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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Pauli propagation with tailored truncation enables efficient classical simulation of expectation values for most quantum circuits under any local noise, with high probability and logarithmic effective depth.
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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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Simulating quantum circuits with arbitrary local noise using Pauli Propagation
Pauli propagation with tailored truncation enables efficient classical simulation of expectation values for most quantum circuits under any local noise, with high probability and logarithmic effective depth.