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"Partial" Fidelities
Armin Uhlmann
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/9912114
- categories:
- quant-ph math-ph math.MP
- comments:
- LATEX2e, 14 pages
- doi:
- 10.1016/S0034-4877(00)80007-5
- arxiv_id:
- quant-ph/9912114
- journal_ref:
- Rep. Math. Phys. 45, 407-418 (2000)
- report_no:
- ESI preprint 810
- created:
- 1999-12-28
- updated:
- 2000-03-27
Full article ▸
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