Efficient entanglement purification in quantum repeaters

doi:10.1088/1674-1056/21/3/030307

Abstract We present an efficient entanglement purification protocol (EPP) with controlled-not (CNOT) gates and linear optics. With the CNOT gates, our EPP can reach a higher fidelity than the conventional one. Moreover, it does not require the fidelity of the initial mixed state to satisfy F>1/2. If the initial state is not entangled, it still can be purified. With the linear optics, this protocol can get pure maximally entangled pairs with some probabilities. Meanwhile, it can be used to purify the entanglement between the atomic ensembles in distant locations. This protocol may be useful in long-distance quantum communication.

Keywords: quantum communication entanglement entanglement purification quantum repeater

Received: 31 October 2011
Revised: 15 November 2011
Accepted manuscript online:

PACS:	03.67.Dd	(Quantum cryptography and communication security)
	03.67.Hk	(Quantum communication)
	03.65.Ud	(Entanglement and quantum nonlocality)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11104159 and 10904074), the Scientific Research Foundation of Nanjing University of Posts and Telecommunications, China (Grant No. NY211008), the University Natural Science Research Foundation of Jiangsu Province, China (Grant No. 11KJA510002), the Open Research Fund of Key Lab of Broadband Wireless Communication and Sensor Network Technology (Nanjing University of Posts and Telecommunications) of Ministry of Education, China, and the Priority Academic Program Development Fund of Jiangsu Higher Education Institutions, China.

Corresponding Authors: Sheng Yu-Bo,shengyb@njupt.edu.cn
E-mail: shengyb@njupt.edu.cn

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Sheng Yu-Bo(盛宇波), Zhou Lan(周澜), Cheng Wei-Wen(程维文), Gong Long-Yan(巩龙龑), Zhao Sheng-Mei(赵生妹), and Zheng Bao-Yu(郑宝玉) Efficient entanglement purification in quantum repeaters 2012 Chin. Phys. B 21 030307

[1]	Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
[2]	Ekert A K 1991 Phys. Rev. Lett. 67 661
[3]	Bennett C H, Brassard G and Mermin N D 1992 Phys. Rev. Lett. 68 557
[4]	Deng F G and Long G L 2003 Phys. Rev. A 68 042315
[5]	Long G L and Liu X S 2002 Phys. Rev. A 65 032302
[6]	Li X H, Deng F G and Zhou H Y 2008 Phys. Rev. A 78 022321
[7]	Gisin N, Ribordy G, Tittel W and Zbinden H 2002 Rev. Mod. Phys. 74 145
[8]	Deng F G, Long G L and Liu X S 2003 Phys. Rev. A 68 042317
[9]	Wang C, Deng F G, Li Y S, Liu X S and Long G L 2005 Phys. Rev. A 71 042305
[10]	Wang C, Deng F G and Long G L 2005 Opt. Commun. 253 15
[11]	Deng F G, Li X H, Li C Y, Zhou P and Zhou H Y 2006 Phys. Lett. A 359 359
[12]	Gu B, Huang Y G, Fang X and Zhang C Y 2011 Chin. Phys. B 20 100309
[13]	Li X H, Deng F G and Zhou H Y 2006 Phys. Rev. A 74 054302
[14]	Li X H, Duan X J, Sheng Y B, Zhou H Y and Deng F G 2009 Chin. Phys. B 18 3710
[15]	Yang J, Wang C and Zhang R 2010 Chin. Phys. B 19 110306
[16]	Zhang X L, Zhang Y X and Wei H 2009 Chin. Phys. B 18 435
[17]	Liu W J, Chen H W, Ma T H, Li Z Q, Liu Z H and Hu W B 2009 Chin. Phys. B 18 4105
[18]	Man Z X, Zhang Z J and Li Y 2005 Chin. Phys. Lett. 22 18
[19]	Yan F L and Zhang X 2004 Euro. Phys. J. B 41 75
[20]	Gao T, Yan F L and Wang Z X 2005 Chin. Phys. 14 893
[21]	Gao T, Yan F L and Wang Z X 2005 J. Phys. A 38 5761
[22]	Gao T, Yan F L and Wang Z X 2005 Int. J. Mod. Phys. C 16 1293
[22]	Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
[24]	Bennett C H and Wiesner S J 1992 Phys. Rev. Lett. 69 2881
[25]	Liu X S, Long G L, Tong D M and Feng L 2002 Phys. Rev. A 65 022304
[26]	Hillery M, Bužek V and Berthiaume A 1999 Phys. Rev. A 59 1829
[27]	Karlsson A, Koashi M and Imoto N 1999 Phys. Rev. A 59 162
[28]	Xiao L, Long G L, Deng F G and Pan J W 2004 Phys. Rev. A 69 052307
[29]	Deng F G, Li X H and Zhou H Y 2008 Phys. Lett. A 372 1957
[30]	Cleve R, Gottesman D and Lo H K 1999 Phys. Rev. Lett. 83 648
[31]	Lance A M, Symul T, Bowen W P, Sanders B C and Lam P K 2004 Phys. Rev. Lett. 92 177903
[32]	Deng F G, Li X H, Li C Y, Zhou P and Zhou H Y 2005 Phys. Rev. A 72 044301
[33]	Deng F G, Li X H, Li C Y, Zhou P and Zhou H Y 2006 Eur. Phys. J. D 39 459
[34]	Li X H, Zhou P, Li C Y, Zhou H Y and Deng F G 2006 J. Phys. B 39 1975
[35]	Sheng Y B, Deng F G and Zhou H Y 2008 Eur. Phys. J. D 48 279
[36]	Wang T J, Zhou H Y and Deng F G 2008 Physica A 387 4716
[37]	Karlsson A and Bourennane M 1998 Phys. Rev. A 58 4394
[38]	Deng F G, Li C Y, Li Y S, Zhou H Y and Wang Y 2005 Phys. Rev. A 72 022338
[39]	Briegel H J, D黵 W, Cirac J I and Zoller P 1998 Phys. Rev. Lett. 81 5932
[40]	D黵 W, Briegel H J, Cirac J I and P Zoller 1998 Phys. Rev. A 59 169
[41]	Zukowski M, Zeilinger A, Horne M A and Ekert A K 1993 Phys. Rev. Lett. 71 4278
[42]	Bose S, Vedral V and Knight P L 1998 Phys. Rev. A 57 822
[43]	Bennett C H, Brassard G, Popescu S, Schumacher B, Smolin J A and Wootters W K 1996 Phys. Rev. Lett. 76 722
[44]	Duan L M, Lukin M D, Cirac J T and Zoller P 2001 Nature 414 413
[45]	Sangouard N, Simon C, Min? ř J, Zbinden H, de Riedmatten H and Gisin N 2007 Phys. Rev. A 76 050301(R)
[46]	Sangouard N, Simon C, Zhao B, Chen Y A, de Riedmatten H and Pan J W 2008 Phys. Rev. A 77 062301
[47]	Simon C, de Riedmatten H, Afzelius M, Sangouard N, Zbinden H and Gisin N 2007 Phys. Rev. Lett. 98 010503
[48]	Yuan Z S, Chen Y A, Zhao B, Chen S, Schmiedmayer J and Pan J W 2008 Nature 454 1098
[49]	Lin G W, Zou X B, Lin X M and Guo G C 2009 Phys. Rev. A 79 042332
[50]	Yu F and Xiong S J 2009 Phys. Rev. A 79 052340
[51]	Yin Z Q, Zhao Y B, Yang Y, Han Z F and Guo G C 2009 Phys. Rev. A 79 044302
[52]	Gao M, Liang L M, Li C Z and Wang X B 2009 Phys. Rev. A 79 042301
[53]	Choi K S, Deng H, Laurat J and Kimble H J 2008 Nature 452 67
[54]	Zhao B, Chen Z B, Chen Y A, Schmiedmayer J and Pan J W 2007 Phys. Rev. Lett. 98 240502
[55]	Chen Z B, Zhao B, Chen Y A, Schmiedmayer J and Pan J W 2007 Phys. Rev. A 96 022309
[56]	Chou C W, de Riedmatten H, Felinto D, Polyakov S V, van Enk S J and Kimble H J 2005 Nature 438 828
[57]	Chou C W, Laurat J, Deng H, Choi K S, de Riedmatten H, Felinto D and Kimble H J 2007 Science 316 1316
[58]	van Loock P, Ladd T D, Sanaka K, Yamaguchi F, Nemoto K, Munro W J and Yamamoto Y 2006 Phys. Rev. Lett. 96 240501
[59]	Munro W J, Van Meter R, Louis S G R and Nemoto K 2008 Phys. Rev. Lett. 101 040502
[60]	Deutsch D, Ekert A, Jozsa R, Macchiavello C, Popescu S and Sanpera A 1996 Phys. Rev. Lett. 77 2818
[61]	Pan J W, Simon C and Zellinger A 2001 Nature % 410 1067
[62]	Pan J W, Gasparonl S, Ursin R, Weihs G and Zellinger A 2003 Nature 423 417
[63]	Simon C and Pan J W 2002 Phys. Rev. Lett. 89 257901
[64]	Murao M, Plenio M B, Popescu S, Vedral V and Knight P L 1998 Phys. Rev. A 57 R4075
[65]	Cheong Y W, Lee S W, Lee J and Lee H W 2007 Phys. Rev. A 76 042314
[66]	Sheng Y B, Deng F G and Zhou H Y 2008 Phys. Rev. A 77 042308
[67]	Sheng Y B, Deng F G and Zhou H Y 2010 Quantum Inform. Comput. 10 272
[68]	Sheng Y B, Deng F G and Zhou H Y 2009 Eur. Phys. J. D 55 235
[69]	Xiao L, Wang C, Zhang W, Huang Y D, Peng J D and Long G L 2008 Phys. Rev. A 77 042315
[70]	Wang C, Zhang Y and Jin G S 2011 Phys. Rev. A 84 032307
[71]	Wang C, Zhang Y and Jin G S 2011 Quantum Inform. Comput. 11 988
[72]	Sheng Y B, Deng F G and Zhou H Y 2010 Phys. Rev. A 81 032307
[73]	Sheng Y B and Deng F G 2010 Phys. Rev. A 82 044305
[74]	Li X H 2010 Phys. Rev. A 82 044304
[75]	Deng F G 2011 Phys. Rev. A 83 062316
[76]	Deng F G 2011 Phys. Rev. A 84 052312
[77]	Sangouard N, Simon C, Coudreau T and Gisin N 2009 Phys. Rev. A 78 050301(R)
[78]	Sheng Y B, Deng F G and Long G L 2011 Phys. Lett. A 375 396
[79]	Gu B, Chen Y L, Zhang C Y and Huang Y G 2010 Chin. Phys. Lett. 27 100304
[80]	Reichle R, Leibfried D, Knill E, Britton J, Blakestad R B, Jost J D, Langer C, Ozeri R, Seidelin S and Wineland D J 2006 Nature 443 838
[81]	Vaidman L and Yoran N 1999 Phys. Rev. A 59 116
[82]	Calsamiglia J 2002 Phys. Rev. A 65 030301(R)

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Efficient entanglement purification in quantum repeaters

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