Unambiguous discrimination of mixed quantum states: Optimal solution and case study

Journal Article · Mon Feb 15 04:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.020304· OSTI ID:21413246

Kleinmann, Matthias ^[1]; Kampermann, Hermann; Bruss, Dagmar ^[1]

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1. Institut fuer Theoretische Physik III, Heinrich-Heine-Universitaet Duesseldorf, DE-40225 Duesseldorf (Germany)

We present a generic study of the unambiguous discrimination between two mixed quantum states. We derive operational optimality conditions and show that the optimal measurements can be classified according to their rank. In Hilbert space dimensions less than or equal to 5, this leads to the complete optimal solution. We demonstrate our method with a physical example, namely, the unambiguous comparison of n quantum states, and find the optimal success probability.

• OSTI ID: 21413246
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 81; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BANACH SPACE
COMPARATIVE EVALUATIONS
EVALUATION
HILBERT SPACE
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
PROBABILITY
SPACE