Constructive counterexamples to additivity of minimum output Rényi entropy of quantum channels for all p>2

Physics – Quantum Physics

Scientific paper

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4 pages; a reference added

Scientific paper

10.1088/1751-8113/43/42/425304

We present a constructive example of violation of additivity of minimum
output R\'enyi entropy for each p>2. The example is provided by antisymmetric
subspace of a suitable dimension. We discuss possibility of extension of the
result to go beyond p>2 and obtain additivity for p=0 for a class of
entanglement breaking channels.

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