Entropic tests of multipartite nonlocality and state-independent contextuality

TL;DR

This paper develops entropic tests for multipartite nonlocality and contextuality, extending previous information-theoretic distances to more complex quantum systems, and offers a more general framework than traditional correlation-based methods.

Contribution

It introduces a multipartite extension of an information-theoretic distance and derives new entropic inequalities for nonlocality and contextuality in quantum systems.

Findings

Derived entropic tests for multipartite nonlocality in qubits.

Re-derived Mermin and non-contextuality inequalities using the new approach.

Showed the approach's potential for a more general treatment of quantum correlations.

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.