Multi-Component Bell Inequality and its Violation for Continuous Variable Systems
Quantum Physics
2009-11-10 v2
Abstract
Multi-component correlation functions are developed by utilizing d-outcome measurements. Based on the multi-component correlation functions, we propose a Bell inequality for bipartite d-dimensional systems. Violation of the Bell inequality for continuous variable (CV) systems is investigated. The violation of the original Einstein-Podolsky-Rosen state can exceed the Cirel'son bound, the maximal violation is 2.96981. For finite value of squeezing parameter, violation strength of CV states increases with dimension d. Numerical results show that the violation strength of CV states with finite squeezing parameter is stronger than that of original EPR state.
Keywords
Cite
@article{arxiv.quant-ph/0310102,
title = {Multi-Component Bell Inequality and its Violation for Continuous Variable Systems},
author = {Jing-Ling Chen and Chunfeng Wu and L. C. Kwek and D. Kaszlikowski and M. Zukowski and C. H. Oh},
journal= {arXiv preprint arXiv:quant-ph/0310102},
year = {2009}
}
Comments
5 pages and 1 figure, rewritten version, accepted by Phys. Rev. A