Concurrence and foliations induced by some 1-qubit channels
Abstract
Description
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.
Quantum Composite systems 2002, Ustron, Poland, September 2002, talk
Quantum Composite systems 2002, Ustron, Poland, September 2002, talk