dorsal/arxiv
View Schema"Partial" Fidelities
| Authors | Armin Uhlmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9912114 |
| URL | https://arxiv.org/abs/quant-ph/9912114 |
| DOI | 10.1016/S0034-4877(00)80007-5 |
| Journal | Rep. Math. Phys. 45, 407-418 (2000) |
Abstract
For pairs, omega, rho, of density operators on a finite dimensional Hilbert space of dimension d I call k-fidelity the d - k smallest eigenvalues of | omega^1/2 rho^1/2 |. k-fidelities are jointly concave in omega, rho. This follows by representing them as infima over linear functions. For k = 0 known properties of fidelity and transition probability are reproduced. Partial fidelities characterize equivalence classes which are partially ordered in a natural way.
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"abstract": "For pairs, omega, rho, of density operators on a finite dimensional Hilbert\nspace of dimension d I call k-fidelity the d - k smallest eigenvalues of |\nomega^1/2 rho^1/2 |. k-fidelities are jointly concave in omega, rho. This\nfollows by representing them as infima over linear functions. For k = 0 known\nproperties of fidelity and transition probability are reproduced. Partial\nfidelities characterize equivalence classes which are partially ordered in a\nnatural way.",
"arxiv_id": "quant-ph/9912114",
"authors": [
"Armin Uhlmann"
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"quant-ph",
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"doi": "10.1016/S0034-4877(00)80007-5",
"journal_ref": "Rep. Math. Phys. 45, 407-418 (2000)",
"title": "\"Partial\" Fidelities",
"url": "https://arxiv.org/abs/quant-ph/9912114"
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