The minimum entropy output of a quantum channel is locally additive
classification
🪐 quant-ph
math-phmath.MP
keywords
entropyminimumoutputquantumadditivechannellocallyadditivity
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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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