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Symmetric extensions of quantum states and local hidden variable theories

Terhal, Barbara M. and Doherty, Andrew C. and Schwab, David (2003) Symmetric extensions of quantum states and local hidden variable theories. Physical Review Letters, 90 (15). Art. No. 157903. ISSN 0031-9007.

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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.

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Additional Information:©2003 The American Physical Society. Received 18 October 2002; published 16 April 2003. We thank Dave Bacon and Ben Toner for providing us with extremal Bell inequalities used in some of the numerical work. We are very grateful to Michael Wolf for his insightful comments on the original draft of this paper and for bringing Ref. [10] to our attention. B.M.T. and A.C.D. acknowledge support from the NSF under Grant No. EIA-0086038. A.C.D. acknowledges support from the Caltech MURI Center for Quantum Networks administered by the ARO under Grant DAAD19-00-1-0374 and B.M.T. from the NSA and the Advanced Research and Development Activity through ARO Contract No. DAAD19-01-C-0056. A.C.D. thanks Mark Kasevich and Steve Girvin for their hospitality at Yale University where part of this work was completed. D.S. thanks the IQI for support.
Subject Keywords:Bell theorem; quantum entanglement; localised states; quantum communication; measurement theory
Issue or Number:15
Record Number:CaltechAUTHORS:TERprl03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2109
Deposited By: Tony Diaz
Deposited On:08 Mar 2006
Last Modified:02 Oct 2019 22:50

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