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Concurrence and foliations induced by some 1-qubit channels

Armin Uhlmann
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Abstract

We start with a short introduction to the roof concept. An elementary discussion of phase-damping channels shows the role of anti-linear operators in representing their concurrence. A general expression for some concurrences is derived. We apply it to 1-qubit channels of length two, getting induced foliations of the state space, the optimal decompositions, and the entropy of a state with respect to these channels. For amplitude-damping channels one obtains an expression for the Holevo capacity allowing for easy numerical calculations.

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Armin Uhlmann. 2003-01-17. Concurrence and foliations induced by some 1-qubit channels. https://arxiv.org/abs/quant-ph/0301088

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