Orthogonality and distinguishability: Criterion for local distinguishability of arbitrary orthogonal states
- Department of Applied Physics, National University of Defense Technology, Changsha 410073 (China)
We consider the relation between the orthogonality and the distinguishability of a set of arbitrary states (including multipartite states). It is shown that if a set of arbitrary states can be distinguished by local operations and classical communication (LOCC), each of the states can be written as a linear combination of product vectors such that all product vectors of one of the states are orthogonal to the other states. With this result we then prove a simple necessary condition for LOCC distinguishability of a class of orthogonal states. These conclusions may be useful in discussing the distinguishability of orthogonal quantum states further, understanding the essence of nonlocality and discussing the distillation of entanglement.
- OSTI ID:
- 20640446
- Journal Information:
- Physical Review. A, Vol. 68, Issue 6; Other Information: DOI: 10.1103/PhysRevA.68.062107; (c) 2003 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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