EPR-Bell Tests with Unsharp Observables and Relativistic Quantum Measurement
Abstract
In this contribution I will review the analysis of the Einstein-Podolsky-Rosen argument, Bell's inequalities and of associated experiments for spins in terms of positive operator valued measures. Specifically, I will explore the relation between the Clauser-Horne-Shimony-Holt inequality and a fundamental \emph{classicality} property of observables -- their \emph{coexistence}. A derivation of Bell's inequalities for unsharp spins will be given which follows a reconstruction by Mittelstaedt and Stachow of the original EPR argument. In this context we discuss the need for a consistent relativistic description of localised measurements, carried out in spacelike separated regions of spacetime on spatially extended, entangled systems.
Cite
@article{arxiv.quant-ph/0110023,
title = {EPR-Bell Tests with Unsharp Observables and Relativistic Quantum Measurement},
author = {P. Busch},
journal= {arXiv preprint arXiv:quant-ph/0110023},
year = {2011}
}
Comments
20 pages LaTeX. Contribution to NATO Advanced Research Workshop "Modality, Probability, and Bell's Theorem", Cracow, Poland, 19.-23.8.01