Contextuality in Quantum Mechanics: Testing the Klyachko Inequality
Abstract
The Klyachko inequality is an inequality for the probabiities of the values of five observables of a spin-1 particle, which is satisfied by any noncontextual assignment of values to this set of observables, but is violated by the probabilities defined by a certain quantum state. We describe an experiment between two entangled spin-1 particles to test contextuality via a related inequality. We point out that a test of contextuality by measurements on a single particle to confirm the Klyachko inequality requires an assumption of non-disturbance by the measuring instrument, which is avoided in the two-particle experiment.
Keywords
Cite
@article{arxiv.1006.0500,
title = {Contextuality in Quantum Mechanics: Testing the Klyachko Inequality},
author = {Jeffrey Bub and Allen Stairs},
journal= {arXiv preprint arXiv:1006.0500},
year = {2010}
}
Comments
10 pages, 3 figures; revised version adds acknowledgment of independent work on the 2-particle experiment, and clarifies remarks re the 1-particle experiment and the argument re the 2-particle experiment in section 2