Bell's inequality for a single spin 1/2 particle and quantum contextuality
Quantum Physics
2015-06-26 v3
Abstract
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
Cite
@article{arxiv.quant-ph/9907030,
title = {Bell's inequality for a single spin 1/2 particle and quantum contextuality},
author = {Sayandeb Basu and Somshubhro Bandyopadhyay and Guruprasad Kar and Dipankar Home},
journal= {arXiv preprint arXiv:quant-ph/9907030},
year = {2015}
}
Comments
Latex, 7 pages, 2 Figs. published version with a note added to the proof