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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/256

Title: Local randomness in Hardy’s correlations: implications from the information causality principle
Authors: Gazi, MD. Rajjak
Rai, Ashutosh
Kunkri, Samir
Rahaman, Ramij
Issue Date: 2010
Publisher: J. Phys. A: Math. Theor.
Citation: M. Rajjak Gazi, Ashutosh Rai, S. Kunkri and R. Rahaman, Local randomness in Hardy's correlations: implications from the information causality principle, J. Phys. A: Math. Theor., 2010, 43, 452001
Abstract: Study of non-local correlations in terms of Hardy’s argument has been quite popular in quantum mechanics. Hardy’s non-locality argument depends on some kind of asymmetry, but a two-qubit maximally entangled state, being symmetric, does not exhibit this kind of non-locality. Herewe ask the following question: can this feature be explained by some principle outside quantum mechanics? The no-signaling condition does not provide a solution. But, interestingly, the information causality principle (Pawlowski et al 2009 Nature 461 1101) offers an explanation. It shows that any generalized probability theory which gives completely random results for local dichotomic observable, cannot provide Hardy’s non-local correlation if it is restricted by a necessary condition for respecting the information causality principle. In fact, the applied necessary condition imposes even more restrictions on the local randomness of measured observable. Still, there are some restrictions imposed by quantum mechanics that are not reproduced from the considered information causality condition.
URI: http://hdl.handle.net/123456789/256
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