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Preparing quantum thermal states on a quantum computer is in general a difficult task.
Gibbs states of a one dimensional quantum lattice
Huzihiro Araki · 1969
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For 2-D lattice spin systems weak mixing implies strong mixing,
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Area laws in quantum systems: mutual information and correlations
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Stability of frustration-free Hamiltonians
Spyridon Michalakis and Justyna P Zwolak · 2013
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Michael J Kastoryano and Fernando GSL Brandao · 2014
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Generating topological order: no speedup by dissipation
Robert König and Fernando Pastawski · 2014
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Quantum conditional mutual information and approximate markov chains
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Universal recovery from a decrease of quantum relative entropy
Marius Junge, Renato Renner, David Sutter, Mark M Wilde, and Andreas Winter · 2015
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Rapid adiabatic preparation of injective projected entangled pair states and gibbs states
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