Mixing doubly stochastic quantum channels with the completely depolarizing channel

Details Mixing doubly stochastic quantum channels with the completely depolarizing channel Mixing doubly stochastic quantum channels with the completely depolarizing channel

2008-07-16

arxiv.org/abs/0807.2668v1

Physics

Quantum Physics

8 pages

Scientific paper

It is proved that every doubly stochastic quantum channel that is properly
averaged with the completely depolarizing channel can be written as a convex
combination of unitary channels. As a consequence, we find that the collection
of channels expressible as convex combinations of unitary channels has non-zero
Borel measure within the space of doubly stochastic channels.

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