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

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.

4 pages; a reference added

References in corpus (2)

• On Hastings' counterexamples to the minimum output entropy additivity conjecture
• Counterexamples to additivity of minimum output p-Renyi entropy for p close to 0

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