Additive invariants on quantum channels and applications to regularized minimum entropy

Details Additive invariants on quantum channels and applications to regularized minimum entropy Additive invariants on quantum channels and applications to regularized minimum entropy

2008-08-30

arxiv.org/abs/0809.0078v4

Physics

Quantum Physics

14 pages, a few typo corrections

Scientific paper

We introduce two additive invariants of output quantum channels. If the value of one these invariants is less than 1 then the logarithm of the inverse of its value is a positive lower bound for the regularized minimum entropy of an output quantum channel. We give a few examples in which one of these invariants is less than 1. We also study the special cases where the above both invariants are equal to 1.

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