Multipartite omnidirectional generalized Bell inequality

A generalized Bell-Inequality and Decoherence for the KK̄-System

First a generalized Bell-inequality for different times and for different quasispin states is developed. We focus on special quasi-spin eigenstates and times. The inequality based on a local realistic theory is violated by the CP -violating parameter [1], if the quantum theory is used to recalculate the probabilities. Next the quantum mechanical probabilities are modified by the decoherence app...

Bell inequality for multipartite qubit quantum system and the maximal violation

Bell inequality, nonlocality and analyticity

The Bell and the Clauser-Horne-Shimony-Holt inequalities are shown to hold for both the cases of complex and real analytic nonlocality in the setting parameters of Einstein-Podolsky-Rosen-Bohm experiments for spin 12 particles and photons, in both the deterministic and stochastic cases. Therefore, the theoretical and experimental violation of the inequalities by quantum mechanics excludes all h...

Generalized Near-Bell Numbers

The nth near-Bell number, as defined by Beck, enumerates all possible partitions of an n-multiset with multiplicities 1, 1, 1, . . . , 1, 2. In this paper we study the sequences arising from a generalization of the near-Bell numbers, and provide a method for obtaining both their exponential and their ordinary generating functions. We derive various interesting relationships amongst both the gen...

Experimental violation of multipartite Bell inequalities with trapped ions.

We report on the experimental violation of multipartite Bell inequalities by entangled states of trapped ions. First, we consider resource states for measurement-based quantum computation of between 3 and 7 ions and show that all strongly violate a Bell-type inequality for graph states, where the criterion for violation is a sufficiently high fidelity. Second, we analyze Greenberger-Horne-Zeili...