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.) --Boris Tsirelson 20:34, 12 May 2012 (CEST)

Physical origin, early theory

Historic

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

Non-technical

[M]	Mermin, N. David, "Is the Moon there when nobody looks? Reality and the quantum theory", Physics Today 38 (4) (1985), 38–47.
[B]	Bell, J.S., "Bertlmann's socks and the nature of reality", J. Phys. Colloques 42 (C2) (1981), 41–62.
[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. MR0806550
[B]	Bell, J. S., "Speakable and unspeakable in quantum mechanics. Collected papers on quantum philosophy", Cambridge University Press, Cambridge, 1987 MR0915338
[P]	Peres, Asher, "Existence of "free will" as a problem of physics", Foundations of Physics 16 (6) (1986), 573–584.

Technical

[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. MR0781026
[T]	Tsirelson, B. S., "Some results and problems on quantum Bell-type inequalities," Hadronic J. Suppl. 8 (1993), no. 4, 329–345. MR1254597
[PT]	Peres, Asher; Terno, Daniel R., "Quantum information and relativity theory," Rev. Modern Phys. 76 (2004), no. 1, 93–123. MR2116831
[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

[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. MR1767459
[WW]	Werner, Reinhard F.; Wolf, Michael M., "Bell inequalities and entanglement," Quantum Inf. Comput. 1 (2001), no. 3, 1–25. MR1907485
[KSW]	Keyl, M.; Schlingemann, D.; Werner, R. F., "Infinitely entangled states," Quantum Inf. Comput. 3 (2003), no. 4, 281–306. MR2003567
[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. MR2189159
[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. MR2383595
[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. MR2653547
[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. MR2736960
[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. MR2790067
[JP]	Junge, M.; Palazuelos, C., "Large violation of Bell inequalities with low entanglement," Comm. Math. Phys. 306 (2011), no. 3, 695–746. MR2825506