Local extrema of entropy functions under tensor products

Details Local extrema of entropy functions under tensor products Local extrema of entropy functions under tensor products

2011-05-26

arxiv.org/abs/1105.5380v1

Physics

Mathematical Physics

9 pages, comments are welcome

Scientific paper

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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