Zhou, Yuqian and Cai, Yu and Bancal, JeanDaniel and Gao, Fei and Scarani, Valerio. (2017) Manybox locality. Physical Review A, 96 (5). 052108.

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Official URL: http://edoc.unibas.ch/58189/
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Abstract
There is an ongoing search for a physical or operational definition for quantum mechanics. Several informational principles have been proposed which are satisfied by a theory less restrictive than quantum mechanics. Here, we introduce the principle of “manybox locality,” which is a refined version of the previously proposed “macroscopic locality.” These principles are based on coarse graining the statistics of several copies of a given box. The set of behaviors satisfying manybox locality for N boxes is denoted LMBN. We study these sets in the bipartite scenario with two binary measurements, in relation with the sets Q and Q1+AB of quantum and “almost quantum” correlations, respectively. We find that the LMBN sets are, in general, not convex. For unbiased marginals, by working in the Fourier space we can prove analytically that LMBN⊈Q for any finite N, while LMB∞=Q. Then, with suitably developed numerical tools, we find an example of a point that belongs to LMB16 but not to Q1+AB. Among the problems that remain open is whether Q⊂LMB∞.
Faculties and Departments:  05 Faculty of Science > Departement Physik > Former Organization Units Physics > Quantum Physics (Sangouard) 

UniBasel Contributors:  Sangouard, Nicolas 
Item Type:  Article, refereed 
Article Subtype:  Research Article 
Publisher:  American Physical Society 
ISSN:  24699926 
eISSN:  24699934 
Note:  Publication type according to Uni Basel Research Database: Journal article 
Language:  English 
Identification Number:  
edoc DOI:  
Last Modified:  10 Jan 2018 11:41 
Deposited On:  10 Jan 2018 11:41 
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