Concurrence and foliations induced by some 1-qubit channels
Quantum Physics
2007-05-23 v1
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.
Cite
@article{arxiv.quant-ph/0301088,
title = {Concurrence and foliations induced by some 1-qubit channels},
author = {Armin Uhlmann},
journal= {arXiv preprint arXiv:quant-ph/0301088},
year = {2007}
}
Comments
Quantum Composite systems 2002, Ustron, Poland, September 2002, talk