Distinguishing a set of full product bases needs only projective measurements and classical communication

Details Distinguishing a set of full product bases needs only projective measurements and classical communication Distinguishing a set of full product bases needs only projective measurements and classical communication

2003-11-23

arxiv.org/abs/quant-ph/0311154v2

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.70.022306

Nonlocality without entanglement is an interesting field. A manifestation of quantum nonlocality without entanglement is the local indistinguishability of a set of orthogonal product states. In this paper we analyze the character of operators to distinguish a set of full product bases in a multi-partite system, and show that distinguishing perfectly a set of full product bases needs only local projective measurements and classical communication, and these measurements cannot damage each product basis. Employing these conclusions one can discuss local distinguishability of full product bases easily. Finally we discuss the generalization of these results to the locally distinguishability of a set of incomplete product bases.

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