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# Single-particle Bell-type Inequality

## Abstract

It is generally believed that Bell's inequality holds for the case of entangled states, including two correlated particles or special states of a single particle. Here, we derive a single-particle Bell's inequality for two correlated spin states at two successive times, appealing to the statistical independence condition in an ideal experiment, for a locally causal hidden variables theory. We show that regardless of the locality assumption, the inequality can be violated by some quantum predictions.Comment: 14 pages, 1 figure, Latex file, To appear in Annales de la Fondation Louis de Brogli