Log-majorization related to Rényi divergences
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DOI: 10.1016/j.laa.2018.11.004
Abstract: Abstract For α , z > 0 with α ≠ 1 , motivated by comparison between different kinds of Renyi divergences in quantum information, we consider log-majorization between the matrix functions P α ( A… read more here.
Keywords: majorization related; related nyi; majorization; log majorization ... See more keywords
Relations between dissipated work and Rényi divergences in the generalized Gibbs ensemble
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DOI: 10.1103/physreva.97.042132
Abstract: In this work, we show that the dissipation in a many-body system under an arbitrary non-equilibrium process is related to the R\'{e}nyi divergences between two states along the forward and reversed dynamics under very general… read more here.
Keywords: work; gibbs ensemble; nyi divergences; dissipated work ... See more keywords
Quantum work statistics and resource theories: Bridging the gap through Rényi divergences.
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DOI: 10.1103/physreve.99.050101
Abstract: The work performed on or extracted from a nonautonomous quantum system described by means of a two-point projective-measurement approach is a stochastic variable. We show that the cumulant generating function of work can be recast… read more here.
Keywords: quantum work; work statistics; nyi divergences; work ... See more keywords