Typical trace-distance relaxation concentrates around a mean in open quantum systems, producing typical mixing times separated from worst-case by rare-state bottlenecks that scale logarithmically, linearly, or exponentially depending on the slow modes.
Rapid mixing for gibbs states within a logical sector: a dynamical view of self-correcting quantum memories
3 Pith papers cite this work. Polarity classification is still indexing.
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Locally stable states are equivalent to short-range correlated states and define phases invariant under locally reversible channels, with decay of nonlinear correlators and links to canonical purifications.
Individual phases in phase-coexisting exponential random graph models satisfy an approximate FKG inequality, enabling central limit theorems within each phase.
citing papers explorer
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Typical Mixing and Rare-State Bottlenecks in Open Quantum Systems
Typical trace-distance relaxation concentrates around a mean in open quantum systems, producing typical mixing times separated from worst-case by rare-state bottlenecks that scale logarithmically, linearly, or exponentially depending on the slow modes.
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A Unified Framework for Locally Stable Phases
Locally stable states are equivalent to short-range correlated states and define phases invariant under locally reversible channels, with decay of nonlinear correlators and links to canonical purifications.
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Approximate FKG inequalities for phase-bound spin systems, with applications to central limit theorems for exponential random graphs
Individual phases in phase-coexisting exponential random graph models satisfy an approximate FKG inequality, enabling central limit theorems within each phase.