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Volumn 39, Issue 36, 2006, Pages 11283-11299

On the relationship between convex bodies related to correlation experiments with dichotomic observables

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EID: 33747593858     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/36/010     Document Type: Article
Times cited : (57)

References (37)
  • 1
    • 84987047463 scopus 로고
    • 1 embeddability, complexity and multicommodity flows
    • 1 embeddability, complexity and multicommodity flows Networks 21 595-617
    • (1991) Networks , vol.21 , Issue.6 , pp. 595-617
    • Avis, D.1    Deza, M.2
  • 2
    • 28844487073 scopus 로고    scopus 로고
    • Two-party Bell inequalities derived from combinatorics via triangular elimination
    • Avis D, Imai H, Ito T and Sasaki Y 2005 Two-party Bell inequalities derived from combinatorics via triangular elimination J. Phys. A: Math. Gen. 38 10971-87 (Preprint quant-ph/0505060)
    • (2005) J. Phys. A: Math. Gen. , vol.38 , Issue.50 , pp. 10971-10987
    • Avis, D.1    Imai, H.2    Ito, T.3    Sasaki, Y.4
  • 7
    • 0035601976 scopus 로고    scopus 로고
    • Decomposition and parallelization techniques for enumerating the facets of combinatorial polytopes
    • Christof T and Reinelt G 2001 Decomposition and parallelization techniques for enumerating the facets of combinatorial polytopes Int. J. Comput. Geom. Appl. 11 423-37
    • (2001) Int. J. Comput. Geom. Appl. , vol.11 , Issue.4 , pp. 423-437
    • Christof, T.1    Reinelt, G.2
  • 8
    • 34250250611 scopus 로고
    • Quantum generalizations of Bell's inequality
    • Cirel'son B S 1980 Quantum generalizations of Bell's inequality Lett. Math. Phys. 4 93-100
    • (1980) Lett. Math. Phys. , vol.4 , Issue.2 , pp. 93-100
    • Cirel'Son, B.S.1
  • 9
    • 36049056258 scopus 로고
    • Proposed experiment to test local hidden-variable theories
    • Clauser J F, Horne M A, Shimony A and Holt R A 1969 Proposed experiment to test local hidden-variable theories Phys. Rev. Lett. 23 880-4
    • (1969) Phys. Rev. Lett. , vol.23 , Issue.15 , pp. 880-884
    • Clauser, J.F.1    Horne, M.A.2    Shimony, A.3    Holt, R.A.4
  • 11
    • 1142265130 scopus 로고    scopus 로고
    • A relevant two qubit Bell inequality inequivalent to the CHSH inequality
    • Collins D and Gisin N 2004 A relevant two qubit Bell inequality inequivalent to the CHSH inequality J. Phys. A: Math. Gen. 37 1775-87 (Preprint quant-ph/0306129)
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.5 , pp. 1775-1787
    • Collins, D.1    Gisin, N.2
  • 12
    • 0025493330 scopus 로고
    • Lifting facets of the cut polytope
    • De Simone C 1990 Lifting facets of the cut polytope Oper. Res. Lett. 9 341-4
    • (1990) Oper. Res. Lett. , vol.9 , Issue.5 , pp. 341-344
    • De Simone, C.1
  • 14
    • 52449147140 scopus 로고
    • Constructive generalization of Bell's inequalities
    • Froissart M 1981 Constructive generalization of Bell's inequalities Nuovo Cimento B 64 241-51
    • (1981) Nuovo Cimento , vol.64 , pp. 241-251
    • Froissart, M.1
  • 16
    • 33747616754 scopus 로고    scopus 로고
    • Fukuda K cdd. URL http://www.ifor.math.ethz.ch/∼fukuda/cddhome/cdd. html
    • Fukuda, K.1
  • 17
    • 33747603771 scopus 로고    scopus 로고
    • Bell inequalities holding for all quantum states
    • Gill R 2005 Bell inequalities holding for all quantum states Some Open Problems in Quantum Information Theory ed O Krüger and R F Werner (Preprint quant-ph/0504166) Problem 26. See also http://www.imaph.tu-bs.de/qi/problems/ 26.html
    • (2005) Some Open Problems in Quantum Information Theory
    • Gill, R.1
  • 18
    • 33747619942 scopus 로고    scopus 로고
    • Gisin N 2005 private communication
    • (2005)
    • Gisin, N.1
  • 19
    • 84893574327 scopus 로고
    • Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
    • Goemans M X and Williamson D P 1995 Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming J. Assoc. Comput. Mach. 42 1115-45
    • (1995) J. Assoc. Comput. Mach. , vol.42 , Issue.6 , pp. 1115-1145
    • Goemans, M.X.1    Williamson, D.P.2
  • 20
    • 0002975215 scopus 로고
    • Résumé de la théorie métrique des produits tensoriels topologiques
    • Grothendieck A 1953 Résumé de la théorie métrique des produits tensoriels topologiques Bol. Soc. Mat. So Paulo 8 1-79
    • (1953) Bol. Soc. Mat. so Paulo , vol.8 , pp. 1-79
    • Grothendieck, A.1
  • 21
    • 33646354911 scopus 로고    scopus 로고
    • Bell inequalities stronger than the Clauser-Horne-Shimony-Holt inequality for three-level isotropic states
    • Ito T, Imai H and Avis D 2006 Bell inequalities stronger than the Clauser-Horne-Shimony-Holt inequality for three-level isotropic states Phys. Rev. A 73 042109 (Preprint quant-ph/0508210)
    • (2006) Phys. Rev. , vol.73 , pp. 042109
    • Ito, T.1    Imai, H.2    Avis, D.3
  • 22
    • 0041065062 scopus 로고
    • Constantes de Grothendieck et fonctions de type positif sur les sphères
    • Krivine J L 1979 Constantes de Grothendieck et fonctions de type positif sur les sphères Adv. Math. 31 16-30
    • (1979) Adv. Math. , vol.31 , Issue.1 , pp. 16-30
    • Krivine, J.L.1
  • 23
    • 0039506352 scopus 로고    scopus 로고
    • The real positive semidefinite completion problem for series-parallel graphs
    • Laurent M 1997 The real positive semidefinite completion problem for series-parallel graphs Linear Algebra Appl. 252 347-66
    • (1997) Linear Algebra Appl. , vol.252 , Issue.1-3 , pp. 347-366
    • Laurent, M.1
  • 24
    • 4243480492 scopus 로고
    • On a positive semidefinite relaxation of the cut polytope
    • Laurent M and Poljak S 1995 On a positive semidefinite relaxation of the cut polytope Linear Algebra Appl. 224 439-61
    • (1995) Linear Algebra Appl. , vol.223-224 , pp. 439-461
    • Laurent, M.1    Poljak, S.2
  • 25
    • 0141754027 scopus 로고    scopus 로고
    • Tight Bell inequality for d-outcome measurements correlations
    • Masanes L 2003 Tight Bell inequality for d-outcome measurements correlations Quantum Inform. Comput. 3 345-58 (Preprint quant-ph/0210073)
    • (2003) Quantum Inform. Comput. , vol.3 , Issue.4 , pp. 345-358
    • Masanes, L.1
  • 26
    • 33747607350 scopus 로고    scopus 로고
    • McKay B nauty URL http://cs.anu.edu.au/∼bdm/nauty/
    • McKay, B.1
  • 27
    • 0024718137 scopus 로고
    • The Boolean quadric polytope: Some characteristics, facets and relatives
    • Padberg M 1989 The Boolean quadric polytope: some characteristics, facets and relatives Math. Program. 45 139-72
    • (1989) Math. Program. , vol.45 , Issue.1-3 , pp. 139-172
    • Padberg, M.1
  • 28
    • 21844476437 scopus 로고    scopus 로고
    • Lifting Bell inequalities
    • Pironio S 2005 Lifting Bell inequalities J. Math. Phys. 46 062112 (Preprint quant-ph/0503179)
    • (2005) J. Math. Phys. , vol.46 , pp. 062112
    • Pironio, S.1
  • 29
    • 1642380341 scopus 로고
    • The range of quantum probability
    • Pitowsky I 1986 The range of quantum probability J. Math. Phys. 27 1556-65
    • (1986) J. Math. Phys. , vol.27 , Issue.6 , pp. 1556-1565
    • Pitowsky, I.1
  • 30
    • 34249926382 scopus 로고
    • Correlation polytopes: Their geometry and complexity
    • Pitowsky I 1991 Correlation polytopes: Their geometry and complexity Math. Program. 50 395-414
    • (1991) Math. Program. , vol.50 , Issue.1-3 , pp. 395-414
    • Pitowsky, I.1
  • 31
    • 33646221992 scopus 로고    scopus 로고
    • Range theorems for quantum probability and entanglement
    • Pitowsky I 2002 Range theorems for quantum probability and entanglement. Quantum Theory: Reconsideration of Foundations pp 299-308 (Preprint quant-ph/0112068)
    • (2002) Quantum Theory: Reconsideration of Foundations , pp. 299-308
    • Pitowsky, I.1
  • 34
    • 0242384600 scopus 로고
    • Some results and problems on quantum Bell-type inequalities
    • Tsirelson B S 1993 Some results and problems on quantum Bell-type inequalities Hadronic J. Suppl. 8 329-45
    • (1993) Hadronic J. Suppl. , vol.8 , pp. 329-345
    • Tsirelson, B.S.1
  • 35
    • 0003054911 scopus 로고
    • Quantum analogues of the Bell inequalities: The case of two spatially separated domains
    • Tsirel'son B S 1987 Quantum analogues of the Bell inequalities: the case of two spatially separated domains J. Sov. Math. 36 557-70
    • (1987) J. Sov. Math. , vol.36 , Issue.4 , pp. 557-570
    • Tsirel'Son, B.S.1
  • 36
    • 0035440378 scopus 로고    scopus 로고
    • All-multipartite Bell-correlation inequalities for two dichotomic observables per site
    • Werner R F and Wolf M M 2001 All-multipartite Bell-correlation inequalities for two dichotomic observables per site Phys. Rev. A 64 032112 (Preprint quant-ph/0102024)
    • (2001) Phys. Rev. , vol.64 , Issue.3 , pp. 032112
    • Werner, R.F.1    Wolf, M.M.2


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