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- W3093705432 abstract "摘要 研究了一般形式类GHZ(Greenberger-Horne-Zeilinger)态的共生纠缠度及非定域性, 给出了类GHZ纠缠态的共生纠缠、Mermin不等式和Svetlichny不等式的解析表达式, 并通过数值计算讨论纠缠与非定域性之间的关系. 结果表明, 类GHZ纠缠态的共生纠缠和两个Bell型不等式描述的非定域性是一致的, Bell算符及其参量, 能够明显展示量子态的非定域特性. 关键词: 量子信息 / 类GHZ态 / 共生纠缠 / Bell型不等式 Abstract In this paper, we theoretically study the relation between concurrence and nonlocality depicted by Bell-type inequality violation of quantum mechanics prediction versus local realism prediction for the GHZ (Greenberger -Horne-Zeilinger) class states. Analytical expressions of concurrence, violations of the Mermin inequality and the Svetlichny inequality are obtained. Through numerical calculations, the relationship between entanglement and nonlocality of GHZ-class states is discussed. Our results show that the concurrence is consistent with the degree of nonlocality described by violations of the two Bell-type inequalities of GHZ-class states. The Bell operator and its parameters can obviously reveal the nonlocal features of quantum states. Keywords: quantum information / GHZ-type states / concurrence / Bell-type inequalities 作者及机构信息 赵加强, 曹连振, 逯怀新, 王晓芹 1. 山东省多光子纠缠与操纵重点实验室, 潍坊学院物理与光电工程学院, 潍坊 261061 基金项目: 国家自然科学基金(批准号: 11174224)、山东省科技发展计划(批准号: 2011GGA07158)、山东省自然科学基金(批准号: ZR2011AL012, ZR2009AL018)和山东省高等学校科技计划(批准号: J11LA56)资助的课题. Authors and contacts Zhao Jia-Qiang, Cao Lian-Zhen, Lu Huai-Xin, Wang Xiao-Qin 1. Shandong Provincial Key Laboratory of Multi-photon Entanglement and Manipulation, Department of Physics and Optoelectronic Engineering, WeifangUniversity, Weifang 261061, China Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11174224), the Science and Technology Development Program of Shandong Province, China (Grant No. 2011GGA07158), the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2011AL012, ZR2009AL018), and the Science and Technology Program of Higher Education of Shandong Province, China (Grant No. J11LA56). 参考文献 [1] Man Z X, Xia Y J 2007 Phys. Rev. A 75 052306 [2] Bennett C H, Brassard G, Crépeau C 1993 Phys. Rev. Lett. 70 1895 [3] Zheng Y Z, Gu Y J, Guo G C 2002 Chin. Phys. 11 537 [4] Prevedel T, Walther P, Tiefenbacher F 2007 Nature 445 05346 [5] Chen Z B, Pan J W, Zhang Y D 2003 Phys. Rev. Lett. 90 160408 [6] Xia Y J, Guo G C 2004 Chin. Phys. Lett. 21 1877 [7] Wang Z W, Zhou X F, Huang Y F, Zhang Y S, Ren X F, Guo G C 2006 Physics 35 913 (in Chinese) [王志伟, 周祥发, 黄运锋, 张永生, 任希锋, 郭光灿 2006 物理 35 913] [8] Hossein N H, Stock R, James D F V 2009 Phys. Rev. A 80 022308 [9] Pan J W, Daniell M, Gasparoni S 2001 Phys. Rev. Lett. 86 4435 [10] Deutsch D, Ekert A, Jozsa R 1996 Phys. Rev. Lett. 77 2818 [11] Howell H C, Linares A L, Bouwmeester D 2002 Phys. Rev. Lett. 88 030401 [12] Ekert A1991 Phys. Rev. Lett. 67 611 [13] Mermin N D1990 Phys. Rev. Lett. 65 1838 [14] Bouwmeester D, Pan J W, Daniell M 1999 Phys. Rev. Lett. 82 1345 [15] Pan J W, Daniel M, Gasparoni S 2001 Phys. Rev. Lett. 86 4435 [16] Zhao Z, Yang T, Chen Y A 2003 Phys. Rev. Lett. 90 207901 [17] Ghose S, Sinclair N, Debnath S 2009 Phys. Rev. Lett. 102 250404 [18] Coffman V, Kundu J, Wootters W K 2000 Phys. Rev. A 61 052306 [19] Miyake A 2003 Phys. Rev. A 67 012108 [20] Jungnitsch B, Niekamp S, Kleinmann M 2010 Phys. Rev. Lett. 104 210401 [21] Lu H X, Zhao J Q, Wang X Q 2011 Phys. Rev. A 84 044101 [22] Zhao J Q, Cao L Z, Wang X Q, Lu H X 2012 Phys. Lett. A 376 2377 [23] Zhao J Q, Cao L Z, Wang X Q, Lu H X 2012 Acta Phys. Sin. 61 170301 (in Chinese) [赵加强, 曹连振, 王晓芹, 逯怀新 2012 物理学报 61 170301] [24] Svetlichny G 1987 Phys. Rev. D 35 3066 施引文献" @default.
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- W3093705432 title "Bell-type inequality and tripartite nonlocality in three-qubit GHZ-class states" @default.
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