SCOPUS 정보 검색 플랫폼

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 2, 2009, Pages

Quantum bounds on Bell inequalities

(2) Pál, Károly F a Vértesi, Tamás a

a INSTITUTE OF EXPERIMENTAL MEDICINE (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

BELLS; QUANTUM OPTICS;

BELL INEQUALITIES; DETECTION THRESHOLDS; DIMENSIONAL SPACES; HIGH DIMENSIONALITIES; NUMERICAL OPTIMIZATIONS; UPPER BOUNDS;

HILBERT SPACES;

EID: 62549090212 PISSN: 10502947 EISSN: 10941622 Source Type: Journal
DOI: 10.1103/PhysRevA.79.022120 Document Type: Article

Times cited : (85)

References (58)

1
- 0000486090
- J. S. Bell, Physics 1, 195 (1964).
- (1964) Physics , vol.1 , pp. 195
- Bell, J.S.¹

2
- 36049056258
- 10.1103/PhysRevLett.23.880
- J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969). 10.1103/PhysRevLett.23.880
- (1969) Phys. Rev. Lett. , vol.23 , pp. 880
- Clauser, J.F.¹ Horne, M.A.² Shimony, A.³ Holt, R.A.⁴

3
- 30344460132
- 10.1103/PhysRevLett.47.460;
- A. Aspect, P. Grangier, and G. Roger, Phys. Rev. Lett. 47, 460 (1981) 10.1103/PhysRevLett.47.460
- (1981) Phys. Rev. Lett. , vol.47 , pp. 460
- Aspect, A.¹ Grangier, P.² Roger, G.³

4
- 11544318439
- 10.1103/PhysRevLett.81.5039;
- G. Weihs, T. Jennewein, C. Simon, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. 81, 5039 (1998) 10.1103/PhysRevLett.81.5039
- (1998) Phys. Rev. Lett. , vol.81 , pp. 5039
- Weihs, G.¹ Jennewein, T.² Simon, C.³ Weinfurter, H.⁴ Zeilinger, A.⁵

5
- 4243256974
- 10.1103/PhysRevLett.81.3563;
- W. Tittel, J. Brendel, H. Zbinden, and N. Gisin, Phys. Rev. Lett. 81, 3563 (1998) 10.1103/PhysRevLett.81.3563
- (1998) Phys. Rev. Lett. , vol.81 , pp. 3563
- Tittel, W.¹ Brendel, J.² Zbinden, H.³ Gisin, N.⁴

6
- 0035865069
- 10.1038/35057215
- M. A. Rowe, Nature (London) 409, 791 (2001). 10.1038/35057215
- (2001) Nature (London) , vol.409 , pp. 791
- Rowe, M.A.¹

7
- 0042027505
- 10.1007/BF01889686
- L. A. Khalfin and B. S. Tsirelson, Found. Phys. 22, 879 (1992). 10.1007/BF01889686
- (1992) Found. Phys. , vol.22 , pp. 879
- Khalfin, L.A.¹ Tsirelson, B.S.²

8
- 0242384600
- B. S. Tsirelson, Hadronic J. Suppl. 8, 329 (1993).
- (1993) Hadronic J. Suppl. , vol.8 , pp. 329
- Tsirelson, B.S.¹

9
- 62549102657
- B. S. Tsirelson, Problem 33, 2006; http://www.imaph.tubs.de/qi/problems.
- (2006)
- Tsirelson, B.S.¹

10
- 62549148801
- arXiv:quant-ph/0702021.
- N. Gisin, e-print arXiv:quant-ph/0702021.
- Gisin, N.¹

11
- 34250250611
- 10.1007/BF00417500
- B. S. Cirel'son, Lett. Math. Phys. 4, 93 (1980). 10.1007/BF00417500
- (1980) Lett. Math. Phys. , vol.4 , pp. 93
- Cirel'Son, B.S.¹

12
- 62549098339
- Symposium on the Foundations of Modern Physics, in edited by P. Lahti and P. Mittelstaedt (World Scientific, Singapore
- L. A. Khalfin and B. S. Tsirelson, Symposium on the Foundations of Modern Physics, in Quantum and Quasi-Classical Analogs of Bell Inequalities, edited by, P. Lahti, and, P. Mittelstaedt, (World Scientific, Singapore, 1985), pp. 441-460.
- (1985) Quantum and Quasi-Classical Analogs of Bell Inequalities , pp. 441-460
- Khalfin, L.A.¹ Tsirelson, B.S.²

13
- 21344488159
- 10.1007/BF02058098
- S. Popescu and D. Rohrlich, Found. Phys. 24, 379 (1994). 10.1007/BF02058098
- (1994) Found. Phys. , vol.24 , pp. 379
- Popescu, S.¹ Rohrlich, D.²

14
- 62549115064
- T. Ito, H. Imai, and D. Avis, List of Bell inequalities for at most five measurements per party via triangular elimination, 2006; www-imai.is.s.u-tokyo. ac.jp/tsuyoshi/bell/bell5.html
- (2006)
- Ito, T.¹ Imai, H.² Avis, D.³

15
- 28844487073
- 10.1088/0305-4470/38/50/007
- D. Avis, H. Imai, T. Ito, and Y. Sasaki, J. Phys. A 38, 10971 (2005). 10.1088/0305-4470/38/50/007
- (2005) J. Phys. A , vol.38 , pp. 10971
- Avis, D.¹ Imai, H.² Ito, T.³ Sasaki, Y.⁴

16
- 41649110824
- 10.1016/j.physleta.2008.01.052
- N. Brunner and N. Gisin, Phys. Lett. A 372, 3162 (2008). 10.1016/j.physleta.2008.01.052
- (2008) Phys. Lett. A , vol.372 , pp. 3162
- Brunner, N.¹ Gisin, N.²

17
- 52449147140
- 10.1007/BF02903286
- M. Froissart, Nuovo Cim., B 64, 241 (1981). 10.1007/BF02903286
- (1981) Nuovo Cim., B , vol.64 , pp. 241
- Froissart, M.¹

18
- 0142123245
- 10.1016/S0375-9601(03)01115-0
- C. Sliwa, Phys. Lett. A 317, 165 (2003). 10.1016/S0375-9601(03)01115-0
- (2003) Phys. Lett. A , vol.317 , pp. 165
- Sliwa, C.¹

19
- 1142265130
- 10.1088/0305-4470/37/5/021
- D. Collins and N. Gisin, J. Phys. A 37, 1775 (2004). 10.1088/0305-4470/ 37/5/021
- (2004) J. Phys. A , vol.37 , pp. 1775
- Collins, D.¹ Gisin, N.²

20
- 62549146365
- D. Collins (unpublished).
- Collins, D.¹

21
- 33646354911
- 10.1103/PhysRevA.73.042109
- T. Ito, H. Imai, and D. Avis, Phys. Rev. A 73, 042109 (2006). 10.1103/PhysRevA.73.042109
- (2006) Phys. Rev. A , vol.73 , pp. 042109
- Ito, T.¹ Imai, H.² Avis, D.³

22
- 42149143610
- 10.1103/PhysRevA.77.042105
- K. F. Pál and T. Vértesi, Phys. Rev. A 77, 042105 (2008). 10.1103/PhysRevA.77.042105
- (2008) Phys. Rev. A , vol.77 , pp. 042105
- Pál, K.F.¹ Vértesi, T.²

23
- 33846400098
- 10.1103/PhysRevLett.98.010401
- M. Navascués, S. Pironio, and A. Acín, Phys. Rev. Lett. 98, 010401 (2007). 10.1103/PhysRevLett.98.010401
- (2007) Phys. Rev. Lett. , vol.98 , pp. 010401
- Navascués, M.¹ Pironio, S.² Acín, A.³

24
- 47349117564
- 10.1088/1367-2630/10/7/073013
- M. Navascués, S. Pironio, and A. Acín, N. J. Phys. 10, 073013 (2008). 10.1088/1367-2630/10/7/073013
- (2008) N. J. Phys. , vol.10 , pp. 073013
- Navascués, M.¹ Pironio, S.² Acín, A.³

25
- 44649097176
- 10.1103/PhysRevLett.100.210503
- N. Brunner, S. Pironio, A. Acín, N. Gisin, A. A. Méthot, and V. Scarani, Phys. Rev. Lett. 100, 210503 (2008). 10.1103/PhysRevLett.100. 210503
- (2008) Phys. Rev. Lett. , vol.100 , pp. 210503
- Brunner, N.¹ Pironio, S.² Acín, A.³ Gisin, N.⁴ Méthot, A.A.⁵ Scarani, V.⁶

26
- 40249108249
- 10.1007/s00220-008-0418-4
- D. Pérez-García, M. M. Wolf, C. Palazuelos, I. Villanueva, and M. Junge, Commun. Math. Phys. 279, 455 (2008). 10.1007/s00220-008-0418-4
- (2008) Commun. Math. Phys. , vol.279 , pp. 455
- Pérez-García, D.¹ Wolf, M.M.² Palazuelos, C.³ Villanueva, I.⁴ Junge, M.⁵

27
- 58149160054
- 10.1103/PhysRevA.78.062112
- S. Wehner, M. Christandl, and A. C. Doherty, Phys. Rev. A 78, 062112 (2008). 10.1103/PhysRevA.78.062112
- (2008) Phys. Rev. A , vol.78 , pp. 062112
- Wehner, S.¹ Christandl, M.² Doherty, A.C.³

28
- 34547251039
- 10.1103/PhysRevLett.98.220403
- N. Brunner, N. Gisin, V. Scarani, and C. Simon, Phys. Rev. Lett. 98, 220403 (2007). 10.1103/PhysRevLett.98.220403
- (2007) Phys. Rev. Lett. , vol.98 , pp. 220403
- Brunner, N.¹ Gisin, N.² Scarani, V.³ Simon, C.⁴

29
- 62549101064
- www.atomki.hu/atomki/TheorPhys/Bell-violation/.

30
- 4944260870
- Proceedings of the 19th IEEE Annual Conference on Computational Complexity (CCC 2004) IEEE Computer Society, Amherst, MA
- R. Cleve, P. Høyer, B. Toner, and J. Watrous in Consequences and Limits of Nonlinear Strategies, Proceedings of the 19th IEEE Annual Conference on Computational Complexity (CCC 2004) (IEEE Computer Society, Amherst, MA, 2004), p. 236-239.
- (2004) Consequences and Limits of Nonlinear Strategies , pp. 236-239
- Cleve, R.¹ Høyer, P.² Toner, B.³ Watrous, J.⁴

31
- 34249926382
- 10.1007/BF01594946
- I. Pitowsky, Math. Program. 50, 395 (1991). 10.1007/BF01594946
- (1991) Math. Program. , vol.50 , pp. 395
- Pitowsky, I.¹

32
- 62549109305
- The program CDD by Komei Fukuda is a C++ implementation of the double description method of Motzkin
- The program CDD by Komei Fukuda is a C++ implementation of the double description method of Motzkin, which solves both the convex hull and vertex enumeration problems. www.cs.mcgill.ca/fukuda/soft/cdd-home/cdd.html.

33
- 41249086605
- Princeton University Press, Princeton, NJ
- T. S. Motzkin, H. Raiffa, G. L. Thompson, and R. M. Thrall, The Double Description Method, Contributions to Theory of Games (Princeton University Press, Princeton, NJ, 1953), Vol. 2.
- (1953) The Double Description Method , vol.2
- Motzkin, T.S.¹ Raiffa, H.² Thompson, G.L.³ Thrall, R.M.⁴

34
- 0003715220
- Lecture Notes in Physics Vol. Springer, Heidelberg
- I. Pitowsky, Quantum Probability, Quantum Logic, Lecture Notes in Physics Vol. 321 (Springer, Heidelberg, 1989).
- (1989) Quantum Probability, Quantum Logic , vol.321
- Pitowsky, I.¹

35
- 0002035316
- R. Seidel, STOC 86, 404 (1986).
- (1986) STOC , vol.86 , pp. 404
- Seidel, R.¹

36
- 0141754027
- Ll. Masanes, Quantum Inf. Comput. 3, 345 (2002).
- (2002) Quantum Inf. Comput. , vol.3 , pp. 345
- Masanes, Ll.¹

37
- 0000238336
- J. A. Nelder and R. Mead, Comput. J. 7, 308 (1965).
- (1965) Comput. J. , vol.7 , pp. 308
- Nelder, J.A.¹ Mead, R.²

38
- 0004161838
- 3rd ed. (Cambridge University Press, New York
- W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing, 3rd ed. (Cambridge University Press, New York, 2007).
- (2007) Numerical Recipes: The Art of Scientific Computing
- Press, W.H.¹ Teukolsky, S.A.² Vetterling, W.T.³ Flannery, B.P.⁴

39
- 62549087176
- arXiv:quant-ph/0611001.
- B. Toner and F. Verstraete, e-print arXiv:quant-ph/0611001.
- Toner, B.¹ Verstraete, F.²

40
- 62549096529
- American Mathematics Society, Providence, RI
- N. Ja, Vilenkin: Special Functions and the Theory of Group Representations, Trans. Math. Monographs (American Mathematics Society, Providence, RI, 1968), Vol. 22.
- (1968) Vilenkin: Special Functions and the Theory of Group Representations, Trans. Math. Monographs , vol.22
- Ja, N.¹

41
- 0030106462
- 10.1137/1038003
- L. Vandenberghe and S. Boyd, SIAM Rev. 38, 49 (1996). 10.1137/1038003
- (1996) SIAM Rev. , vol.38 , pp. 49
- Vandenberghe, L.¹ Boyd, S.²

42
- 0033295981
- Optimization Methods and Software Vol.
- B. Borchers, CSDP: A C Library for Semidefinite Programming, Optimization Methods and Software Vol. 11 (1999), p. 613, https://projects.coin-or.org/Csdp.
- (1999) CSDP: A C Library for Semidefinite Programming , vol.11 , pp. 613
- Borchers, B.¹

43
- 33144485876
- 10.1103/PhysRevA.73.022110
- S. Wehner, Phys. Rev. A 73, 022110 (2006). 10.1103/PhysRevA.73.022110
- (2006) Phys. Rev. A , vol.73 , pp. 022110
- Wehner, S.¹

44
- 0037185573
- 10.1103/PhysRevLett.88.040404
- D. Collins, N. Gisin, N. Linden, S. Massar, and S. Popescu, Phys. Rev. Lett. 88, 040404 (2002). 10.1103/PhysRevLett.88.040404
- (2002) Phys. Rev. Lett. , vol.88 , pp. 040404
- Collins, D.¹ Gisin, N.² Linden, N.³ Massar, S.⁴ Popescu, S.⁵

45
- 42149140158
- 10.1103/PhysRevA.77.042106
- T. Vértesi and K. F. Pál, Phys. Rev. A 77, 042106 (2008). 10.1103/PhysRevA.77.042106
- (2008) Phys. Rev. A , vol.77 , pp. 042106
- Vértesi, T.¹ Pál, K.F.²

46
- 51749083986
- Proceedings of the 23rd Annual IEEE Conference on Computational Complexity (CCC, 2008) (IEEE Computer Society, College Park, MD
- A. C. Doherty, Y.-C. Liang, B. Toner, and S. Wehner, Proceedings of the 23rd Annual IEEE Conference on Computational Complexity (CCC, 2008) (IEEE Computer Society, College Park, MD, 2008), p. 199-210.
- (2008)
- Doherty, A.C.¹ Liang, Y.-C.² Toner, B.³ Wehner, S.⁴

47
- 27144477301
- 10.1103/PhysRevLett.95.010503;
- J. Barrett, L. Hardy, and A. Kent, Phys. Rev. Lett. 95, 010503 (2005) 10.1103/PhysRevLett.95.010503
- (2005) Phys. Rev. Lett. , vol.95 , pp. 010503
- Barrett, J.¹ Hardy, L.² Kent, A.³

48
- 33748942504
- 10.1103/PhysRevLett.97.120405;
- A. Acín, N. Gisin, and Ll. Masanes, Phys. Rev. Lett. 97, 120405 (2006) 10.1103/PhysRevLett.97.120405
- (2006) Phys. Rev. Lett. , vol.97 , pp. 120405
- Acín, A.¹ Gisin, N.² Masanes, Ll.³

49
- 34547380185
- 10.1103/PhysRevLett.98.230501
- A. Acín, N. Brunner, N. Gisin, S. Massar, S. Pironio, and V. Scarani, Phys. Rev. Lett. 98, 230501 (2007). 10.1103/PhysRevLett.98.230501
- (2007) Phys. Rev. Lett. , vol.98 , pp. 230501
- Acín, A.¹ Brunner, N.² Gisin, N.³ Massar, S.⁴ Pironio, S.⁵ Scarani, V.⁶

50
- 0036878009
- 10.1103/PhysRevA.66.052112
- S. Massar, S. Pironio, J. Roland, and B. Gisin, Phys. Rev. A 66, 052112 (2002). 10.1103/PhysRevA.66.052112
- (2002) Phys. Rev. A , vol.66 , pp. 052112
- Massar, S.¹ Pironio, S.² Roland, J.³ Gisin, B.⁴

51
- 62549161077
- arXiv:0805.0387.
- J. H. Bigelow, e-print arXiv:0805.0387.
- Bigelow, J.H.¹

52
- 0041819684
- 10.1103/PhysRevLett.91.047903
- H. Buhrman, P. Høyer, S. Massar, and H. Röhrig, Phys. Rev. Lett. 91, 047903 (2003). 10.1103/PhysRevLett.91.047903
- (2003) Phys. Rev. Lett. , vol.91 , pp. 047903
- Buhrman, H.¹ Høyer, P.² Massar, S.³ Röhrig, H.⁴

53
- 0000770751
- 10.1103/PhysRevA.47.R747
- P. H. Eberhard, Phys. Rev. A 47, R747 (1993). 10.1103/PhysRevA.47.R747
- (1993) Phys. Rev. A , vol.47 , pp. 747
- Eberhard, P.H.¹

54
- 34547295056
- 10.1103/PhysRevLett.98.220402
- A. Cabello and J.-A. Larsson, Phys. Rev. Lett. 98, 220402 (2007). 10.1103/PhysRevLett.98.220402
- (2007) Phys. Rev. Lett. , vol.98 , pp. 220402
- Cabello, A.¹ Larsson, J.-A.²

55
- 19644362012
- 10.1103/PhysRevLett.93.130409
- R. García-Patrón, J. Fiurášek, N. J. Cerf, J. Wenger, R. Tualle-Brouri, and Ph. Grangier, Phys. Rev. Lett. 93, 130409 (2004). 10.1103/PhysRevLett.93.130409
- (2004) Phys. Rev. Lett. , vol.93 , pp. 130409
- García-Patrón, R.¹ Fiurášek, J.² Cerf, N.J.³ Wenger, J.⁴ Tualle-Brouri, R.⁵ Grangier, Ph.⁶

56
- 58549100757
- 10.1103/PhysRevA.79.012101
- M. Paternostro, H. Jeong, and T. C. Ralph, Phys. Rev. A 79, 012101 (2009). 10.1103/PhysRevA.79.012101
- (2009) Phys. Rev. A , vol.79 , pp. 012101
- Paternostro, M.¹ Jeong, H.² Ralph, T.C.³

57
- 59449086276
- 10.1103/PhysRevA.79.012112
- A. Acín, N. J. Cerf, A. Ferraro, and J. Nisen, Phys. Rev. A 79, 012112 (2009). 10.1103/PhysRevA.79.012112
- (2009) Phys. Rev. A , vol.79 , pp. 012112
- Acín, A.¹ Cerf, N.J.² Ferraro, A.³ Nisen, J.⁴

58
- 0001817392
- 10.1016/S0375-9601(99)00519-8
- N. Gisin and B. Gisin, Phys. Lett. A 260, 323 (1999). 10.1016/S0375-9601(99)00519-8
- (1999) Phys. Lett. A , vol.260 , pp. 323
- Gisin, N.¹ Gisin, B.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.