dorsal/arxiv
View SchemaConcurrence and foliations induced by some 1-qubit channels
| Authors | Armin Uhlmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301088 |
| URL | https://arxiv.org/abs/quant-ph/0301088 |
| Journal | Int. J. Theeor. Phys. 42, 983-999 (2003) |
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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"abstract": "We start with a short introduction to the roof concept. An elementary\ndiscussion of phase-damping channels shows the role of anti-linear operators in\nrepresenting their concurrence. A general expression for some concurrences is\nderived. We apply it to 1-qubit channels of length two, getting induced\nfoliations of the state space, the optimal decompositions, and the entropy of a\nstate with respect to these channels. For amplitude-damping channels one\nobtains an expression for the Holevo capacity allowing for easy numerical\ncalculations.",
"arxiv_id": "quant-ph/0301088",
"authors": [
"Armin Uhlmann"
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"journal_ref": "Int. J. Theeor. Phys. 42, 983-999 (2003)",
"title": "Concurrence and foliations induced by some 1-qubit channels",
"url": "https://arxiv.org/abs/quant-ph/0301088"
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