<p><a href="http://arxiv.org/abs/quant-ph/0404097" rel="nofollow">This paper</a> 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.</p>

CC BY-SA 3.0
2011-06-21T15:13:20.940Z
2011-06-21T15:13:20.940Z
lamontap
<p>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 (<a href="http://arxiv.org/abs/0812.4887">here</a>).</p>

CC BY-SA 3.0
2011-06-21T16:28:39.770Z
At least, they have considered paper you cited, used a construction with Clifford algebra from that ...
Alex 'qubeat'
CC BY-SA 3.0
2011-06-21T10:05:53.297Z
2011-06-21T12:56:24.287Z
2011-06-21T12:56:24.287Z
Alex 'qubeat'
<p>I haven't read the paper you linked to but a must must read paper on Bell Inequalities is 
<a href="http://rmp.aps.org/abstract/RMP/v65/i3/p803_1" rel="nofollow"><strong>Hidden variables and the two theorems of John Bell <em>by N. David Mermin</em></strong></a>.</p>

<p>He has written <a href="http://scholar.google.co.in/scholar?client=ubuntu&amp;channel=cs&amp;q=n%20david%20mermin&amp;um=1&amp;ie=UTF-8&amp;sa=N&amp;hl=en&amp;tab=ws" rel="nofollow">a lot on Bell Inequalities</a>. </p>

CC BY-SA 3.0
2011-06-20T20:36:07.040Z
2011-06-20T20:36:07.040Z
Pratik Deoghare
<p>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.</p>

CC BY-SA 3.0
2011-06-21T17:46:36.147Z
2011-06-21T17:46:36.147Z
Marcin Kotowski
<p>I'm curious if someone could recommend some supplementary material for gaining a deeper understanding of the paper : "<a href="http://www.tau.ac.il/~tsirel/download/hadron.html" rel="nofollow">Some Results and Problems on Quantum Bell-Type Inequalities - Tsirelson</a>". </p>

<p>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.    </p>

<reference-request><quantum-computing><quantum-information>
Quantum Bell-Type Inequalities
Vincent Russo
# Quantum Bell-Type Inequalities

(Asked by: username_0 on 2011-06-20)

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](http://www.tau.ac.il/~tsirel/download/hadron.html)".

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.

**Tags:** reference-request, quantum-computing, quantum-information

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## 4 answers

### Answer by username_4 on 2011-06-21. Score: 6 | Accepted answer

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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### Answer by username_1 on 2011-06-21. Score: 6

[This paper](http://arxiv.org/abs/quant-ph/0404097) 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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### Answer by username_2 on 2011-06-21. Score: 5

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](http://arxiv.org/abs/0812.4887)).

> **Comments:**
> **username_2**: At least, they have considered paper you cited, used a construction with Clifford algebra from that ...  

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### Answer by username_3 on 2011-06-20. Score: 4

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***](http://rmp.aps.org/abstract/RMP/v65/i3/p803_1).

He has written [a lot on Bell Inequalities](http://scholar.google.co.in/scholar?client=ubuntu&channel=cs&q=n%20david%20mermin&um=1&ie=UTF-8&sa=N&hl=en&tab=ws).


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