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With the help of Svetlichny's inequality, we obtain an analytical expression of the quantum nonlocality for generalized Greenberger-Horne-Zeilinger(GHZ) state composed of a (GHZ) state and a W state. The numerical results between tripartite entanglement and nonlocality for generalized GHZ state are discussed.
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Keywords:
- generalized GHZ state /
- residual entanglement /
- Svetlichnys inequality quantum /
- nonlocality
[1] Einstein A, Podolsky B, Rosen N 1935 Phys. Rev. 47 777
[2] Bell J S 1964 Physics 1 195
[3] [4] [5] Bell J S 1987 Speakable and Unspeakable in Quantum Mechanics Cambridge (Cambridge:Univ. Press)
[6] [7] Clauser J F, Horne M A, Shimony A, Holt R A 1969 Phys. Rev. Lett. 23 880
[8] Ardehali M 1992 Phys. Rev. A 46 5375
[9] [10] Klyshko D N 1993 Phys. Lett. A 172 399
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[14] Zukowski M, Kaszlikowski D 1997 Phys. Rev. A 56 1682
[15] [16] [17] Gisin N, Bechmann P H 1998 Phys. Lett. A 246 1
[18] Mermin N D 1990 Phys. Rev. Lett. 65 1838
[19] [20] [21] Burnham D C, Weinberg D L 1970 Phys. Rev. Lett. 25 84
[22] Bouwmeester D 1999 Phys. Rev. Lett. 82 1345
[23] [24] Pan J W, Daniell M, Gasparoni S, Weihs G, Zeilinger A 2001 Phys. Rev. Lett. 86 4435
[25] [26] Zhao Z, Chen Y A, Zhang A N, Yang T, Briegel H, Pan J W 2004 Nature 430 54
[27] [28] [29] Zhang Q, Goebel A, Wagenknecht C, Chen Y A 2006 Nature Phys. 2 678
[30] [31] Cabello A 2002 Phys. Rev. A 65 032108
[32] Ghne O, Tth G, Hyllus P, Briegel H J 2005 Phys. Rev. Lett. 95 120405
[33] [34] [35] Scarani V, Acin A, Schenck E, Aspelmeyer A 2005 Phys. Rev. A 71 042325
[36] [37] Rdmark M, Wie?niak M 2009 Phys. Rev. A 80 040302
[38] Lu H X, Zhang J, Wang X Q, Li Y D, Wagn C Y 2008 Phys. Rev. A 78 033819
[39] [40] [41] Collins D, Gisin N, Popescu S, Roberts D, Scarani V 2002 Phys. Rev. Lett. 88 170405
[42] [43] Ghose S, Sinclair N, Debnath S, Rungta P, Stock R 2009 Phys. Rev. Lett. 102 250404
[44] Robert L, Osterloh A, Siewert J 2006 Phys. Rev. Lett. 97 260502
[45] [46] Coffman V, Kundu J, Wootters W K 2000 Phys. Rev. A 61 052306
[47] [48] Miyake A 2003 Phys. Rev. A 67 012108
[49] [50] [51] Svetlichny G 1987 Phys. Rev. D 35 3066
[52] [53] [54] [55] [56] [57] [58] [59] [60] [61] [62] [63] [64] [65] [66] [67] [68] [69] [70] [71] [72] [73] [74] [75] [76] [77] [78] [79] [80] [81] [82] [83] [84] [85] [86] [87] [88] [89] [90] [91] [92] [93] [94] [95] [96] [97] [98] [99] [100] [101] -
[1] Einstein A, Podolsky B, Rosen N 1935 Phys. Rev. 47 777
[2] Bell J S 1964 Physics 1 195
[3] [4] [5] Bell J S 1987 Speakable and Unspeakable in Quantum Mechanics Cambridge (Cambridge:Univ. Press)
[6] [7] Clauser J F, Horne M A, Shimony A, Holt R A 1969 Phys. Rev. Lett. 23 880
[8] Ardehali M 1992 Phys. Rev. A 46 5375
[9] [10] Klyshko D N 1993 Phys. Lett. A 172 399
[11] [12] [13] Belinskiǐ A V, Klyshko D N 1993 Phys. Uspekhi 36 653
[14] Zukowski M, Kaszlikowski D 1997 Phys. Rev. A 56 1682
[15] [16] [17] Gisin N, Bechmann P H 1998 Phys. Lett. A 246 1
[18] Mermin N D 1990 Phys. Rev. Lett. 65 1838
[19] [20] [21] Burnham D C, Weinberg D L 1970 Phys. Rev. Lett. 25 84
[22] Bouwmeester D 1999 Phys. Rev. Lett. 82 1345
[23] [24] Pan J W, Daniell M, Gasparoni S, Weihs G, Zeilinger A 2001 Phys. Rev. Lett. 86 4435
[25] [26] Zhao Z, Chen Y A, Zhang A N, Yang T, Briegel H, Pan J W 2004 Nature 430 54
[27] [28] [29] Zhang Q, Goebel A, Wagenknecht C, Chen Y A 2006 Nature Phys. 2 678
[30] [31] Cabello A 2002 Phys. Rev. A 65 032108
[32] Ghne O, Tth G, Hyllus P, Briegel H J 2005 Phys. Rev. Lett. 95 120405
[33] [34] [35] Scarani V, Acin A, Schenck E, Aspelmeyer A 2005 Phys. Rev. A 71 042325
[36] [37] Rdmark M, Wie?niak M 2009 Phys. Rev. A 80 040302
[38] Lu H X, Zhang J, Wang X Q, Li Y D, Wagn C Y 2008 Phys. Rev. A 78 033819
[39] [40] [41] Collins D, Gisin N, Popescu S, Roberts D, Scarani V 2002 Phys. Rev. Lett. 88 170405
[42] [43] Ghose S, Sinclair N, Debnath S, Rungta P, Stock R 2009 Phys. Rev. Lett. 102 250404
[44] Robert L, Osterloh A, Siewert J 2006 Phys. Rev. Lett. 97 260502
[45] [46] Coffman V, Kundu J, Wootters W K 2000 Phys. Rev. A 61 052306
[47] [48] Miyake A 2003 Phys. Rev. A 67 012108
[49] [50] [51] Svetlichny G 1987 Phys. Rev. D 35 3066
[52] [53] [54] [55] [56] [57] [58] [59] [60] [61] [62] [63] [64] [65] [66] [67] [68] [69] [70] [71] [72] [73] [74] [75] [76] [77] [78] [79] [80] [81] [82] [83] [84] [85] [86] [87] [88] [89] [90] [91] [92] [93] [94] [95] [96] [97] [98] [99] [100] [101]
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