We investigate the violation of non-contextuality by a class of continuous variable {states}, including variations of entangled coherent states (ECS) and a two-mode continuous superposition of coherent states. We generalise the Kochen-Specker (KS) inequality discussed in A. Cabello, Phys. Rev. Lett. 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.
Testing quantum contextuality of continuous-variable states / G. Mc Keown, M. Paris, M. Paternostro. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 83:6(2011), pp. 062105.062105.1-062105.062105.9.
Testing quantum contextuality of continuous-variable states
M. ParisSecondo
;
2011
Abstract
We investigate the violation of non-contextuality by a class of continuous variable {states}, including variations of entangled coherent states (ECS) and a two-mode continuous superposition of coherent states. We generalise the Kochen-Specker (KS) inequality discussed in A. Cabello, Phys. Rev. Lett. 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.Pubblicazioni consigliate
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