Bell's inequality for a single spin 1/2 particle and quantum contextuality

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  • 18 April 2000
Abstract
We argue that in the single particle case Bell's inequality is a consequence of noncontextuality. Its incompatibility with statistical predictions of quantum mechanics is shown. This enables to empirically falsify noncontextual models, independent of locality condition. For this purpose we invoke an appropriate entanglement between disjoint Hilbert spaces pertaining to translational and spin degrees of freedom of a single spin -1/2 particle. This scheme also provides a testable resolution of the debate sprouted by recent critiques of "no-go theorems" concerning noncontextuality.

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