THE EXPERIMENTS OF CLAUSER AND OF HOLT

Libin Fu, Jing‐Ling Chen, Xian-Geng Zhao

The Bell--Clauser-Horne-Shimony-Holt (BCHSH) inequality (in terms of correlation functions) of two qutrits is studied in detail by employing tritter measurements. A uniform formula for the maximum value of this inequality for tritter measurements is obtained. Based on this formula, we show that nonmaximally entangled states violate the BCHSH inequality more strongly than the maximally entangled one. This result is consistent with what was obtained by Ac\'{\i}n et al. [Phys. Rev. A $65,$ 052325 (2002)] using the Bell--Clauser-Horne inequality (in terms of probabilities).

Jerry B. Marion, J. L. Fowler

Juuso Manninen, Muhammad Asjad, Risto Ojajärvi +2 more

We propose here a scheme based on the measurement of quadrature phase coherence that is aimed at testing the Clauser-Horne-Shimony-Holt Bell inequality in an optomechanical setting. Our setup is constituted by two optical cavities dispersively coupled to a common mechanical resonator. We show that it is possible to generate Einstein-Podolsky-Rosen--like correlations between the quadratures of the output fields of the two cavities and, depending on the system parameters, to observe the violation of the Clauser-Horne-Shimony-Holt inequality.

M. Ardehali

A Bell inequality is derived from locality and a supplementary assumption. This inequality requires the measurements of only two detection probabilities and has a larger signal to noise ratio than Clauser-Horne-Shimony-Holt inequality.

Franz Schwabl