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The Minimum Entropy Output of a Quantum Channel Is Locally Additive

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2 Author(s)
Gour, G. ; Dept. of Math. & Stat., Univ. of Calgary, Calgary, AB, Canada ; Friedland, S.

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

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Information Theory, IEEE Transactions on  (Volume:59 ,  Issue: 1 )