Weyl dynamical maps are fully classified via phase-space subgroups; convex mixing of eternally non-Markovian dephasing maps yields Markovian semigroups, and irreducible eternally non-Markovian examples exist for qutrits.
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A virtual protocol based on universal source compression enables asymptotically tight finite-size security proofs for permutation-symmetrizable QKD by reducing the problem to conditional Rényi entropy estimation.
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Convexity and non-Markovianity of Weyl Maps
Weyl dynamical maps are fully classified via phase-space subgroups; convex mixing of eternally non-Markovian dephasing maps yields Markovian semigroups, and irreducible eternally non-Markovian examples exist for qutrits.
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Asymptotically tight security analysis of quantum key distribution based on universal source compression
A virtual protocol based on universal source compression enables asymptotically tight finite-size security proofs for permutation-symmetrizable QKD by reducing the problem to conditional Rényi entropy estimation.