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Complementarity between signalling and local indeterminacy in quantum nonlocal correlations

arXiv
Authors: S. Aravinda, R. Srikanth

Year

2013

Paper ID

32658

Status

Preprint

Abstract Read

~2 min

Abstract Words

84

Citations

N/A

Abstract

The correlations that violate the CHSH inequality are known to have complementary contributions from signaling and local indeterminacy. This complementarity is shown to represent a strengthening of Bell's theorem, and can be used to certify randomness in a device-independent way, assuming neither the validity of quantum mechanics nor even no-signaling. We obtain general nonlocal resources that can simulate the statistics of the singlet state, encompassing existing results. We prove a conjecture due to Hall (2010) and Kar et al. (2011) on the complementarity for such resources.

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  • This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
  • It adds a 2013 reference point for readers tracking recent quantum research.
  • The correlations that violate the CHSH inequality are known to have complementary contributions from signaling and local indeterminacy.

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