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Monotonicity of optimized quantum $f$-divergence (2104.12890v3)
Published 26 Apr 2021 in quant-ph, math-ph, math.FA, and math.MP
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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