and R. Horodecki · 2010
Earlier work this paper cites.
Computational transition at the uniqueness threshold
Allan Sly · 2010
Earlier work this paper cites.
The χ 2 \chi^{2} -divergence and mixing times of quantum Markov processes
Kristan Temme, Michael James Kastoryano, Mary Beth Ruskai, Michael Marc Wolf, and Frank Verstraete · 2010
Earlier work this paper cites.
Quantum channels & operations: guided tour. Lecture Notes
Michael M. Wolf · 2012
Earlier work this paper cites.
An introduction to topological quantum codes
Héctor Bombín · 2013
Earlier work this paper cites.
Quantum logarithmic Sobolev inequalities and rapid mixing
Michael J Kastoryano and Kristan Temme · 2013
Earlier work this paper cites.
Hardware-efficient autonomous quantum memory protection
Zaki Leghtas, Gerhard Kirchmair, Brian Vlastakis, Robert J Schoelkopf, Michel H Devoret, and Mazyar Mirrahimi · 2013
Earlier work this paper cites.
Relaxation dynamics of the toric code in contact with a thermal reservoir: Finite-size scaling in a low-temperature regime
C. Daniel Freeman, C. M. Herdman, D. J. Gorman, and K. B. Whaley · 2014
Cited alongside, same era.
How fast do stabilizer hamiltonians thermalize?
Kristan Temme and Michael J. Kastoryano · 2015
Cited alongside, same era.
Quantum memories at finite temperature
Benjamin J. Brown, Daniel Loss, Jiannis K. Pachos, Chris N. Self, and James R. Wootton · 2016
Cited alongside, same era.
Quantum Gibbs samplers: The commuting case
Michael J. Kastoryano and Fernando G.S.L. Brandão · 2016
Cited alongside, same era.
Information percolation and cutoff for the stochastic ising model
Eyal Lubetzky and Allan Sly · 2016
Cited alongside, same era.
Quantum algorithms for Gibbs sampling and hitting-time estimation
Anirban Narayan Chowdhury and Rolando D. Somma · 2017
Reversing lindblad dynamics via continuous petz recovery map
Hyukjoon Kwon, Rick Mukherjee, and MS Kim · 2022
Later among the works it cites.
Quantum algorithm for linear non-unitary dynamics with near-optimal dependence on all parameters
Dong An, Andrew M Childs, and Lin Lin · 2023
Later among the works it cites.
Rapid thermalization of spin chain commuting Hamiltonians
Ivan Bardet, Ángela Capel, Li Gao, Angelo Lucia, David Pérez-García, and Cambyse Rouzé · 2023
Later among the works it cites.
Quantum thermal state preparation
Chi-Fang Chen, Michael J Kastoryano, Fernando GSL Brandão, and András Gilyén · 2023
Later among the works it cites.
An efficient and exact noncommutative quantum gibbs sampler
Chi-Fang Chen, Michael J Kastoryano, and András Gilyén · 2023
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Random cluster dynamics for the ising model is rapidly mixing
Heng Guo and Mark Jerrum · 2017
Cited alongside, same era.
Thermalization time bounds for pauli stabilizer hamiltonians
Kristan Temme · 2017
Cited alongside, same era.
Quantum SDP-solvers: Better upper and lower bounds
Joran Van Apeldoorn, András Gilyén, Sander Gribling, and Ronald de Wolf · 2017
Cited alongside, same era.
The Toric Code at Finite Temperature
Christian Daniel Freeman · 2018
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.
Swendsen-wang algorithm on the mean-field potts model
Andreas Galanis, Daniel Štefankovič, and Eric Vigoda · 2019
Cited alongside, same era.
Thermal state preparation via rounding promises
Patrick Rall, Chunhao Wang, and Pawel Wocjan · 2023
Later among the works it cites.
Szegedy walk unitaries for quantum maps
Pawel Wocjan and Kristan Temme · 2023
Later among the works it cites.
Polynomial-time classical sampling of high-temperature quantum gibbs states
Chao Yin and Andrew Lucas · 2023
Later among the works it cites.
Criteria for Davies irreducibility of Markovian quantum dynamics
Yikang Zhang and Thomas Barthel · 2023
Later among the works it cites.
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
Closest in time.
Quantum computational advantage with constant-temperature gibbs sampling
Thiago Bergamaschi, Chi-Fang Chen, and Yunchao Liu · 2024
Closest in time.
A local automaton for the 2d toric code
Shankar Balasubramanian, Margarita Davydova, and Ethan Lake · 2024
Closest in time.
High-Temperature Gibbs States are Unentangled and Efficiently Preparable
Ainesh Bakshi, Allen Liu, Ankur Moitra, and Ewin Tang · 2024
Closest in time.
Efficient quantum gibbs samplers with Kubo–Martin–Schwinger detailed balance condition
Zhiyan Ding, Bowen Li, and Lin Lin · 2024
Closest in time.
Gibbs state preparation for commuting hamiltonian: Mapping to classical gibbs sampling
Yeongwoo Hwang and Jiaqing Jiang · 2024
Closest in time.
Rapid thermalization of dissipative many-body dynamics of commuting hamiltonians
Jan Kochanowski, Alvaro M. Alhambra, Angela Capel, and Cambyse Rouzé · 2024
Closest in time.
A little bit of self-correction
Michael J. Kastoryano, Lasse B. Kristensen, Chi-Fang Chen, and András Gilyén · 2024
Closest in time.
Candidate for a passively protected quantum memory in two dimensions
Simon Lieu, Yu-Jie Liu, and Alexey V. Gorshkov · 2024
Closest in time.
Efficient thermalization and universal quantum computing with quantum Gibbs samplers
Cambyse Rouzé, Daniel Stilck Franca, and Álvaro M. Alhambra · 2024
Closest in time.
Joel Rajakumar and James D Watson · 2024
Closest in time.