Weak quasi-factorization for the Belavkin-Staszewski relative entropy

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Standard

Weak quasi-factorization for the Belavkin-Staszewski relative entropy. / Bluhm, Andreas; Capel, Ángela; Pérez-Hernández, Antonio.

2021 IEEE International Symposium on Information Theory (ISIT). IEEE, 2021. p. 118-123.

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

Harvard

Bluhm, A, Capel, Á & Pérez-Hernández, A 2021, Weak quasi-factorization for the Belavkin-Staszewski relative entropy. in 2021 IEEE International Symposium on Information Theory (ISIT). IEEE, pp. 118-123, 2021 IEEE International Symposium on Information Theory, Virtual, 12/07/2021.

APA

Bluhm, A., Capel, Á., & Pérez-Hernández, A. (2021). Weak quasi-factorization for the Belavkin-Staszewski relative entropy. In 2021 IEEE International Symposium on Information Theory (ISIT) (pp. 118-123). IEEE.

Vancouver

Bluhm A, Capel Á, Pérez-Hernández A. Weak quasi-factorization for the Belavkin-Staszewski relative entropy. In 2021 IEEE International Symposium on Information Theory (ISIT). IEEE. 2021. p. 118-123

Author

Bluhm, Andreas ; Capel, Ángela ; Pérez-Hernández, Antonio. / Weak quasi-factorization for the Belavkin-Staszewski relative entropy. 2021 IEEE International Symposium on Information Theory (ISIT). IEEE, 2021. pp. 118-123

Bibtex

@inproceedings{21e9de318eb641b3b13f32a1fe5bf19e,
title = "Weak quasi-factorization for the Belavkin-Staszewski relative entropy",
abstract = " 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. ",
keywords = "math-ph, math.MP, quant-ph",
author = "Andreas Bluhm and {\'A}ngela Capel and Antonio P{\'e}rez-Hern{\'a}ndez",
note = "preprint; 2021 IEEE International Symposium on Information Theory ; Conference date: 12-07-2021 Through 20-07-2021",
year = "2021",
language = "English",
pages = "118--123",
booktitle = "2021 IEEE International Symposium on Information Theory (ISIT)",
publisher = "IEEE",

}

RIS

TY - GEN

T1 - Weak quasi-factorization for the Belavkin-Staszewski relative entropy

AU - Bluhm, Andreas

AU - Capel, Ángela

AU - Pérez-Hernández, Antonio

N1 - preprint

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - math-ph

KW - math.MP

KW - quant-ph

M3 - Article in proceedings

SP - 118

EP - 123

BT - 2021 IEEE International Symposium on Information Theory (ISIT)

PB - IEEE

T2 - 2021 IEEE International Symposium on Information Theory

Y2 - 12 July 2021 through 20 July 2021

ER -

ID: 289464599