A Bell Inequality Analog in Quantum Measure Theory

@inproceedings{Craig2006ABI,
title={A Bell Inequality Analog in Quantum Measure Theory},
author={David Craig and Fay Dowker and J. Henson and S. Roland Major and David Rideout and Rafael D. Sorkin},
year={2006}
}

One obtains Bell’s inequalities if one posits a hypothetical joint probability distribution, or measure, whose marginals yield the probabilities produced by the spin measurements in question. The existence of a joint measure is in turn equivalent to a certain local causality condition known as “screening off”. We show that if one assumes, more generally, a joint quantal measure, or “decoherence functional”, one obtains instead an analogous inequality weaker by a factor of √ 2. The proof of this… CONTINUE READING