The minimum entropy output of a quantum channel is locally additive

2011/05/31 by Gilad Gour, Shmuel Friedland · 1 citation
Physics and Astronomy · Mathematics · #quant-ph #math-ph #math.MP

paper · pdf · doi:10.1109/tit.2012.2210859

published as IEEE Transactions on Information Theory (2012) · Shorter Version, further simplifications of proofs

arxiv created 2011/12/14 · arxiv updated 2012/10/03

Abstract

We show that the minimum von-Neumann entropy output of a quantum channel is locally additive. Hasting's counterexample for the additivity conjecture, makes this result quite surprising. In particular, it indicates that the non-additivity of the minimum entropy output is a global effect of quantum channels.

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