Two proposals for testing quantum contextuality of continuous-variable states
Abstract
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.
Cite
@article{arxiv.1102.5297,
title = {Two proposals for testing quantum contextuality of continuous-variable states},
author = {Gerard McKeown and Matteo G. A. Paris and Mauro Paternostro},
journal= {arXiv preprint arXiv:1102.5297},
year = {2015}
}
Comments
7 pages, 2 figures, RevTeX4