Monotonicity of optimized quantum $f$-divergence
Quantum Physics
2023-12-14 v3 Mathematical Physics
Functional Analysis
math.MP
Abstract
Optimized quantum -divergence was first introduced by Wilde in \cite{Wil18}. Wilde raised the question of whether the monotonicity of optimized quantum -divergence can be generalized to maps that are not quantum channels. We answer this question by generalizing the monotonicity of optimized quantum -divergences to positive trace preserving maps satisfying a Schwarz inequality.
Cite
@article{arxiv.2104.12890,
title = {Monotonicity of optimized quantum $f$-divergence},
author = {Haojian Li},
journal= {arXiv preprint arXiv:2104.12890},
year = {2023}
}