arXiv:1105.5380

Local extrema of entropy functions under tensor products

Shmuel Friedland, Gilad Gour, Aidan Roy

Published May 26, 2011• 0 citations

Abstract

We show that under a certain condition of local commutativity the minimum von-Neumann entropy output of a quantum channel is locally additive. We also show that local minima of the 2-norm entropy functions are closed under tensor products if one of the subspaces has dimension 2.

DOI: 10.48550/arxiv.1105.5380

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