Quantum Physics
[Submitted on 16 Dec 2014 (v1), last revised 30 Dec 2014 (this version, v2)]
Title:A classification of multipartite states by degree of non-locality
View PDFAbstract:We propose a novel form of classification of multipartite states, in terms of the maximum degree of non-locality they can exhibit under any choice of local observables. This uses the hierarchy of notions previously introduced by Abramsky and Brandenburger: strong contextuality, logical contextuality, and probabilistic contextuality.
We study n-qubit pure states. We conjecture that for more than 2 parties, all entangled states are logically contextual. We prove a number of results in support of this conjecture: (1) We show that all permutation-symmetric states are logically non-local. (2) We study the class of balanced states with functional dependencies. These states are described by Boolean functions and have a rich structure, allowing a detailed analysis, which again confirms the conjecture in this case.
Submission history
From: EPTCS [view email] [via EPTCS proxy][v1] Tue, 16 Dec 2014 22:02:36 UTC (17 KB)
[v2] Tue, 30 Dec 2014 11:36:43 UTC (32 KB)
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