Measurement-induced nonlocality in the W and Greenberger-Horne-Zeilinger superposition states

doi:10.1088/1674-1056/24/3/030304

中国物理B ›› 2015, Vol. 24 ›› Issue (3): 30304-030304.doi: 10.1088/1674-1056/24/3/030304

Measurement-induced nonlocality in the W and Greenberger-Horne-Zeilinger superposition states

林秦^a, 白彦魁^b, 叶明勇^a, 林秀敏^a

a Fujian Provincial Key Laboratory of Quantum Manipulation and New Energy Materials, College of Physics and Energy, Fujian Normal University, Fuzhou 350007, China;
b College of Physical Science and Information Engineering and Hebei Advance Thin Films Laboratory, Hebei Normal University, Shijiazhuang 050024, China

收稿日期:2014-07-12 修回日期:2014-10-08 出版日期:2015-03-05 发布日期:2015-03-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61275215 and 10905016), the National Fundamental Research Program of China (Grant No. 2011CBA00203), the Fujian Provincial College Funds for Distinguished Young Scientists, China (Grant No. JA14070), and the Natural Science Foundation of Hebei Province, China (Grant No. A2012205062).

Measurement-induced nonlocality in the W and Greenberger-Horne-Zeilinger superposition states

Lin Qin (林秦)^a, Bai Yan-Kui (白彦魁)^b, Ye Ming-Yong (叶明勇)^a, Lin Xiu-Min (林秀敏)^a

a Fujian Provincial Key Laboratory of Quantum Manipulation and New Energy Materials, College of Physics and Energy, Fujian Normal University, Fuzhou 350007, China;
b College of Physical Science and Information Engineering and Hebei Advance Thin Films Laboratory, Hebei Normal University, Shijiazhuang 050024, China

Received:2014-07-12 Revised:2014-10-08 Online:2015-03-05 Published:2015-03-05
Contact: Ye Ming-Yong E-mail:myye@fjnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61275215 and 10905016), the National Fundamental Research Program of China (Grant No. 2011CBA00203), the Fujian Provincial College Funds for Distinguished Young Scientists, China (Grant No. JA14070), and the Natural Science Foundation of Hebei Province, China (Grant No. A2012205062).

摘要/Abstract

摘要：

Measurement-induced nonlocality (MIN) is a newly defined quantity to measure correlations in bipartite quantum states [Luo S and Fu S 2011 Phys. Rev. Lett. 106 120401]. MIN in the n-qubit W and Greenberger-Horne-Zeilinger (GHZ) superposition states is considered. It is revealed that n=3 and n≥ 4 states have very different characteristics, especially the monogamy relation about MIN, and the monogamy equality of MIN is held in all n-qubit W states (n≥ 3).

关键词: measurement-induced nonlocality, monogamy, W state

Abstract:

Key words: measurement-induced nonlocality, monogamy, W state

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.Mn (Entanglement measures, witnesses, and other characterizations)

林秦, 白彦魁, 叶明勇, 林秀敏. Measurement-induced nonlocality in the W and Greenberger-Horne-Zeilinger superposition states[J]. 中国物理B, 2015, 24(3): 30304-030304.

Lin Qin (林秦), Bai Yan-Kui (白彦魁), Ye Ming-Yong (叶明勇), Lin Xiu-Min (林秀敏). Measurement-induced nonlocality in the W and Greenberger-Horne-Zeilinger superposition states[J]. Chin. Phys. B, 2015, 24(3): 30304-030304.

参考文献 33

[1]	Bell J S 1964 Physics 1 195
[2]	Werner R F and Wolf M M 2001 Quantum Inf. Comput. 1 1
[3]	Jones S J, Wiseman H M and Doherty A C 2007 Phys. Rev. A 76 052116
[4]	Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865
[5]	Augusiak R, Cavalcanti D, Prettico G and Acín A 2010 Phys. Rev. Lett. 104 230401
[6]	Sun Y H and Kuang L M 2006 Chin. Phys. 15 681
[7]	Zhou B Y, Deng L, Duan Y F, Yu L and Li G X 2012 Chin. Phys. B 21 090302
[8]	Luo S and Fu S 2011 Phys. Rev. Lett. 106 120401
[9]	Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[10]	Vedral V 2002 Rev. Mod. Phys. 74 197
[11]	Sen A, Sarkar D and Bhar A 2012 J. Phys. A: Math. Theor. 45 405306
[12]	Bennett C H, DiVincenzo D P, Fuchs C A, Mor T, Rains E, Shor P W, Smolin J A and Wootters W K 1999 Phys. Rev. A 59 1070
[13]	Xu G F and Tong D M 2012 Chin. Phys. Lett. 29 070302
[14]	Hu M L and Fan H 2012 Ann. Phys. 327 2343
[15]	Xi Z J, Wang X G and Li Y M 2012 Phys. Rev. A 85 042325
[16]	Fu S S and Luo S L 2011 Int. J. Quantum Inform. 09 1587
[17]	Xiao R L, Xiao X and Zhong W J 2013 Chin. Phys. B 22 080306
[18]	Zhang G F, Fan H, Ji A L and Liu W M 2012 Eur. Phys. J. D 66 34
[19]	Ramzan M 2013 Quantum Inf. Process. 12 2721
[20]	Sen A, Sarkar D and Bhar A 2013 Quantum Inf. Process. 12 3007
[21]	Guo Y 2013 Int. J. Mod. Phys. B 27 1350067
[22]	Mohamed A B A 2013 Optik 124 5369
[23]	Yao Y, Li H W, Zhang C M, Yin Z Q, Chen W, Guo G C and Han Z F 2012 Phys. Rev. A 86 042102
[24]	Zhang G F, Ji A L, Fan H and Liu W M 2012 Ann. Phys. 327 2074
[25]	Dakić B, Vedral V and Brukner Č 2010 Phys. Rev. Lett. 105 190502
[26]	Luo S and Fu S 2010 Phys. Rev. A 82 034302
[27]	Ollivier H and Zurek W H 2001 Phys. Rev. Lett. 88 017901
[28]	Henderson L and Vedral V 2001 J. Phys. A 34 6899
[29]	Luo S 2008 Phys. Rev. A 77 022301
[30]	Coffman V, Kundu J and Wootters W K 2000 Phys. Rev. A 61 052306
[31]	Bai Y K, Xu Y F and Wang Z D 2014 Phys. Rev. Lett. 113 100503
[32]	Li J J and Wang J X 2010 Chin. Phys. B 19 100310
[33]	Xu S, Song X K and Ye L 2014 Chin. Phys. B 23 010302

Measurement-induced nonlocality in the W and Greenberger-Horne-Zeilinger superposition states

Measurement-induced nonlocality in the W and Greenberger-Horne-Zeilinger superposition states

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