Information causality from an entropic and a probabilistic perspective

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Date: 
2011-10-11
Author(s): 

Sabri W. Al-Safi, Anthony J. Short

Reference: 

Phys. Rev. A 84, 042323 (2011)

The information causality principle is a generalisation of the no-signalling principle which implies some of the known restrictions on quantum correlations. But despite its clear physical motivation, information causality is formulated in terms of a rather specialised game and figure of merit. We explore different perspectives on information causality, discussing the probability of success as the figure of merit, a relation between information causality and the non-local `inner-product game', and the derivation of a quadratic bound for these games. We then examine an entropic formulation of information causality with which one can obtain the same results, arguably in a simpler fashion.