dorsal/arxiv
View SchemaFidelity and Concurrence of conjugated states
| Authors | Armin Uhlmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909060 |
| URL | https://arxiv.org/abs/quant-ph/9909060 |
| DOI | 10.1103/PhysRevA.62.032307 |
| Journal | Phys. Rev. A, 62, 032307 (2000) |
Abstract
We prove some new properties of fidelity (transition probability) and concurrence, the latter defined by straightforward extension of Wootters notation. Choose a conjugation and consider the dependence of fidelity or of concurrence on conjugated pairs of density operators. These functions turn out to be concave or convex roofs. Optimal decompositions are constructed. Some applications to two- and tripartite systems illustrate the general theorem.
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"abstract": "We prove some new properties of fidelity (transition probability) and\nconcurrence, the latter defined by straightforward extension of Wootters\nnotation. Choose a conjugation and consider the dependence of fidelity or of\nconcurrence on conjugated pairs of density operators. These functions turn out\nto be concave or convex roofs. Optimal decompositions are constructed. Some\napplications to two- and tripartite systems illustrate the general theorem.",
"arxiv_id": "quant-ph/9909060",
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"doi": "10.1103/PhysRevA.62.032307",
"journal_ref": "Phys. Rev. A, 62, 032307 (2000)",
"title": "Fidelity and Concurrence of conjugated states",
"url": "https://arxiv.org/abs/quant-ph/9909060"
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