Contextuality in Quantum Mechanics: Testing the Klyachko Inequality

Details Contextuality in Quantum Mechanics: Testing the Klyachko Inequality Contextuality in Quantum Mechanics: Testing the Klyachko Inequality

2010-06-02

arxiv.org/abs/1006.0500v2

Physics

Quantum Physics

10 pages, 3 figures; revised version adds acknowledgment of independent work on the 2-particle experiment, and clarifies remar

Scientific paper

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.

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