Fetching the paper…
Reading the bibliography…
Quantum systems typically reach thermal equilibrium rather quickly when coupled to a thermal environment.
Gibbs states of a one dimensional quantum lattice
H. Araki · 1969
Earlier work this paper cites.
Conditional expectations in von Neumann algebras
M. Takesaki · 1972
Earlier work this paper cites.
Quantum theory of open systems
E. B. Davies · 1976
Earlier work this paper cites.
Approach to equilibrium for completely positive dynamical semigroups of n-level systems
H. Spohn · 1976
Earlier work this paper cites.
Quantum dynamical semigroups and approach to equilibrium
A. Frigerio · 1977
Earlier work this paper cites.
Generators of dynamical semigroups
E. Davies · 1979
Earlier work this paper cites.
E. B. Davies, One-Parameter Semigroups (Academic Press, London, 1980), viii 230 pp
R. J. Archbold · 1983
Earlier work this paper cites.
Quasi-entropies for finite quantum systems
D. Petz · 1986
Earlier work this paper cites.
On certain properties of the relative entropy of states of operator algebras
D. Petz · 1991
Earlier work this paper cites.
Matrix Analysis
R. Bhatia · 1997
Earlier work this paper cites.
Lectures on Glauber Dynamics for Discrete Spin Models
F. Martinelli · 1999
Earlier work this paper cites.
Hypercontractivity in noncommutative Lp spaces
R. Olkiewicz and B. Zegarlinski · 1999
Earlier work this paper cites.
Chapter 34 - Non-commutative Lp-spaces
G. Pisier and Q. Xu · 2003
Earlier work this paper cites.
Glauber dynamics on trees: Boundary conditions and mixing time
F. Martinelli, A. Sinclair, and D. Weitz · 2004
Earlier work this paper cites.
Commutative version of the local hamiltonian problem and common eigenspace problem
S. Bravyi and M. Vyalyi · 2005
Earlier work this paper cites.
Quantum states and phases in driven open quantum systems with cold atoms
S. Diehl, A. Micheli, A. Kantian, B. Kraus, H. P. Büchler, and P. Zoller · 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.
Min- and max-relative entropies and a new entanglement monotone
N. Datta · 2009
Earlier work this paper cites.
Quantum Hamiltonian complexity and the detectability lemma
D. Aharonov, I. Arad, Z. Landau, and U. Vazirani · 2011
Earlier work this paper cites.
The growth constants of lattice trees and lattice animals in high dimensions
Y. M. Miranda and G. Slade · 2011
Earlier work this paper cites.
Quasilocality and efficient simulation of markovian quantum dynamics
T. Barthel and M. Kliesch · 2012
Earlier work this paper cites.
Open Quantum Systems
A. Rivas and S. F. Huelga · 2012
Earlier work this paper cites.
Rapid mixing implies exponential decay of correlations
M. J. Kastoryano and J. Eisert · 2013
Earlier work this paper cites.
Quantum logarithmic Sobolev inequalities and rapid mixing
M. J. Kastoryano and K. Temme · 2013
Earlier work this paper cites.
Locality of temperature
M. Kliesch, C. Gogolin, M. Kastoryano, A. Riera, and J. Eisert · 2014
Earlier work this paper cites.
Stability of local quantum dissipative systems
T. S. Cubitt, A. Lucia, S. Michalakis, and D. Perez-Garcia · 2015
Cited alongside, same era.
Some properties of correlations of quantum lattice systems in thermal equilibrium
J. Fröhlich and D. Ueltschi · 2015
Cited alongside, same era.
Tight bound on relative entropy by entropy difference
D. Reeb and M. M. Wolf · 2015
Cited alongside, same era.
How fast do stabilizer Hamiltonians thermalize?
K. Temme and M. J. Kastoryano · 2015
Cited alongside, same era.
Concentration bounds for quantum states with finite correlation length on quantum spin lattice systems
A. Anshu · 2016
Cited alongside, same era.
Quantum memories at finite temperature
B. J. Brown, D. Loss, J. K. Pachos, C. N. Self, and J. R. Wootton · 2016
Fast thermalization from the eigenstate thermalization hypothesis
C.-F. Chen and F. G. S. L. Brandão · 2021
Later among the works it cites.
The quantum Wasserstein distance of order 1
G. De Palma, M. Marvian, D. Trevisan, and S. Lloyd · 2021
Later among the works it cites.
Geometric approach towards complete logarithmic Sobolev inequalities
L. Gao, M. Junge, and H. Li · 2021
Later among the works it cites.
Exponential decay of mutual information for Gibbs states of local Hamiltonians
A. Bluhm, Á. Capel, and A. Pérez-Hernández · 2022
Later among the works it cites.
Complete logarithmic Sobolev inequalities via Ricci curvature bounded below
M. Brannan, L. Gao, and M. Junge · 2022
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.
Quantum Gibbs samplers: the commuting case
M. J. Kastoryano and F. G. S. L. Brandao · 2016
Cited alongside, same era.
Necessity of an energy barrier for self-correction of Abelian quantum doubles
A. Kómár, O. Landon-Cardinal, and K. Temme · 2016
Cited alongside, same era.
Entropy production of doubly stochastic channels
A. Müller-Hermes, D. S. França, and M. M. Wolf · 2016
Cited alongside, same era.
Relative entropy convergence for depolarizing channels
A. Müller-Hermes, D. S. França, and M. M. Wolf · 2016
Cited alongside, same era.
Estimating the decoherence time using non-commutative functional inequalities
I. Bardet · 2017
Cited alongside, same era.
Superadditivity of quantum relative entropy for general states
Ángela Capel, A. Lucia, and D. Pérez-García · 2018
Cited alongside, same era.
L. Gao, M. Junge, N. LaRacuente, and H. Li · 2022
Later among the works it cites.
Complete entropic inequalities for quantum Markov chains
L. Gao and C. Rouzé · 2022
Later among the works it cites.
Stability of logarithmic Sobolev inequalities under a noncommutative change of measure
M. Junge, N. Laracuente, and C. Rouzé · 2022
Later among the works it cites.
Quantum concentration inequalities
G. D. Palma and C. Rouzé · 2022
Later among the works it cites.
Quantum advantage and stability to errors in analogue quantum simulators
R. Trivedi, A. F. Rubio, and J. I. Cirac · 2022
Later among the works it cites.
Open quantum system dynamics and the mean force Gibbs state
A. S. Trushechkin, M. Merkli, J. D. Cresser, and J. Anders · 2022
Later among the works it cites.
From decay of correlations to locality and stability of the Gibbs state
Á. Capel, M. Moscolari, S. Teufel, and T. Wessel · 2023
Later among the works it cites.
Quantum thermal state preparation
C.-F. Chen, M. J. Kastoryano, F. G. S. L. Brandão, and A. Gilyén · 2023
Later among the works it cites.
An efficient and exact noncommutative quantum Gibbs sampler
C.-F. Chen, M. J. Kastoryano, and A. Gilyén · 2023
Later among the works it cites.
Thermalization in Kitaev’s quantum double models via Tensor Network techniques
A. Lucia, D. Pérez-García, and A. Pérez-Hernández · 2023
Later among the works it cites.
Efficient learning of ground & thermal states within phases of matter
E. Onorati, C. Rouzé, D. S. França, and J. D. Watson · 2023
Later among the works it cites.
Locality estimates for complex time evolution in 1D
D. Pérez-García and A. Pérez-Hernández · 2023
Later among the works it cites.
High-temperature Gibbs states are unentangled and efficiently preparable
A. Bakshi, A. Liu, A. Moitra, and E. Tang · 2024
Closest in time.
Entropy decay for Davies semigroups of a one dimensional quantum lattice
I. Bardet, Á. Capel, L. Gao, A. Lucia, D. Pérez-García, and C. Rouzé · 2024
Closest in time.
Strong decay of correlations for Gibbs states in any dimension
A. Bluhm, Á. Capel, and A. Pérez-Hernández · 2024
Closest in time.
Mixing time of open quantum systems via hypocoercivity
D. Fang, J. Lu, and Y. Tong · 2024
Closest in time.
Accuracy guarantees and quantum advantage in analogue open quantum simulation with and without noise
V. Kashyap, G. Styliaris, S. Mouradian, J. I. Cirac, and R. Trivedi · 2024
Closest in time.
Clustering theorem in 1D long-range interacting systems at arbitrary temperatures
Y. Kimura and T. Kuwahara · 2024
Closest in time.
Efficient thermalization and universal quantum computing with quantum Gibbs samplers
C. Rouzé, D. S. França, and Álvaro M. Alhambra · 2024
Closest in time.