Efficient three-step entanglement concentration for an arbitrary four-photon cluster state

doi:10.1088/1674-1056/22/3/030305

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 30305-030305.doi: 10.1088/1674-1056/22/3/030305

Efficient three-step entanglement concentration for an arbitrary four-photon cluster state

司斌^a, 苏石磊^a, 孙立莉^b, 程留永^b, 王洪福^{a c}, 张寿^a

a Department of Physics, College of Science, Yanbian University, Yanji 133002, China;
b Center for the Condensed-Matter Science and Technology, Department of Physics, Harbin Institute of Technology, Harbin 150001, China;
c School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China

收稿日期:2012-04-09 修回日期:2012-09-28 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61068001 and 11264042), the Talent Program of Yanbian University, China (Grant No. 950010001), the National Science Foundation for Post-doctoral Scientists of China (Grant No. 2012M520612), and the Program for Chun Miao Excellent Talents of Department of Education of Jilin Province, China (Grant No. 201316).

Efficient three-step entanglement concentration for an arbitrary four-photon cluster state

Si Bin (司斌)^a, Su Shi-Lei (苏石磊)^a, Sun Li-Li (孙立莉)^b, Cheng Liu-Yong (程留永)^b, Wang Hong-Fu (王洪福)^{a c}, Zhang Shou (张寿)^a

a Department of Physics, College of Science, Yanbian University, Yanji 133002, China;
b Center for the Condensed-Matter Science and Technology, Department of Physics, Harbin Institute of Technology, Harbin 150001, China;
c School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China

Received:2012-04-09 Revised:2012-09-28 Online:2013-02-01 Published:2013-02-01
Contact: Zhang Shou E-mail:szhang@ybu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61068001 and 11264042), the Talent Program of Yanbian University, China (Grant No. 950010001), the National Science Foundation for Post-doctoral Scientists of China (Grant No. 2012M520612), and the Program for Chun Miao Excellent Talents of Department of Education of Jilin Province, China (Grant No. 201316).

摘要/Abstract

摘要： We propose an entanglement concentration protocol (ECP) to concentrate an arbitrary partially-entangled four-photon cluster state. As a pioneering three-step entanglement concentration scheme, our protocol only needs single-photon resource to assist the concentration in each step, which makes this protocol more economical. With the help of the linear optical elements and weak cross-Kerr nonlinearity, one can obtain a maximally-entangled cluster state via local operations and classical communication. Moreover, the protocol can be iterated to obtain a higher success probability and is feasible under the current experimental conditions.

关键词: cluster state, entanglement concentration, cross-Kerr nonlinearity

Abstract: We propose an entanglement concentration protocol (ECP) to concentrate an arbitrary partially-entangled four-photon cluster state. As a pioneering three-step entanglement concentration scheme, our protocol only needs single-photon resource to assist the concentration in each step, which makes this protocol more economical. With the help of the linear optical elements and weak cross-Kerr nonlinearity, one can obtain a maximally-entangled cluster state via local operations and classical communication. Moreover, the protocol can be iterated to obtain a higher success probability and is feasible under the current experimental conditions.

Key words: cluster state, entanglement concentration, cross-Kerr nonlinearity

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.Hk (Quantum communication) 42.50.-p (Quantum optics)

司斌, 苏石磊, 孙立莉, 程留永, 王洪福, 张寿. Efficient three-step entanglement concentration for an arbitrary four-photon cluster state[J]. 中国物理B, 2013, 22(3): 30305-030305.

Si Bin (司斌), Su Shi-Lei (苏石磊), Sun Li-Li (孙立莉), Cheng Liu-Yong (程留永), Wang Hong-Fu (王洪福), Zhang Shou (张寿). Efficient three-step entanglement concentration for an arbitrary four-photon cluster state[J]. Chin. Phys. B, 2013, 22(3): 30305-030305.

参考文献 42

[1]	Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
[2]	Bennett C H and Wiesner S J 1992 Phys. Rev. Lett. 69 2881
[3]	Grover L K 1997 Phys. Rev. Lett. 79 325
[4]	Ekert A K 1991 Phys. Rev. Lett. 67 661
[5]	Li X H, Duan X J, Sheng Y B, Zhou H Y and Deng F G 2009 Chin. Phys. B 18 3710
[6]	Gu B, Huang Y G, Fang X and Zhang C Y 2011 Chin. Phys. B 20 100309
[7]	Hillery M, Bužek V and Berthiaume A 1999 Phys. Rev. A 59 1829
[8]	Karlsson A, Koashi M and Imoto N 1999 Phys. Rev. A 59 162
[9]	Long G L and Liu X S 2002 Phys. Rev. A 65 032302
[10]	Lance A M, Symul T, Bowen W P, Sanders B C and Lam P K 2004 Phys. Rev. Lett. 92 177903
[11]	Yan F L, Gao T and Chitambar E 2011 Phys. Rev. A 83 022319
[12]	Bennett C H, Bernstein H J, Popescu S and Schumacher B 1996 Phys. Rev. A 53 2046
[13]	Bose S, Vedral V and Knight P L 1999 Phys. Rev. A 60 194
[14]	Yamamoto T, Koashi M and Imoto N 2001 Phys. Rev. A 64 012304
[15]	Zhao Z, Pan J W and Zhan M S 2001 Phys. Rev. A 64 014301
[16]	Sheng Y B, Deng F G and Zhou H Y 2008 Phys. Rev. A 77 062325
[17]	Sheng Y B, Zhou L, Zhao S M and Zheng B Y 2012 Phys. Rev. A 85 012307
[18]	Dür W, Vidal G and Cirac J I 2000 Phys. Rev. A 62 062314
[19]	Zhang L H, Dong P and Cao Z L 2007 Chin. Phys. 16 640
[20]	Zhang L H, Yang M and Cao Z L 2007 Physica A 374 611
[21]	Wang H F, Zhang S and Yeon K H 2010 Eur. Phys. J. D 56 271
[22]	Sun L L, Wang H F, Zhang S and Yeon K H 2012 J. Opt. Soc. Am. B 29 630
[23]	Sheng Y B, Zhou L and Zhao S M 2012 Phys. Rev. A 85 042302
[24]	Dür W and Briegel H J 2004 Phys. Rev. Lett. 92 180403
[25]	Walther P, Aspelmeyer M, Resch K J and Zeilinger A 2005 Phys. Rev. Lett. 95 020403
[26]	Kiesel N, Schmid C, Weber U, Tóth G, Gühne O, Ursin R and Weinfurter H 2005 Phys. Rev. Lett. 95 210502
[27]	Zou X B and Mathis W 2005 Phys. Rev. A 71 032308
[28]	Su S L, Wang Y, Guo Q, Wang H F and Zhang S 2012 Chin. Phys. B 21 044205
[29]	Zhang W, Liu Y M, Liu J and Zhang Z J 2008 Chin. Phys. B 17 3203
[30]	Wang X W, Shan Y G, Xia L X and Lu M W 2007 Phys. Lett. A 364 7
[31]	Zhong L Y, Guo Q, Cheng L Y, Su S L, Zhu L, Wang H F and Zhang S 2012 Opt. Commun. 285 4616
[32]	Nemoto K and Munro W J 2004 Phys. Rev. Lett. 93 250502
[33]	Guo Q, Bai J, Cheng L Y, Shao X Q, Wang H F and Zhang S 2011 Phys. Rev. A 83 054303
[34]	Munro M J, Nemoto K and Spiller T P 2005 New. J. Phys. 7 137
[35]	Munro W J, Nemoto K, Beausoleil R G and Spiller T P 2005 Phys. Rev. A 71 033819
[36]	Pittman T B, Fitch M J, Jacobs B C and Franson J D 2003 Phys. Rev. A 68 032316
[37]	Zhao Z, Zhang A N, Chen Y A, Zhang H, Du J F, Yang T and Pan J W 2005 Phys. Rev. Lett. 94 030501
[38]	Okamoto R, Hofmann H F, Takeuchi S and Sasaki K 2005 Phys. Rev. Lett. 95 210506
[39]	Bao X H, Chen T Y, Zhang Q, Yang J, Zhang H, Yang T and Pan J W 2007 Phys. Rev. Lett. 98 170502
[40]	Fiurášek J 2006 Phys. Rev. A 73 062313
[41]	Lin Q and Li J 2009 Phys. Rev. A 79 022301
[42]	Lin Q and He B 2009 Phys. Rev. A 80 042310

Efficient three-step entanglement concentration for an arbitrary four-photon cluster state

Efficient three-step entanglement concentration for an arbitrary four-photon cluster state

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 42

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Zhihang Xu(许智航), Yuzhen Wei(魏玉震), Cong Jiang(江聪), and Min Jiang(姜敏). Deterministic remote state preparation of arbitrary three-qubit state through noisy cluster-GHZ channel[J]. 中国物理B, 2022, 31(4): 40304-040304.
[2]	Xing-Xing Ju(居星星), Wei Zhong(钟伟), Yu-Bo Sheng(盛宇波), and Lan Zhou(周澜). Measurement-device-independent quantum secret sharing with hyper-encoding[J]. 中国物理B, 2022, 31(10): 100302-100302.
[3]	Shuhong Hao(郝树宏), Xiaowei Deng(邓晓玮), Yang Liu(刘阳), Xiaolong Su(苏晓龙), Changde Xie(谢常德), and Kunchi Peng(彭堃墀). Quantum computation and error correction based on continuous variable cluster states[J]. 中国物理B, 2021, 30(6): 60312-060312.
[4]	郭文明, 秦蕾茹. Hierarchical and probabilistic quantum information splitting of an arbitrary two-qubit state via two cluster states[J]. 中国物理B, 2018, 27(11): 110302-110302.
[5]	周澜, 王丹丹, 王兴福, 顾世浦, 盛宇波. Optimal multi-photon entanglement concentration with the photonic Faraday rotation[J]. 中国物理B, 2017, 26(2): 20302-020302.
[6]	郭锐, 周澜, 顾世浦, 王兴福, 盛宇波. Hybrid entanglement concentration assisted with single coherent state[J]. 中国物理B, 2016, 25(3): 30302-030302.
[7]	Jino Heo, Chang-Ho Hong, Dong-Hoon Lee, Hyung-Jin Yang. Bidirectional transfer of quantum information for unknown photons via cross-Kerr nonlinearity and photon-number-resolving measurement[J]. 中国物理B, 2016, 25(2): 20306-020306.
[8]	周澜, 盛宇波. Efficient entanglement concentration for arbitrary less-entangled NOON state assisted by single photons[J]. 中国物理B, 2016, 25(2): 20308-020308.
[9]	Jino Heo, Chang-Ho Hong, Jong-In Lim, Hyung-Jin Yang. Bidirectional quantum teleportation of unknown photons using path-polarization intra-particle hybrid entanglement and controlled-unitary gates via cross-Kerr nonlinearity[J]. 中国物理B, 2015, 24(5): 50304-050304.
[10]	盛宇波, 刘炯, 赵圣阳, 王磊, 周澜. Entanglement concentration for W-type entangled coherent states[J]. , 2014, 23(8): 80305-080305.
[11]	闫香, 於亚飞, 张智明. Generation of hyperentangled four-photon cluster state via cross-Kerr nonlinearity[J]. 中国物理B, 2014, 23(6): 60306-060306.
[12]	周澜. Consequent entanglement concentration of a less-entangled electronic cluster state with controlled-not gates[J]. 中国物理B, 2014, 23(5): 50308-050308.
[13]	文晶姬, Yeon Kyu-Hwang, 王洪福, 张寿. Scheme for generating a cluster-type entangled squeezed vacuum state via cavity QED[J]. 中国物理B, 2014, 23(4): 40301-040301.
[14]	刘炯, 赵圣阳, 周澜, 盛宇波. Electronic cluster state entanglement concentration based on charge detection[J]. 中国物理B, 2014, 23(2): 20313-020313.
[15]	王志会, 朱龙, 苏石磊, 郭奇, 程留永, 朱爱东, 张寿. Complete four-photon cluster-state analyzer based on cross-Kerr nonlinearity[J]. 中国物理B, 2013, 22(9): 90309-090309.