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Multiplicativity of the maximal output 2-norm for depolarized Werner-Holevo channels

arXiv:0707.1722 · doi:10.1063/1.2818737

Abstract

We study the multiplicativity of the output 2-norm for depolarized Werner-Holevo channels and show that multiplicativity holds for a product of two identical channels in this class. Moreover, it shown that the depolarized Werner-Holevo channels do not satisfy the entrywise positivity condition introduced by C. King and M.B. Ruskai, which suggests that the main result is non-trivial.

3 pages