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We prove that any one-dimensional (1D) quantum state with small quantum conditional mutual information in all certain tripartite splits of the system, which we call a quantum approximate Markov chain, can be well-approximated by a Gibbs state of a short-range quantum Hamiltonian.
Information theory and statistical mechanics
Jaynes, E. T.: · 1957
Earlier work this paper cites.
Information theory and statistical mechanics. ii
Jaynes, E. T.: · 1957
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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