Mixing doubly stochastic quantum channels with the completely depolarizing channel
Quantum Physics
2008-07-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0807.2668,
title = {Mixing doubly stochastic quantum channels with the completely depolarizing channel},
author = {John Watrous},
journal= {arXiv preprint arXiv:0807.2668},
year = {2008}
}
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8 pages