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Monotonicity of a relative R\'enyi entropy

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arxiv 1306.5358 v3 pith:63FVDDL2 submitted 2013-06-22 math-ph cs.ITmath.FAmath.ITmath.MPquant-ph

Monotonicity of a relative R\'enyi entropy

classification math-ph cs.ITmath.FAmath.ITmath.MPquant-ph
keywords entropyenyirecentrelativecompletelyconjecturedefinitionmaps
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that a recent definition of relative R\'enyi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of M\"uller-Lennert et al.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Finite-size quantum key distribution rates from R\'enyi entropies using conic optimization

    quant-ph 2025-11 unverdicted novelty 7.0

    A general conic optimization solver computes finite-size QKD rates from Rényi entropies more reliably than prior Frank-Wolfe methods.

  2. R\'enyi divergences and binary state discrimination error exponents for fermionic quasi-free states

    quant-ph 2026-05 unverdicted novelty 6.0

    Explicit formulas are given for regularized Rényi divergences of several kinds between fermionic quasifree states, with all types coinciding in the single-mode case and remaining distinct for multiple modes per site.