Rapid mixing and frustration-freeness in short- and long-range Lindbladians imply polynomial decay of MI and CMI in fixed points, and long-range non-commuting Gibbs states satisfy local Markov property at any temperature.
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Gauging the spacetime code produces a lattice gauge theory inheriting circuit fault tolerance, with applications to foliated MBQC, classical memory in mixed topological states, and learnable Pauli noise degrees of freedom.
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Static features from mixing in short- and long-range Lindbladians: Markov property and correlations
Rapid mixing and frustration-freeness in short- and long-range Lindbladians imply polynomial decay of MI and CMI in fixed points, and long-range non-commuting Gibbs states satisfy local Markov property at any temperature.
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Gauging the Spacetime Code
Gauging the spacetime code produces a lattice gauge theory inheriting circuit fault tolerance, with applications to foliated MBQC, classical memory in mixed topological states, and learnable Pauli noise degrees of freedom.