Testing quantum contextuality of continuous-variable states

G. McKeown, M.G.A. Paris, Mauro Paternostro

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8 Citations (Scopus)


We investigate the violation of noncontextuality by a class of continuous-variable states, including variations of entangled coherent states and a two-mode continuous superposition of coherent states. We generalize the Kochen-Specker (KS) inequality discussed by Cabello [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-Clauser-Horne-Shimony-Holt 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 pseudospin observables and a generalized quasiprobability function.
Original languageEnglish
Article number062105
Pages (from-to)062105
Number of pages1
JournalPhysical Review A
Issue number6
Publication statusPublished - 10 Jun 2011

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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