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Strong nonlocality: a trade−off between states and measurements

Anthony J Short and Jonathan Barrett

Abstract

Measurements on entangled quantum states can produce outcomes that are nonlocally correlated. But according to Tsirelson's theorem, there is a quantitative limit on quantum nonlocality. It is interesting to explore what would happen if Tsirelson's bound were violated. To this end, we consider a model that allows arbitrary nonlocal correlations, colloquially referred to as "box world". We show that while box world allows more highly entangled states than quantum theory, measurements in box world are rather limited. As a consequence there is no entanglement swapping, teleportation or dense coding.

ISSN
1367−2630
Journal
New Journal of Physics
Month
mar
Number
3
Pages
033034
Volume
12
Year
2010