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Violating Bell inequalities maximally for two d-dimensional systems
Citation
Chen, J.-L., Wu, C., Kwek, L. C., Oh, C. H., & Ge, M.-L. (2006). Violating Bell inequalities maximally for two d-dimensional systems. Physical Review A, 74(3), Article 032106. https://doi.org/10.1103/PhysRevA.74.032106
Abstract
We show the maximal violation of Bell inequalities for two d-dimensional systems by using the method of the Bell operator. The maximal violation corresponds to the maximal eigenvalue of the Bell operator matrix. The eigenvectors corresponding to these eigenvalues are described by asymmetric entangled states. We estimate
the maximum value of the eigenvalue for large dimension. A family of elegant entangled states app that violate Bell inequality more strongly than the maximally entangled state but are somewhat close to these eigenvectors is presented. These approximate states can potentially be useful for quantum cryptography as well as many other important fields of quantum information.
Date Issued
2006
Publisher
American Physical Society
Journal
Physical Review A