Optimal bounded-error strategies for projective measurements in nonorthogonal-state discrimination
- Department of Physics and Centre for Quantum Information and Quantum Control, University of Toronto, 60 St. George Street, Toronto, M5S-1A7 (Canada)
Research in nonorthogonal-state discrimination has given rise to two conventional optimal strategies: unambiguous discrimination (UD) and minimum error discrimination. We explore the experimentally relevant range of measurement strategies between the two, where the rate of inconclusive results is minimized for a bounded-error rate. We first provide some constraints on the problem that apply to generalized measurements [positive-operator-valued measurements (POVMs)]. We then provide the theory for the optimal projective measurement in this range. Through analytical and numerical results we investigate this family of projective, bounded-error strategies and compare it to the POVM family as well as to experimental implementation of UD using POVMs. We also discuss a possible application of these bounded-error strategies to quantum key distribution.
- OSTI ID:
- 21140629
- Journal Information:
- Physical Review. A, Vol. 76, Issue 6; Other Information: DOI: 10.1103/PhysRevA.76.062314; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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