Lossless information transfer along the causal lightcone in brickwork quantum circuits is enabled by peripheral eigenvalues of the M-qudit channel Φ_M, with examples for arbitrary N even in nonintegrable thermalising dynamics.
Mori, Liouvillian-gap analysis of open quantum many- body systems in the weak dissipation limit, Phys
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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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Information transfer along the causal lightcone of a brickwork quantum circuit
Lossless information transfer along the causal lightcone in brickwork quantum circuits is enabled by peripheral eigenvalues of the M-qudit channel Φ_M, with examples for arbitrary N even in nonintegrable thermalising dynamics.
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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.