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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|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|WW}}|| Keyl, M.; Schlingemann, D.; Werner, R. F., "Infinitely entangled states," ''Quantum Inf. Comput.'' '''3''' (2003), no. 4, 281–306.  {{MR|2003567}}
+
|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|WW}}|| Peres, Asher; Terno, Daniel R., "Quantum information and relativity theory," ''Rev. Modern Phys.'' '''76''' (2004), no. 1, 93–123. {{MR|2116831}}
+
|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}}
 
|-
 
|-
|valign="top"|{{Ref|WW}}|| 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|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|WW}}|| 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}}
+
|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}}
 
|-
 
|-
|valign="top"|{{Ref|WW}}|| 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}}
+
|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}}
 
|-
 
|-
|valign="top"|{{Ref|WW}}|| 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}}
+
|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}}
 
|-
 
|-
|valign="top"|{{Ref|WW}}|| 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}}
+
|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}}
 
|-
 
|-
|valign="top"|{{Ref|WW}}|| Junge, M.; Palazuelos, C., "Large violation of Bell inequalities with low entanglement," ''Comm. Math. Phys.'' '''306''' (2011), no. 3, 695–746. {{MR|2825506}}
+
|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}}
 
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|valign="top"|{{Ref|WW}}||  {{MR|}}
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|valign="top"|{{Ref|}}||  {{MR|}}
 
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|valign="top"|{{Ref|WW}}|| {{MR|}}
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|valign="top"|{{Ref|}}|| {{MR|}}
 
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Revision as of 17:45, 12 May 2012

MSC|81P15|81P40,81R15,46L07

[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
[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
[T] Tsirelson, B. S., "Some results and problems on quantum Bell-type inequalities," Hadronic J. Suppl. 8 (1993), no. 4, 329–345. MR1254597
[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
[PT] Peres, Asher; Terno, Daniel R., "Quantum information and relativity theory," Rev. Modern Phys. 76 (2004), no. 1, 93–123. MR2116831
[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
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How to Cite This Entry:
Boris Tsirelson/sandbox1. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boris_Tsirelson/sandbox1&oldid=26485