Rapid mixing and frustration-freeness of short- or long-range Lindbladians imply polynomial (not exponential) decay of CMI and MI of the fixed point; long-range Gibbs states are locally Markovian at any temperature.
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Static features from mixing in short- and long-range Lindbladians: Markov property and correlations
Rapid mixing and frustration-freeness of short- or long-range Lindbladians imply polynomial (not exponential) decay of CMI and MI of the fixed point; long-range Gibbs states are locally Markovian at any temperature.