Concurrence and foliations induced by some 1-qubit channels

Details Concurrence and foliations induced by some 1-qubit channels Concurrence and foliations induced by some 1-qubit channels

2003-01-17

arxiv.org/abs/quant-ph/0301088v1

Int. J. Theeor. Phys. 42, 983-999 (2003)

Physics

Quantum Physics

Quantum Composite systems 2002, Ustron, Poland, September 2002, talk

Scientific paper

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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