dorsal/arxiv
View SchemaA generalized structure of Bell inequalities for bipartite arbitrary dimensional systems
| Authors | Seung-Woo Lee, Yong Wook Cheong, Jinhyoung Lee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512176 |
| URL | https://arxiv.org/abs/quant-ph/0512176 |
| DOI | 10.1103/PhysRevA.76.032108 |
| Journal | Phys. Rev. A 76, 032108 (2007) |
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-Gisin-Linden-Massar-Popescu [Phys. Rev. Lett. 88, 040404 (2002)] and Son-Lee-Kim [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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"abstract": "We propose a generalized structure of Bell inequalities for arbitrary\nd-dimensional bipartite systems, which includes the existing two types of Bell\ninequalities introduced by Collins-Gisin-Linden-Massar-Popescu [Phys. Rev.\nLett. 88, 040404 (2002)] and Son-Lee-Kim [Phys. Rev. Lett. 96, 060406 (2006)].\nWe analyze Bell inequalities in terms of correlation functions and joint\nprobabilities, and show that the coefficients of correlation functions and\nthose of joint probabilities are in Fourier transform relations. We finally\nshow that the coefficients in the generalized structure determine the\ncharacteristics of quantum violation and tightness.",
"arxiv_id": "quant-ph/0512176",
"authors": [
"Seung-Woo Lee",
"Yong Wook Cheong",
"Jinhyoung Lee"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.76.032108",
"journal_ref": "Phys. Rev. A 76, 032108 (2007)",
"title": "A generalized structure of Bell inequalities for bipartite arbitrary dimensional systems",
"url": "https://arxiv.org/abs/quant-ph/0512176"
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