Complete solution for unambiguous discrimination of three pure states with real inner products

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.032338· OSTI ID:21448676

Sugimoto, H; Hashimoto, T; Horibe, M; Hayashi, A ^[1]

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1. Department of Applied Physics, University of Fukui, Fukui 910-8507 (Japan)

Complete solutions are given in a closed analytic form for unambiguous discrimination of three general pure states with real mutual inner products. For this purpose, we first establish some general results on unambiguous discrimination of n linearly independent pure states. The uniqueness of solution is proved. The condition under which the problem is reduced to an (n-1)-state problem is clarified. After giving the solution for three pure states with real mutual inner products, we examine some difficulties in extending our method to the case of complex inner products. There is a class of set of three pure states with complex inner products for which we obtain an analytical solution.

• OSTI ID: 21448676
• Journal Information: Physical Review. A, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevA.82.032338; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
CALCULATION METHODS
PURE STATES
QUANTUM MECHANICS
QUANTUM NUMBERS
MATHEMATICAL SOLUTIONS
MECHANICS
QUANTUM STATES