G. Birkhoff's problem in irreversible quantum dynamics [PDF]
Anilesh MohariWe find a complete invariance upto cocycle conjugacy for an extremal element in the convex set of unital trace preserving completely positive map on matrix algebra over the field of complex numbers. As an application we prove that any extremal element in the set of unital trace preserving completely positive map is also extremal in the convex set of unital completely positive maps.View original: http://arxiv.org/abs/1006.5198
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