Phys. Rev. Lett. 90, 157903 (2003) [4 pages]Symmetric Extensions of Quantum States and Local Hidden Variable TheoriesReceived 18 October 2002; published 16 April 2003 While all bipartite pure entangled states violate some Bell inequality, the relationship between entanglement and nonlocality for mixed quantum states is not well understood. We introduce a simple and efficient algorithmic approach for the problem of constructing local hidden variable theories for quantum states. The method is based on constructing a so-called symmetric quasiextension of the quantum state that gives rise to a local hidden variable model with a certain number of settings for the observers Alice and Bob. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.157903
DOI:
10.1103/PhysRevLett.90.157903
PACS:
03.65.Ud, 03.67.Mn
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