| quant-ph/0210053 (October 2002) | | Local Hidden Variable Theories for Quantum States | | Barbara M. Terhal, Andrew C. Doherty and David Schwab | IBM Watson Research Center, P.O. Box 218, Yorktown Heights, NY 10598, USA,
Department of Physics, Cornell University, 109 Clark Hall, Ithaca, NY 14853, USA
Institute for Quantum Information, Caltech 107--81, Pasadena, CA 91125, USA,
| | Received. 08 October 2002 Last updated. 15 October 2002 | | Abstract. While all bipartite pure entangled states violate some Bell inequality, the relationship between entanglement and non-locality 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 quasi-extension 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. | | Categories. quant-ph | | Comment. 8 pages Revtex; v2 contains substantial changes, a strengthened main theorem and more references | | Journal-ref. Phys. Rev. Lett {f 90}, 157903 (2003) |
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