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Paper Detail

Paper IDD1-S2-T4.1
Paper Title Weak Quasi-Factorization for the Belavkin-Staszewski Relative Entropy
Authors Andreas Bluhm, University of Copenhagen, Denmark; Angela Capel, Technische Universität München, Germany; Antonio Pérez-Hernández, Universidad Nacional de Educación a Distancia, Spain
Session D1-S2-T4: Quantum Shannon Theory
Chaired Session: Monday, 12 July, 22:20 - 22:40
Engagement Session: Monday, 12 July, 22:40 - 23:00
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.