Two proposals for testing quantum contextuality of continuous-variable states

Details Two proposals for testing quantum contextuality of continuous-variable states Two proposals for testing quantum contextuality of continuous-variable states

2011-02-25

arxiv.org/abs/1102.5297v2

Phys. Rev. A 83, 062105 (2011)

Physics

Quantum Physics

7 pages, 2 figures, RevTeX4

Scientific paper

We investigate the violation of non-contextuality by a class of continuous variable states, including variations of entangled coherent states (ECS's) and a two-mode continuous superposition of coherent states. We generalise the Kochen-Specker (KS) inequality discussed in A. Cabello, Phys. Rev. Lett. {\bf 101}, 210401 (2008) by using effective bidimensional observables implemented through physical operations acting on continuous variable states, in a way similar to an approach to the falsification of Bell-CHSH inequalities put forward recently. We test for state-independent violation of KS inequalities under variable degrees of state entanglement and mixedness. We then demonstrate theoretically the violation of a KS inequality for any two-mode state by using pseudo-spin observables and a generalized quasi-probability function.

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