Large-scale EPR correlation and gravitational waves backgrounds
Laboratoire Kastler Brossel - ENS, UPMC, CNRS - Campus Jussieu, F-75252 Paris, France, EU
2 Laboratoire de Physique Théorique - ENS, UPMC, CNRS - 24 rue Lhomond, F-75231 Paris, France, EU
Accepted: 2 June 2011
We study how quantum correlations survive at large scales in spite of their exposition to stochastic backgrounds of gravitational waves. We consider Einstein-Podolski-Rosen (EPR) correlations built up on the polarizations of photon pairs and evaluate how they are affected by the cosmic gravitational wave background (CGWB). We evaluate the quantum decoherence of the EPR correlations in terms of a reduction of the violation of the Bell inequality as written by Clauser, Horne, Shimony and Holt (CHSH). We show that this decoherence remains small and that EPR correlations can in principle survive up to the largest cosmic scales.
PACS: 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 03.65.Yz – Decoherence; open systems; quantum statistical methods / 04.30.-w – Gravitational waves
© EPLA, 2011