Entropic tests of multipartite nonlocality and state-independent contextuality

Abstract

We introduce a multipartite extension of an information-theoretic distance first introduced in [Nature 341, 119 (1989)]. We use this new distance to derive entropic tests of multipartite nonlocality for three and for an arbitrary even number of qubits as well as a test of state-independent contextuality. In addition, we re-derive the tripartite Mermin inequality and a state-independent non-contextuality inequality by Cabello [Phys. Rev. Lett. 101, 210401 (2008)]. This suggests that the information-theoretic distance approach to multipartite nonlocality and state-independent contextuality can provide a more general treatment of nonclassical correlations than the orthodox approach based on correlation functions.

arXiv comment5 pages, 3 figures, extended version of arXiv:1409.7290 with more general results

References in corpus (7)

• Hidden Variables and the Two Theorems of John Bell
• Experimentally testable state-independent quantum contextuality
• An entropic approach to local realism and noncontextuality
• Entropic Inequalities and Marginal Problems
• Entropic Test of Quantum Contextuality
• Causal structures from entropic information: Geometry and novel scenarios
• Entropic inequalities as a necessary and sufficient condition to noncontextuality and locality

Cited by in corpus (8)

• Kochen-Specker Contextuality
• Entropic nonsignaling correlations
• The entropic approach to causal correlations
• Indistinguishability of causal relations from limited marginals
• Experimental entropic test of state-independent contextuality via single photons
• Experimental Test of Irreducible Four-Qubit Greenberger-Horne-Zeilinger Paradox
• Irreducible magic sets for $n$-qubit systems
• Geometric extension of Clauser-Horne inequality to more qubits