The maximum output p-norm of quantum channels is not multiplicative for any p>2

Physics – Quantum Physics

Scientific paper

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Superseded by arXiv:0807.4753! -- Old comment: Four pages only. If you write to me, please don't tell me how simple and obviou

Scientific paper

We prove the claim made in the title by showing that approximately
randomising maps of large dimension are counterexamples to the multiplicativity
conjecture.

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