Violating Bell inequalities maximally for two d-dimensional systems

Journal Article · Fri Sep 15 04:00:00 EDT 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.032106· OSTI ID:20857650

Jingling, Chen ^[1]; Chunfeng, Wu; Oh, C H ^[2]; Kwek, L C ^[2]; Molin, Ge ^[1]

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1. Theoretical Physics Division, Chern Institute of Mathematics, Center for Combinatorics and LPMC, Nankai University, Tianjin 300071 (China)
2. Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542 (Singapore)

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 |{psi}>{sub 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.

• OSTI ID: 20857650
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 74; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ASYMMETRY
BELL THEOREM
EIGENFUNCTIONS
EIGENVALUES
EIGENVECTORS
QUANTUM CRYPTOGRAPHY
QUANTUM ENTANGLEMENT
QUANTUM INFORMATION
QUANTUM MECHANICS
QUANTUM OPERATORS