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We investigate experimentally the violation of the Bell, Mermin and Svetlichny inequalities to local realism prediction. Using the maximum-likelihood technique to construct the density matrix and calculate the fidelity of the Greenberger-Horne-Zeilinger (GHZ) state. The values of the three inequalities are measured. The experimental resuls show that the three inequalities have different violation degrees to local realism prediction. So we can choose a suitable method of nonlocality to estimate the security of quantum channel.
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Keywords:
- quantum entanglement /
- GHZ entangled states /
- nonlocality
[1] Clauser J F, Horne M A, Shimony A 1969 Phys. Rev. Lett. 23 880
[2] Gisin N 2009 Science 326 1357
[3] Moehring D L, Maunz P, Olmschenk S 2007 Nature 449 06118
[4] Prevedel, Walther P, Tiefenbacher F 2007 Nature 445 05346
[5] Jeremy L, Breen O 2007 Science 318 1142892
[6] Chen Z B, Pan J W, Zhang Y D 2003 Phys. Rev. Lett. 90 160408
[7] Zhao J Q, Lu H X 2010 Acta Phys. Sin. 59 7875 (in Chinese) [赵加强, 逯怀新 2010 物理学报 59 7875]
[8] Gisin N 1991 Phys. Lett. A 154 201
[9] Popescu S 1994 Phys. Rev. Lett. 72 797
[10] Linden N, Popescu S, Wootters W K 2002 Phys. Rev. Lett. 89 207901
[11] Lu H X, Zhao J Q, Wang X Q, Cao L Z 2011 Phys. Rev. A 84 012111
[12] Hossein N H, Stock R, James D F V 2009 Phys. Rev. A 80 022308
[13] Pan J W, Daniell M, Gasparoni S 2001 Phys. Rev. Lett. 86 4435
[14] Deutsch D, Ekert A, Jozsa R 1996 Phys. Rev. Lett. 77 2818
[15] Howell H C, Linares A L, Bouwmeester D 2002 Phys. Rev. Lett. 88 030401
[16] Ekert A K 1991 Phys. Rev. Lett. 67 661
[17] Lu H X, Zhao J Q, Wang X Q 2011 Phys. Lett. A 375 1850
[18] Chen J L, Wu C, Kwek L C, Oh C H 2004 Phys. Rev. Lett. 93 140407
[19] Mermin N D 1990 Phys. Rev. Lett. 65 1838
[20] Ghose S, Sinclair N, Debnath S 2009 Phys. Rev. Lett. 102 250404
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[1] Clauser J F, Horne M A, Shimony A 1969 Phys. Rev. Lett. 23 880
[2] Gisin N 2009 Science 326 1357
[3] Moehring D L, Maunz P, Olmschenk S 2007 Nature 449 06118
[4] Prevedel, Walther P, Tiefenbacher F 2007 Nature 445 05346
[5] Jeremy L, Breen O 2007 Science 318 1142892
[6] Chen Z B, Pan J W, Zhang Y D 2003 Phys. Rev. Lett. 90 160408
[7] Zhao J Q, Lu H X 2010 Acta Phys. Sin. 59 7875 (in Chinese) [赵加强, 逯怀新 2010 物理学报 59 7875]
[8] Gisin N 1991 Phys. Lett. A 154 201
[9] Popescu S 1994 Phys. Rev. Lett. 72 797
[10] Linden N, Popescu S, Wootters W K 2002 Phys. Rev. Lett. 89 207901
[11] Lu H X, Zhao J Q, Wang X Q, Cao L Z 2011 Phys. Rev. A 84 012111
[12] Hossein N H, Stock R, James D F V 2009 Phys. Rev. A 80 022308
[13] Pan J W, Daniell M, Gasparoni S 2001 Phys. Rev. Lett. 86 4435
[14] Deutsch D, Ekert A, Jozsa R 1996 Phys. Rev. Lett. 77 2818
[15] Howell H C, Linares A L, Bouwmeester D 2002 Phys. Rev. Lett. 88 030401
[16] Ekert A K 1991 Phys. Rev. Lett. 67 661
[17] Lu H X, Zhao J Q, Wang X Q 2011 Phys. Lett. A 375 1850
[18] Chen J L, Wu C, Kwek L C, Oh C H 2004 Phys. Rev. Lett. 93 140407
[19] Mermin N D 1990 Phys. Rev. Lett. 65 1838
[20] Ghose S, Sinclair N, Debnath S 2009 Phys. Rev. Lett. 102 250404
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