Maximal quantum leakage upper-bounds quantum inference accuracy; optimal encodings are pure states, with tight frames and equiangular tight frames optimal when system dimension is small.
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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.
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.
citing papers explorer
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An Information-Theoretic Principle for Optimal Quantum Encoding: Tight Frames and Equiangular Ensembles
Maximal quantum leakage upper-bounds quantum inference accuracy; optimal encodings are pure states, with tight frames and equiangular tight frames optimal when system dimension is small.
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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.