Position-momentum Bell nonlocality with entangled photon pairs

James Schneeloch, Samuel H. Knarr, Daniel J. Lum, John C. Howell

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Witnessing continuous-variable Bell nonlocality is a challenging endeavor, but Bell himself showed how one might demonstrate this nonlocality. Although Bell nearly showed a violation using the Clauser-Horne-Shimony-Holt (CHSH) inequality with sign-binned position-momentum statistics of entangled pairs of particles measured at different times, his demonstration is subject to approximations not realizable in a laboratory setting. Moreover, he does not give a quantitative estimation of the maximum achievable violation for the wave function he considers. In this article, we show how his strategy can be reimagined using the transverse positions and momenta of entangled photon pairs measured at different propagation distances, and we find that the maximum achievable violation for the state he considers is actually very small relative to the upper limit of 22. Although Bell's wave function does not produce a large violation of the CHSH inequality, other states may yet do so.

Original languageAmerican English
Article number012105
JournalPhysical Review A
Issue number1
StatePublished - 11 Jan 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 American Physical Society.


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