Quantum correlations for arbitrarily high-dimensional Bell inequality

Details Quantum correlations for arbitrarily high-dimensional Bell inequality Quantum correlations for arbitrarily high-dimensional Bell inequality

2007-09-22

arxiv.org/abs/0709.3611v1

Physics

Quantum Physics

7 pages

Scientific paper

We analyze the correlation structure of bipartite arbitrary-dimensional Bell inequalities via novel conditions of correlations in terms of differences of joint probabilities called correlators. The conditions of correlations are shown to be necessary for the multi-level Bell state. In particular, we find that the bipartite arbitrary-dimensional Bell-type inequalities introduced by Collins-Gisin-Linden-Massar-Popescu [Phys. Rev. Lett. 88, 040404 (2002)] and Son-Lee-Kim [Phys. Rev. Lett. 96, 060406 (2006)] are composed of correlators, and we reveal that the maximal violations by the Bell state just fit the conditions of quantum correlations. Correlators can be considered as essential elements of Bell inequalities.

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