Testing quantum contextuality of continuous-variable states

Journal Article · Wed Jun 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.062105· OSTI ID:21550030

McKeown, Gerard; Paternostro, Mauro ^[1]; Paris, Matteo G. A. ^[2]

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1. School of Mathematics and Physics, Queen's University, Belfast, BT7 1NN (United Kingdom)
2. Dipartimento di Fisica, Universita degli Studi di Milano, I-20133 Milan (Italy)

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.

• OSTI ID: 21550030
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 83; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNIHILATION OPERATORS
EIGENSTATES
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
PROBABILITY
QUANTUM ENTANGLEMENT
QUANTUM OPERATORS
VARIATIONS