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arXiv · 0911.2515

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

Andrzej Grudka·Michał Horodecki·Łukasz Pankowski
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Abstract

We present a constructive example of violation of additivity of minimum output Rényi 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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Andrzej Grudka, Michał Horodecki, Łukasz Pankowski. 2010-08-06. Constructive counterexamples to additivity of minimum output Rényi entropy of quantum channels for all p>2. https://doi.org/10.1088/1751-8113%2F43%2F42%2F425304

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