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Optimal discrimination of quantum states with a fixed rate of inconclusive outcomes
Bagán Capella, Emili (Universitat Autònoma de Barcelona. Departament de Física)
Muñoz Tapia, Ramón (Universitat Autònoma de Barcelona. Departament de Física)
Olivares Rentería, G. A. (University of New York. Department of Physics and Astronomy)
Bergou, J. A. (University of New York. Department of Physics and Astronomy)
American Physical Society

Data: 2012
Resum: We present the solution to the problem of optimally discriminating among quantum states, i. e. , identifying the states with maximum probability of success when a certain fixed rate of inconclusive answers is allowed. By varying the inconclusive rate, the scheme optimally interpolates between unambiguous and minimum error discrimination, the two standard approaches to quantum state discrimination. We introduce a very general method that enables us to obtain the solution in a wide range of cases and give a complete characterization of the minimum discrimination error as a function of the rate of inconclusive answers. A critical value of this rate is identified that coincides with the minimum failure probability in the cases where unambiguous discrimination is possible and provides a natural generalization of it when states cannot be unambiguously discriminated. The method is illustrated on two explicit examples: discrimination of two pure states with arbitrary prior probabilities and discrimination of trine states.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; publishedVersion
Publicat a: Physical review. A, Vol. 86, Issue 4 (October 2012) , p. 40303, ISSN 1050-2947

DOI: 10.1103/PhysRevA.86.040303


4 p, 162.2 KB

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