True Multipartite Entanglement Hardy Test

Abstract

Quantum mechanics allows systems to be entangled with each other, which results in stronger than classical correlations. Many methods of identifying entanglement have been proposed over years, most of which are based on violating some statistical inequalities. In this work we extend the idea due to Hardy, in which entanglement is not identified with use of statistical inequalities, but by simultaneous satisfaction of certain conditions. We show that the new variant of the Hardy paradox relying on marginal probabilities can be resolved only by true multipartite entangled states. Also, the state resolving this paradox for given local measurements is pure and unique in case of qubit collections.

5 pages,ver. 3 with the protocol removed due to a security loophole

References in corpus (2)

• All entangled pure states violate a single Bell's inequality
• Test of Genuine Multipartite Nonlocality Without Inequality

Cited by in corpus (5)

• Genuine multipartite nonlocality in the one-dimensional ferromagnetic spin-1/2 chain
• Efficient Test to Demonstrate Genuine Three Particle Nonlocality
• Distribution of Bell inequality violation vs. multiparty quantum correlation measures
• The Hardy's nonlocality argument
• All-versus-nothing violation of local realism from the Hardy paradox under no-signaling