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Bound on Hardy's non-locality from the principle of Information Causality | | Ali Ahanj
; Samir Kunkri
; Ashutosh Rai
; Ramij Rahaman
; Pramod S. Joag
; | | Date: |
11 Dec 2009 | | Abstract: | Recently, the principle of non-violation of Information Causality [Nature
461, 1101 (2009)], has been proposed as one of the foundational properties of
nature. We explore the Hardy’s non-locality theorem for two qubit systems, in
the context of generalized probability theory, restricted by the principal of
non-violation of Information Causality. We find that the maximum probability
with which the Hardy’s non-locality argument runs, is higher than that allowed
by quantum mechanics, but still much less than what no-signalling condition
permits. Interestingly the probability set for which this maximum is achieved
provide same CHSH value $2sqrt{2}$, which is optimal in quantum mechanics, as
well as in generalized probability theory obeying non-violation of Information
Causality. We also study the Cabello type non-locality argument (a
generalization of Hardy’s argument) in this context. | | Source: | arXiv, 0912.2232 | | Services: | Forum | Review | PDF | Favorites | |
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