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arXiv · 1603.00577

Haagerup's inequality and additivity violation of the Minimum Output Entropy

Benoit Collins
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Abstract

We give a simple and conceptual proof of the fact that random unitary channels yield violation of the Minimum Output Entropy additivity. The proof relies on strong convergence of random unitary matrices and Haagerup's inequality.

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Benoit Collins. 2016-03-02. Haagerup's inequality and additivity violation of the Minimum Output Entropy. https://arxiv.org/abs/1603.00577

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