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Conditional mutual information (CMI) has recently attracted significant attention as a key quantity for characterizing quantum correlations in many-body systems.
H. Araki, Gibbs states of a one dimensional quantum lattice
1969
Earlier work this paper cites.
J. M. Hammersley and P. Clifford, Markov fields on finite graphs and lattices
1971
Earlier work this paper cites.
L. Gross, Decay of correlations in classical lattice models at high temperature
1979
Earlier work this paper cites.
R. Kotecký and D. Preiss, Cluster expansion for abstract polymer models
1986
Earlier work this paper cites.
D. Petz, Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
1986
Earlier work this paper cites.
R. Scharf, The Campbell-Baker-Hausdorff expansion for classical and quantum kicked dynamics
1988
Earlier work this paper cites.
Y. M. Park and H. J. Yoo, Uniqueness and clustering properties of Gibbs states for classical and quantum unbounded spin systems
1995
Earlier work this paper cites.
S. Blanes, F. Casas, J. A. Oteo, and J. Ros, Magnus and Fer expansions for matrix differential equations: the convergence problem
1998
Earlier work this paper cites.
G. G. Amosov, A. S. Holevo, and R. F. Werner, On Some Additivity Problems in Quantum Information Theory
2000
Earlier work this paper cites.
D. Ueltschi, Cluster expansions and correlation functions
2004
Earlier work this paper cites.
K. Netočný and F. Redig, Large Deviations for Quantum Spin Systems
2004
Earlier work this paper cites.
M. B. Hastings, Decay of Correlations in Fermi Systems at Nonzero Temperature
2004
Earlier work this paper cites.
M. Christandl and A. Winter, “Squashed entanglement”: An additive entanglement measure
2004
Earlier work this paper cites.
J. Watrous, Notes on Super-operator Norms Induced by Schatten Norms
2005
Earlier work this paper cites.
M. B. Hastings and X.-G. Wen, Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance
2005
Earlier work this paper cites.
A. Kitaev and J. Preskill, Topological Entanglement Entropy
2006
Earlier work this paper cites.
M. Levin and X.-G. Wen, Detecting Topological Order in a Ground State Wave Function
2006
Earlier work this paper cites.
S. Bravyi, M. B. Hastings, and F. Verstraete, Lieb-Robinson Bounds and the Generation of Correlations and Topological Quantum Order
2006
Earlier work this paper cites.
M. Hastings and T. Koma, Spectral Gap and Exponential Decay of Correlations
2006
Earlier work this paper cites.
B. Nachtergaele and R. Sims, Lieb-Robinson Bounds and the Exponential Clustering Theorem
2006
Earlier work this paper cites.
M. B. Hastings, Quantum belief propagation: An algorithm for thermal quantum systems
2007
Earlier work this paper cites.
C. Castelnovo and C. Chamon, Topological order in a three-dimensional toric code at finite temperature
2008
Earlier work this paper cites.
P. C. Moan and J. Niesen, Convergence of the Magnus Series
2008
Earlier work this paper cites.
D. Poulin and P. Wocjan, Sampling from the Thermal Quantum Gibbs State and Evaluating Partition Functions with a Quantum Computer
2009
Earlier work this paper cites.
The Magnus expansion and some of its applications
2009
Earlier work this paper cites.
L. Masanes, Area law for the entropy of low-energy states
2009
Cited alongside, same era.
D. Poulin, Lieb-Robinson Bound and Locality for General Markovian Quantum Dynamics
2010
Cited alongside, same era.
M. B. Hastings, Topological Order at Nonzero Temperature
2011
Cited alongside, same era.
W. Brown and D. Poulin, Quantum Markov networks and commuting Hamiltonians
2012
Cited alongside, same era.
I. H. Kim, Perturbative analysis of topological entanglement entropy from conditional independence, Phys. Rev. B 86
2012
Cited alongside, same era.
T. Barthel and M. Kliesch, Quasilocality and Efficient Simulation of Markovian Quantum Dynamics
2012
K. Kato and F. G. S. L. Brandão, Quantum Approximate Markov Chains are Thermal
2019
Later among the works it cites.
A. W. Harrow, S. Mehraban, and M. Soleimanifar, Classical algorithms, correlation decay, and complex zeros of partition functions of Quantum many-body systems
2020
Later among the works it cites.
T. Kuwahara, K. Kato, and F. G. S. L. Brandão, Clustering of Conditional Mutual Information for Quantum Gibbs States above a Threshold Temperature
2020
Later among the works it cites.
A. Bluhm, Á. Capel, and A. Pérez-Hernández, Exponential decay of mutual information for Gibbs states of local Hamiltonians
2022
Later among the works it cites.
T. Kuwahara and K. Saito, Exponential Clustering of Bipartite Quantum Entanglement at Arbitrary Temperatures
2022
Later among the works it cites.
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Cited alongside, same era.
S. Michalakis and J. P. Zwolak, Stability of Frustration-Free Hamiltonians
2013
Cited alongside, same era.
M. J. Kastoryano and K. Temme, Quantum logarithmic Sobolev inequalities and rapid mixing
2013
Cited alongside, same era.
M. Kliesch, C. Gogolin, M. J. Kastoryano, A. Riera, and J. Eisert, Locality of Temperature
2014
Cited alongside, same era.
J. Fröhlich and D. Ueltschi, Some properties of correlations of quantum lattice systems in thermal equilibrium
2015
Cited alongside, same era.
M. Berta, K. P. Seshadreesan, and M. M. Wilde, Rényi generalizations of the conditional quantum mutual information
2015
Cited alongside, same era.
O. Fawzi and R. Renner, Quantum Conditional Mutual Information and Approximate Markov Chains
2015
Cited alongside, same era.
D. Pérez-García and A. Pérez-Hernández, Locality Estimates for Complex Time Evolution in 1D
2023
Later among the works it cites.
D. S. Wild and A. M. Alhambra, Classical Simulation of Short-Time Quantum Dynamics
2023
Later among the works it cites.
2023
Later among the works it cites.
J. Haah, R. Kothari, and E. Tang, Learning quantum Hamiltonians from high-temperature Gibbs states and real-time evolutions
2024
Later among the works it cites.
R. L. Mann and R. M. Minko, Algorithmic Cluster Expansions for Quantum Problems
2024
Later among the works it cites.
A. Bakshi, A. Liu, A. Moitra, and E. Tang, High-Temperature Gibbs States are Unentangled and Efficiently Preparable
2024
Later among the works it cites.
S.-u. Lee, C. Oh, Y. Wong, S. Chen, and L. Jiang, Universal Spreading of Conditional Mutual Information in Noisy Random Circuits
2024
Later among the works it cites.
Y. Zhang and S. Gopalakrishnan, Nonlocal growth of quantum conditional mutual information under decoherence
2024
Later among the works it cites.
S. Sang, Y. Zou, and T. H. Hsieh, Mixed-State Quantum Phases: Renormalization and Quantum Error Correction
2024
Later among the works it cites.
2024
Later among the works it cites.
T. Kuwahara, T. V. Vu, and K. Saito, Effective light cone and digital quantum simulation of interacting bosons
2024
Later among the works it cites.
2024
Later among the works it cites.
2024
Later among the works it cites.
Y. Kimura and T. Kuwahara, Clustering Theorem in 1D Long-Range Interacting Systems at Arbitrary Temperatures
2025
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S. Sang and T. H. Hsieh, Stability of Mixed-State Quantum Phases via Finite Markov Length
2025
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T. Kuwahara, K. Kato, and F. G. S. L. Brandão, Erratum: Clustering of Conditional Mutual Information for Quantum Gibbs States above a Threshold Temperature [Phys. Rev. Lett. 124, 220601 (2020)]
2025
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2025
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