View source for Talk:Bell inequalities

The article is rather obsolete. Dramatic progress of last years should be incorporated. Here is some relevant literature. (Still, not all subtopics are covered by the list below.) --[[User:Boris Tsirelson|Boris Tsirelson]] 20:34, 12 May 2012 (CEST)

===Physical origin, early theory===

====Historic====

{|
|valign="top"|{{Ref|EPR}}|| Einstein, Albert; Podolsky, Boris; Rosen, Nathan , "Can quantum-mechanical description of physical reality be considered complete?", ''Physical Review'' '''47''' (1935), 777–780.
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|valign="top"|{{Ref|B}}|| Bell, J. S. , "On the Einstein Podolsky Rosen paradox", ''Physics'' '''1''' (3) (1964), 195–200.
|}

====Non-technical====

{|
|valign="top"|{{Ref|M}}|| Mermin, N. David,  "Is the Moon there when nobody looks? Reality and the quantum theory", ''Physics Today'' '''38''' (4) (1985), 38–47.
|-
|valign="top"|{{Ref|B}}|| Bell, J.S., "Bertlmann's socks and the nature of reality", ''J. Phys. Colloques'' '''42''' (C2) (1981), 41–62. 
|-
|valign="top"|{{Ref|BSHC}}|| Bell, J. S.; Shimony, A.; Horne, M. A.; Clauser, J. F., "An exchange on local beables. Hidden variables and quantum uncertainty," ''Dialectica'' '''39''' (1985), no. 2, 85–110.  {{MR|0806550}}
|-
|valign="top"|{{Ref|B}}|| Bell, J. S., "Speakable and unspeakable in quantum mechanics. Collected papers on quantum philosophy", Cambridge University Press, Cambridge, 1987 {{MR|0915338}}
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|valign="top"|{{Ref|P}}|| Peres, Asher, "Existence of "free will" as a problem of physics", ''Foundations of Physics'' '''16''' (6)  (1986), 573–584.
|}

====Technical====

{|
|valign="top"|{{Ref|G}}|| Garg, Anupam; Mermin, N. D., "Farkas's lemma and the nature of reality: statistical implications of quantum correlations", ''Found. Phys.'' '''14''' (1984), no. 1, 1–39.   {{MR|0781026}}
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|valign="top"|{{Ref|T}}|| Tsirelson, B. S., "Some results and problems on quantum Bell-type inequalities," ''Hadronic J. Suppl.'' '''8''' (1993), no. 4, 329–345. {{MR|1254597}}
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|valign="top"|{{Ref|PT}}|| Peres, Asher; Terno, Daniel R., "Quantum information and relativity theory," ''Rev. Modern Phys.'' '''76''' (2004), no. 1, 93–123. {{MR|2116831}}
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|valign="top"|{{Ref|PT}}|| D. Avis, S. Moriyama, M. Owari, "From Bell inequalities to Tsirelson's theorem," ''IEICE Transactions'' '''E92-A''':5 (2009), 1254-1267.
|}

===Advanced mathematical theory===

{|
|valign="top"|{{Ref|WW}}|| Werner, R. F.; Wolf, M. M., "Bell's inequalities for states with positive partial transpose," ''Phys. Rev. A'' (3) '''61''' (2000), no. 6, 062102, 4 pp.  {{MR|1767459}}
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|valign="top"|{{Ref|WW}}|| Werner, Reinhard F.; Wolf, Michael M., "Bell inequalities and entanglement," ''Quantum Inf. Comput.'' '''1''' (2001), no. 3, 1–25. {{MR|1907485}}
|-
|valign="top"|{{Ref|KSW}}|| Keyl, M.; Schlingemann, D.; Werner, R. F., "Infinitely entangled states," ''Quantum Inf. Comput.'' '''3''' (2003), no. 4, 281–306.  {{MR|2003567}}
|-

|valign="top"|{{Ref|S}}|| Szarek, Stanislaw J., "Volume of separable states is super-doubly-exponentially small in the number of qubits," ''Phys. Rev. A'' (3) '''72''' (2005), no. 3, part A, 032304, 10 pp.  {{MR|2189159}}
|-
|valign="top"|{{Ref|PWPVJ}}|| Pérez-García, D.; Wolf, M. M.; Palazuelos, C.; Villanueva, I.; Junge, M., "Unbounded violation of tripartite Bell inequalities," ''Comm. Math. Phys.'' '''279''' (2008), no. 2, 455–486. {{MR|2383595}}
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|valign="top"|{{Ref|JPPVW}}|| Junge, M.; Palazuelos, C.; Pérez-García, D.; Villanueva, I.; Wolf, M. M., "Operator space theory: a natural framework for Bell inequalities," ''Phys. Rev. Lett.'' '''104''' (2010), no. 17, 170405, 4 pp.  {{MR|2653547}}
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|valign="top"|{{Ref|JPPVW2}}|| Junge, M.; Palazuelos, C.; Pérez-García, D.; Villanueva, I.; Wolf, M. M., "Unbounded violations of bipartite Bell inequalities via operator space theory," ''Comm. Math. Phys.'' '''300''' (2010), no. 3, 715–739.  {{MR|2736960}}
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|valign="top"|{{Ref|JNPPSW}}|| Junge, M.; Navascues, M.; Palazuelos, C.; Perez-Garcia, D.; Scholz, V. B.; Werner, R. F., "Connes embedding problem and Tsirelson's problem," ''J. Math. Phys.'' '''52''' (2011), no. 1, 012102, 12 pp. {{MR|2790067}}
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|valign="top"|{{Ref|JP}}|| Junge, M.; Palazuelos, C., "Large violation of Bell inequalities with low entanglement," ''Comm. Math. Phys.'' '''306''' (2011), no. 3, 695–746. {{MR|2825506}}
|}