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Article overview
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A Classification of Multipartite States by Degree of Non-Locality | | Samson Abramsky
; Carmen Maria Constantin
; | | Date: |
16 Dec 2014 | | Abstract: | 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. | | Source: | arXiv, 1412.5213 | | Services: | Forum | Review | PDF | Favorites | |
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