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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Explicit exponential convergence bounds are derived for the classical and quantum capacities of GNS-symmetric quantum channels in terms of entropic properties.
Quantum Markov semigroups on d-dimensional systems have infinite-time capacities determined by peripheral space structure, with convergence after time t ≳ d² ln(d), and explicit bounds showing n-qubit memories fail after t ≳ n 2^{2n} (global correction) or t ≳ ln(n) (local).
citing papers explorer
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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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Fast convergence of Dynamic Capacities of GNS-Symmetric Quantum Channels
Explicit exponential convergence bounds are derived for the classical and quantum capacities of GNS-symmetric quantum channels in terms of entropic properties.
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Information storage and transmission under Markovian noise
Quantum Markov semigroups on d-dimensional systems have infinite-time capacities determined by peripheral space structure, with convergence after time t ≳ d² ln(d), and explicit bounds showing n-qubit memories fail after t ≳ n 2^{2n} (global correction) or t ≳ ln(n) (local).