Unambiguous discrimination of mixed states: A description based on system-ancilla coupling

Journal Article · Tue May 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.75.052314· OSTI ID:20982483

Zhou, Xiang-Fa; Zhang, Yong-Sheng; Guo, Guang-Can ^[1]

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1. Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026 (China)

We propose a general description for the unambiguous discrimination of mixed states according to the system-environment coupling, and present a procedure to reduce this to a standard semidefinite programming problem. In the two-state case, we introduce the canonical vectors and partly simplify the problem to the case of discrimination between pairs of canonical vectors. By considering the positivity of the 2x2 matrices, we obtain a series of new upper bounds for the total success probability, which depends on both the prior probabilities and specific state structures.

• OSTI ID: 20982483
• Journal Information: Physical Review. A, Vol. 75, Issue 5; Other Information: DOI: 10.1103/PhysRevA.75.052314; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUND STATE
COUPLING
MATRICES
MIXED STATE
PARTICLE DISCRIMINATION
PROBABILITY
PROGRAMMING