English

Unified approach to contextuality, non-locality, and temporal correlations

Quantum Physics 2016-10-13 v2

Abstract

We highlight the existence of a joint probability distribution as the common underpinning assumption behind Bell-type, contextuality, and Leggett-Garg-type tests. We then present a procedure to translate contextual scenarios into temporal Leggett-Garg-type and spatial Bell-type ones. To demonstrate the generality of this approach we construct a family of spatial Bell-type inequalities. We show that in Leggett-Garg scenario a necessary condition for contextuality in time is given by a violation of consistency conditions in Consistent Histories approach to quantum mechanics.

Keywords

Cite

@article{arxiv.1302.3502,
  title  = {Unified approach to contextuality, non-locality, and temporal correlations},
  author = {M. Markiewicz and P. Kurzynski and J. Thompson and S. -Y. Lee and A. Soeda and T. Paterek and D. Kaszlikowski},
  journal= {arXiv preprint arXiv:1302.3502},
  year   = {2016}
}

Comments

6 pages, 1 figure