Related papers: Monotonicity of optimized quantum $f$-divergence

Monotonicity of optimized quantum $f$-divergence

URL: http://arxiv.org/abs/2104.12890v3
Date: Wed, 13 Dec 2023 17:28:33 GMT
Title: Monotonicity of optimized quantum $f$-divergence
Authors: Haojian Li
Abstract summary: Wilde raised the question of whether the monotonicity of optimized quantum $f$-divergence can be generalized to maps that are not quantum channels. We answer this question by generalizing the monotonicity of optimized quantum $f$-divergences to positive trace preserving maps satisfying a Schwarz inequality.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Optimized quantum $f$-divergence was first introduced by Wilde in \cite{Wil18}. Wilde raised the question of whether the monotonicity of optimized quantum $f$-divergence can be generalized to maps that are not quantum channels. We answer this question by generalizing the monotonicity of optimized quantum $f$-divergences to positive trace preserving maps satisfying a Schwarz inequality.

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