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I'm curious if someone could recommend some supplementary material for gaining a deeper understanding of the paper : "Some Results and Problems on Quantum Bell-Type Inequalities - Tsirelson".

Specifically something that may elaborate a tad more on the geometric interpretation of Bell-Type inequalities. Perhaps a primer paper or relevant textbook that goes into more detail on these matters. I'd appreciate any/all feedback. Thanks again.

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Werner and Wolf's paper "Bell inequalities and entanglement" (http://arxiv.org/abs/quant-ph/0107093) gives a brief and readable introduction and discussion of Bell inequalities as faces of correlation polytopes.

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This paper by Barrett et al. gives a fairly intuitive description of non-signalling correlations (what Tsirelson calls non-interacting systems). Sections II.A. and II.B.1. are the most useful and easy to read, the rest is more heavy stuff.

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I'd mention a recent review "From Bell Inequalities to Tsirelson's Theorem: A Survey" by David Avis, Sonoko Moriyama, Masaki Owari, IEICE Trans. Fund. Electron. Comm. Comput. Sci., vol. E92-A, No.5, pp.1254-1267, 2009 (here).

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  • $\begingroup$ At least, they have considered paper you cited, used a construction with Clifford algebra from that ... $\endgroup$
    – Alex 'qubeat'
    Jun 21, 2011 at 16:28
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I haven't read the paper you linked to but a must must read paper on Bell Inequalities is Hidden variables and the two theorems of John Bell by N. David Mermin.

He has written a lot on Bell Inequalities.

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