Relevant multi-setting tight Bell inequalities for qubits and qutrits
- Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071 (China)
- College of Mathematics, Nankai University, Tianjin 300071 (China)
In the celebrated paper [D. Collins, N. Gisin, J. Phys. A Math. Gen. 37 (2004) 1775], Collins and Gisin presented for the first time a three-setting Bell inequality (here we call it CG inequality for simplicity) which is relevant to the Clauser-Horne-Shimony-Holt (CHSH) inequality. Inspired by their brilliant ideas, we obtained some multi-setting tight Bell inequalities, which are relevant to the CHSH inequality and the CG inequality. Moreover, we generalized the method in the paper [J.L. Chen, D.L. Deng, Phys. Rev. A 79 (2009) 012115] to construct Bell inequality for qubits to higher dimensional system. Based on the generalized method, we present, for the first time, a three-setting tight Bell inequality for two qutrits, which is maximally violated by nonmaximally entangled states and relevant to the Collins-Gisin-Linden-Massar-Popescu inequality.
- OSTI ID:
- 21308086
- Journal Information:
- Annals of Physics (New York), Vol. 324, Issue 9; Other Information: DOI: 10.1016/j.aop.2009.05.002; PII: S0003-4916(09)00098-0; Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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