Local extrema of entropy functions under tensor products

Published 26 May 2011 in math-ph, math.MP, and quant-ph | (1105.5380v1)

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.

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