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

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

1999-07-08

arxiv.org/abs/quant-ph/9907030v3

Phys. Lett. A Vol. 279 issue 5-6 pp. 281-286

Physics

Quantum Physics

Latex, 7 pages, 2 Figs. published version with a note added to the proof

Scientific paper

We argue that for a \emph{single particle} Bell's inequality is a consequence of noncontextuality and is \emph{incompatible} with statistical predictions of quantum mechanics. Thus noncontextual models can be empirically falsified, \emph{independent} of locality condition. For this an appropriate entanglement between \emph{disjoint} Hilbert spaces pertaining to translational and spin degrees of freedom of a single spin-1/2 particle is invoked

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