English

Complementarity between signalling and local indeterminacy in quantum nonlocal correlations

Quantum Physics 2014-08-06 v2

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.

Keywords

Cite

@article{arxiv.1309.4435,
  title  = {Complementarity between signalling and local indeterminacy in quantum nonlocal correlations},
  author = {S. Aravinda and R. Srikanth},
  journal= {arXiv preprint arXiv:1309.4435},
  year   = {2014}
}

Comments

5 pages, no figures; Accepted for publication in Quantum Information and Computation

R2 v1 2026-06-22T01:29:01.422Z