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Local Quantum Measurement and No-Signaling Imply Quantum Correlations

Barnum, H. and Beigi, S. and Boixo, S. and Elliott, M. B. and Wehner, S. (2010) Local Quantum Measurement and No-Signaling Imply Quantum Correlations. Physical Review Letters, 104 (14). Art. No. 140401. ISSN 0031-9007.

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We show that, assuming that quantum mechanics holds locally, the finite speed of information is the principle that limits all possible correlations between distant parties to be quantum mechanical as well. Local quantum mechanics means that a Hilbert space is assigned to each party, and then all local positive-operator-valued measurements are (in principle) available; however, the joint system is not necessarily described by a Hilbert space. In particular, we do not assume the tensor product formalism between the joint systems. Our result shows that if any experiment would give nonlocal correlations beyond quantum mechanics, quantum theory would be invalidated even locally.

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Additional Information:© 2010 The American Physical Society. Received 26 November 2009; published 6 April 2010. This work was supported by the National Science Foundation under Grant No. PHY-0803371 through the Institute for Quantum Information at the California Institute of Technology, and by the U.S. Department of Energy through the LDRD program at Los Alamos National Laboratory. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ministry of Research and Innovation.
Funding AgencyGrant Number
U.S. Department of EnergyUNSPECIFIED
Industry Canada, CanadaUNSPECIFIED
Ministry of Research and Innovation, Province of Ontario, CanadaUNSPECIFIED
Issue or Number:14
Classification Code: PACS: 03.65.Ta, 03.65.Ud, 03.67.-a
Record Number:CaltechAUTHORS:20100518-104658791
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18338
Deposited By: Ruth Sustaita
Deposited On:19 May 2010 17:46
Last Modified:03 Oct 2019 01:41

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