No-signaling, perfect bipartite dichotomic correlations and local randomness
Abstract
The no-signaling constraint on bi-partite correlations is reviewed. It is shown that in order to obtain non-trivial Bell-type inequalities that discern no-signaling correlations from more general ones, one must go beyond considering expectation values of products of observables only. A new set of nontrivial no-signaling inequalities is derived which have a remarkably close resemblance to the CHSH inequality, yet are fundamentally different. A set of inequalities by Roy and Singh and Avis et al., which is claimed to be useful for discerning no-signaling correlations, is shown to be trivially satisfied by any correlation whatsoever. Finally, using the set of newly derived no-signaling inequalities a result with potential cryptographic consequences is proven: if different parties use identical devices, then, once they have perfect correlations at spacelike separation between dichotomic observables, they know that because of no-signaling the local marginals cannot but be completely random.
Keywords
Cite
@article{arxiv.1108.3926,
title = {No-signaling, perfect bipartite dichotomic correlations and local randomness},
author = {M. P. Seevinck},
journal= {arXiv preprint arXiv:1108.3926},
year = {2011}
}
Comments
Published in 'Proceedings of the International Conference Advances in Quantum Theory', AIP Conference Proceedings, vol. 1327, 2011. pp. 36-53