Generalized structure of Bell inequalities for bipartite arbitrary-dimensional systems
- Authors
- Lee, Seung Woo; Cheong, Yong Wook; Lee, Jinhyoung
- Issue Date
- Sep-2007
- Publisher
- AMER PHYSICAL SOC
- Citation
- PHYSICAL REVIEW A, v.76, no.3, pp.1 - 6
- Indexed
- SCIE
SCOPUS
- Journal Title
- PHYSICAL REVIEW A
- Volume
- 76
- Number
- 3
- Start Page
- 1
- End Page
- 6
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/179634
- DOI
- 10.1103/PhysRevA.76.032108
- ISSN
- 1050-2947
- Abstract
- We propose a generalized structure of Bell inequalities for arbitrary d-dimensional bipartite systems, which includes the existing two types of Bell inequalities introduced by Collins et al. [Phys. Rev. Lett. 88, 040404 (2002)] and Son et al. [Phys. Rev. Lett. 96, 060406 (2006)]. We analyze Bell inequalities in terms of correlation functions and joint probabilities, and show that the coefficients of correlation functions and those of joint probabilities are in Fourier transform relations. We finally show that the coefficients in the generalized structure determine the characteristics of quantum violation and tightness.
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