Talk:Bell inequalities
From Encyclopedia of Mathematics
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 |
How to Cite This Entry:
Bell inequalities. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bell_inequalities&oldid=26495
Bell inequalities. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bell_inequalities&oldid=26495