Maximal p-norms of entanglement breaking channels

Details Maximal p-norms of entanglement breaking channels Maximal p-norms of entanglement breaking channels

2002-12-10

arxiv.org/abs/quant-ph/0212057v1

Physics

Quantum Physics

7 pages

Scientific paper

It shown that when one of the components of a product channel is entanglement breaking, the output state with maximal p-norm is always a product state. This result complements Shor's theorem that both minimal entropy and Holevo capacity are additive for entanglement breaking channels. It is also shown how Shor's results can be recovered from the p-norm results by considering their behavior for p close to one.

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