Characterizing locally distinguishable orthogonal product states

Yuan Feng; Yaoyun Shi

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arXiv · 0707.3581

Characterizing locally distinguishable orthogonal product states

Yuan Feng·Yaoyun Shi

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Abstract

Bennett et al. \cite{BDF+99} identified a set of orthogonal {\em product} states in the $3\otimes 3$ Hilbert space such that reliably distinguishing those states requires non-local quantum operations. While more examples have been found for this counter-intuitive ``nonlocality without entanglement'' phenomenon, a complete and computationally verifiable characterization for all such sets of states remains unknown. In this Letter, we give such a characterization for the $3\otimes 3$ space.

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Yuan Feng, Yaoyun Shi. 2007-07-24. Characterizing locally distinguishable orthogonal product states. https://arxiv.org/abs/0707.3581

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