Abstract
We study the principle of information-causality (IC) in the presence of extremal no-signaling correlations on a tripartite scenario. We prove that all, except one, of the non-local correlations lead to violation of IC. The remaining non-quantum correlation is shown to satisfy any bipartite physical principle.
Highlights
Quantum theory was developed as a set of mathematical rules from which predictions on physical phenomena could successfully be obtained
Much effort has been put towards finding intuitive physical principles on which to lay the foundations of quantum theory
IC is violated by all correlations violating the Clauser-Horn-Shimony-Holt (CHSH) Bell inequality [6] by a value superior to that allowed by quantum theory [3]
Summary
Quantum theory was developed as a set of mathematical rules from which predictions on physical phenomena could successfully be obtained. It has been proven that physical correlations satisfy the no-signalling principle [1] (instantaneous transmission of information between two locations is impossible) and macroscopic locality [2] (a macroscopic coarse-graining of quantum correlations can be explained classically). We apply the principle of IC to correlations arising in the simplest multipartite scenario It consists of three observers (Alice, Bob and Charlie), each performing two spacelike separated local measurements (x, y, z = 0, 1), with two possible outcomes (a, b, c = 0, 1), on their local systems. We present our results, namely we show how we are able to exclude all extremal nonlocal tripartite correlations using information-causality, except one. 2 results, specially on the need for a genuine multipartite physical principle
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