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 language | English |
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Title of host publication | 2021 IEEE International Symposium on Information Theory (ISIT) |
Publisher | IEEE |
Publication date | 2021 |
Pages | 118-123 |
ISBN (Electronic) | 978-1-5386-8209-8 |
Publication status | Published - 2021 |
Event | 2021 IEEE International Symposium on Information Theory - Virtual Duration: 12 Jul 2021 → 20 Jul 2021 |
Conference
Conference | 2021 IEEE International Symposium on Information Theory |
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By | Virtual |
Periode | 12/07/2021 → 20/07/2021 |
Bibliographical note
preprint
ID: 289464599