In this paper, we analyze the (im)possibility of the exact distinguishability of orthogonal multipartite entangled states under restricted local operation and classical communication. Based on this local distinguishability analysis, we propose a quantum secret sharing scheme (which we call LOCC-QSS). Our LOCC-QSS scheme is quite general and cost efficient compared to other schemes. In our scheme, no joint quantum operation is needed to reconstruct the secret. We also present an interesting (2,n)-threshold LOCC-QSS scheme, where any two cooperating players, one from each of two disjoint groups of players, can always reconstruct the secret. This LOCC-QSS scheme is quite uncommon, as most (/c,n (-threshold quantum secret sharing schemes have the restriction k > ffl-
Recently, the principle of non-violation of Information Causality [Nature 461, 1101[Nature 461, (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 principle of non-violation of Information Causality. Applying, a sufficient condition for Information causality violation, we derive an upper bound on the maximum success probability of Hardy's nonlocality argument. We find that the bound achieved here is higher than that allowed by quantum mechanics, but still much less than what the no-signalling condition permits. We also study the Cabello type non-locality argument (a generalization of Hardy's argument) in this context.
Gisin's theorem assures that for any pure bipartite entangled state, there is violation of Bell-CHSH inequality revealing its contradiction with local realistic model. Whether, similar result holds for three-qubit pure entangled states, remained unresolved. We show analytically that all three-qubit pure entangled states violate a Bell-type inequality, derived on the basis of local realism, by exploiting the Hardy's non-locality argument.
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