Violation of Bell's inequality using classical measurements and non-linear local operations

Stobińska, Magdalena; Jeong, Hyunseok; Ralph, Timothy C.

Violation of Bell's inequality using classical measurements and non-linear local operations

Authors

Stobińska, Magdalena

Jeong, Hyunseok

Ralph, Timothy C.

Description

We find that Bell's inequality can be significantly violated (up to Tsirelson's bound) with two-mode entangled coherent states using only homodyne measurements. This requires Kerr nonlinear interactions for local operations on the entangled coherent states. Our example is a demonstration of Bell-inequality violations using classical measurements. We conclude that entangled coherent states with coherent amplitudes as small as 0.842 are sufficient to produce such violations.
6 pages, 5 figures, to be published in Phys. Rev. A