Weak quasi-factorization for the Belavkin-Staszewski relative entropy

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Quasi-factorization-type inequalities for the relative entropy have recently proven to be fundamental in modern proofs of modified logarithmic Sobolev inequalities for quantum spin systems. In this paper, we show some results of weak quasi-factorization for the Belavkin-Staszewski relative entropy, i.e. upper bounds for the BS-entropy between two bipartite states in terms of the sum of two conditional BS-entropies, up to some multiplicative and additive factors.
Original languageEnglish
Title of host publication2021 IEEE International Symposium on Information Theory (ISIT)
PublisherIEEE
Publication date2021
Pages118-123
ISBN (Electronic)978-1-5386-8209-8
Publication statusPublished - 2021
Event2021 IEEE International Symposium on Information Theory - Virtual
Duration: 12 Jul 202120 Jul 2021

Conference

Conference2021 IEEE International Symposium on Information Theory
ByVirtual
Periode12/07/202120/07/2021

Bibliographical note

preprint

ID: 289464599