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Maximally Nonlocal and Monogamous Quantum Correlations

Barrett, Jonathan and Kent, Adrian and Pironio, Stefano (2006) Maximally Nonlocal and Monogamous Quantum Correlations. Physical Review Letters, 97 (17). Art. No. 170409. ISSN 0031-9007. doi:10.1103/PhysRevLett.97.170409.

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We introduce a version of the chained Bell inequality for an arbitrary number of measurement outcomes and use it to give a simple proof that the maximally entangled state of two d-dimensional quantum systems has no local component. That is, if we write its quantum correlations as a mixture of local correlations and general (not necessarily quantum) correlations, the coefficient of the local correlations must be zero. This suggests an experimental program to obtain as good an upper bound as possible on the fraction of local states and provides a lower bound on the amount of classical communication needed to simulate a maximally entangled state in d×d dimensions. We also prove that the quantum correlations violating the inequality are monogamous among nonsignaling correlations and, hence, can be used for quantum key distribution secure against postquantum (but nonsignaling) eavesdroppers.

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Additional Information:© 2006 The American Physical Society (Received 21 May 2006; published 27 October 2006) A.K. thanks Jonathan Oppenheim for helpful conversations. Research at the Perimeter Institute is supported in part by the Government of Canada through NSERC and by the Province of Ontario through MEDT. S.P. acknowledges support by the Belgian American Educational Foundation, by the National Science Foundation under Grant No. EIA-0086038, and by the European Commission under the Integrated Project Qubit Applications (QAP) funded by the IST directorate as Contract No. 015848.
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Ontario Ministry of Economic Development and TradeUNSPECIFIED
Belgian American Educational Foundation (BAEF)UNSPECIFIED
European Research Council (ERC)015848
Issue or Number:17
Record Number:CaltechAUTHORS:BARprl06a
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6201
Deposited By: Archive Administrator
Deposited On:28 Nov 2006
Last Modified:08 Nov 2021 20:32

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