Please wait a minute...
Chin. Phys. B, 2015, Vol. 24(12): 120306    DOI: 10.1088/1674-1056/24/12/120306
GENERAL Prev   Next  

Fast multi-copy entanglement purification with linear optics

Cai Chun (蔡春)a c, Zhou Lan (周澜)a b, Sheng Yu-Bo (盛宇波)a c
a Key Laboratory of Broadband Wireless Communication and Sensor Network Technology, Ministry of Education, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
b College of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
c Institute of Signal Processing Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
Abstract  

We describe an entanglement purification protocol for a polarization Bell state. Different from the previous protocols, it does not require the controlled-not gate, and only uses linear optical elements to complete the task. This protocol requires multi-copy degraded mixed states, which can make this protocol obtain a high fidelity in one purification step. It can also be extended to purify the multi-photon Greenberger-Horne-Zeilinger (GHZ) state. This protocol may be useful in future long-distance communication.

Keywords:  quantum computation      entanglement purification      entanglement  
Received:  15 July 2015      Revised:  16 August 2015      Accepted manuscript online: 
PACS:  03.67.Hk (Quantum communication)  
  03.65.Ud (Entanglement and quantum nonlocality)  
  03.67.Lx (Quantum computation architectures and implementations)  
Fund: 

Project supported by the National Natural Science Foundation of China (Grant Nos. 11474168 and 61401222), the Qing Lan Project of Jiangsu Province, China, the STITP Project in Nanjing University of Posts and Telecommunications, the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20151502), the Natural Science Foundation of the Jiangsu Higher Education Institutions (Grant No. 15KJA120002), and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, China.

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

Cite this article: 

Cai Chun (蔡春), Zhou Lan (周澜), Sheng Yu-Bo (盛宇波) Fast multi-copy entanglement purification with linear optics 2015 Chin. Phys. B 24 120306

[1] Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
[2] Heo J, Hong C H, Lim J I and Yang H J 2015 Chin. Phys. B 24 050304
[3] Hillery M, Bužek V and Berthiaume A 1999 Phys. Rev. A 59 1829
[4] Karlsson A, Koashi M and Imoto N 1999 Phys. Rev. A 59 162
[5] Xiao L, Long G L, Deng F G and Pan J W 2004 Phys. Rev. A 69 052307
[6] Ekert A K 1991 Phys. Rev. Lett. 67 661
[7] Su X L 2014 Chin. Sci. Bull. 59 1083
[8] Long G L and Liu X S 2002 Phys. Rev. A 65 032302
[9] Deng F G, Long G L and Liu X S 2003 Phys. Rev. A 68 042317
[10] Zheng C and Long G F 2014 Sci. China-Phys. Mech. Astron. 57 1238
[11] Zou X F and Qiu D W 2014 Sci. China-Phys. Mech. Astron. 57 1696
[12] Chang Y, Xu C X, Zhang S B and Yan L 2013 Chin. Sci. Bull. 58 4571
[13] Liu Y 2013 Chin. Sci. Bull. 58 2927
[14] Hong C H, Heo J, Lim J I and Yang H J 2014 Chin Phys. B 23 090309
[15] Chang Y, Zhang S B, Yan L L and Han G H 2015 Chin. Phys. B 24 050307
[16] Zhang C M, Li M, Huang J Z, Treeviriyanupab P, Li H W, Li F Y, Wang C, Yin Z Q, Chen W, Sripimanwat K and Han Z F 2014 Chin. Phys. B 23 090310
[17] Zhao L Y, Li H W, Yin Z Q, Chen W, You J and Han Z F 2014 Chin. Phys. B 23 100304
[18] Zhou Y Y, Zhou X J, Tian P G and Wang Y J 2013 Chin. Phys. B 22 010305
[19] Quan D X, Zhu C H, Liu S Q and Pei C X 2015 Chin. Phys. B 24 050309
[20] Chang Y, Zhang S B, Yan L L and Sheng Z W 2013 Chin. Phys. Lett. 30 060301
[21] Chang Y, Zhang S B and Yan L L 2013 Chin. Phys. Lett. 30 090301
[22] Li F Y, Yin Z Q, Li H W, Chen W, Wang S, Wen H, Zhao Y B and Han Z F 2014 Chin. Phys. Lett. 31 070302
[23] Huang D, Fang J, Wang C, Huang P and Zeng G H 2013 Chin. Phys. Lett. 30 114209
[24] Ye T Y 2015 Sci. China-Phys. Mech. Astron. 58 040301
[25] Heilmann R, Gräfe M, Nolte S and Szameit A 2015 Sci. Bull. 60 96
[26] Xu J S and Li C F 2015 Sci. Bull. 60 141
[27] Ji Y Q, Jin Z, Zhu A D, Wang H F and Zhang S 2014 Chin. Phys. B 23 050306
[28] Wang C, He L Y, Zhang Y, Ma H Q and Zhang R 2014 Sci. China-Phys. Mech. Astron. 56 2054
[29] Su X L, Jia X J, Xie C D and Peng K C 2014 Sci. China-Phys. Mech. Astron. 57 1210
[30] Liu J, Zhao S Y, Zhou L and Sheng Y B 2014 Chin. Phys. B 23 020313
[31] Liu J, Zhou L and Sheng Y B 2015 Chin. Phys. B 24 070309
[32] Gu B, Huang Y G, Fang X and Chen Y L 2013 Int. J. Theor. Phys. 52 4461
[33] Wang H B, Huang Y G, Fang X, Gu B and Fu D S 2013 Int. J. Theor. Phys. 52 1043
[34] Gu B, Huang Y G, Fang X and Huang H B 2014 Int. J. Theor. Phys. 53 1337
[35] Gao T, Yan F L and van Enk S J 2014 Phys. Rev. Lett. 112 180501
[36] Ding D, Yan F L and Gao T 2014 Sci China-Phys. Mech. Astron. 57 2098
[37] Wang M Y and Yan F L 2014 Eur. Phys. J. D 68 29
[38] Chen L B and Yang W 2014 Laser Phys. Lett. 11 105201
[39] Qiu T H and Yang G J 2014 Phys. Rev. A 89 052312
[40] Bennett C H, Brassard G, Popescu S, Schumacher B, Smolin J A and Wootters W K 1996 Phys. Rev. Lett. 76 722
[41] Pan J W, Simon C, Brukner C and Zeilinger A 2001 Nature 410 1067
[42] Simon C and Pan J W 2002 Phys. Rev. Lett. 89 257901
[43] Jeong H and Kim M S 2002 Quantum Inf. Comput. 2 208
[44] Martín-Delgado M A and Navascués M 2003 Phys. Rev. A 68 012322
[45] Sheng Y B, Deng F G and Zhou H Y 2008 Phys. Rev. A 77 042308
[46] Sangouard N, Simon C, Coudreau T and Gisin N 2008 Phys. Rev. A 78 050301
[47] Sheng Y B and Deng F G 2010 Phys. Rev. A 81 032307
[48] Sheng Y B and Deng F G 2010 Phys. Rev. A 82 044305
[49] Li X H 2010 Phys. Rev. A 82 044304
[50] Deng F G 2011 Phys. Rev. A 83 062316
[51] Deng F G 2011 Phys. Rev. A 84 052312
[52] Wang C, Zhang Y and Jin G S 2011 Phys. Rev. A 84 032307
[53] Wang C, Zhang Y and Zhang R 2011 Opt. Express 19 25685
[54] Gonta D and van Loock P 2011 Phys. Rev. A 84 042303
[55] Gonta D and van Loock P 2012 Phys. Rev. A 86 052312
[56] Sheng Y B, Long G L and Deng F G 2012 Phys. Lett. A 376 314
[57] Sheng Y B, Zhou L and Long G L 2013 Phys. Rev. A 88 022302
[58] Zwerger M, Briegel H J and Dür W 2013 Phys. Rev. Lett. 110 260503
[59] Wang C, Zhang R, Zhang Y and Ma H Q 2013 Quantum Inform. Process. 12 525
[60] Zwerger M, Briegel H J and Dür W 2014 Phys. Rev. A 90 012314
[61] Sheng Y B and Zhou L 2014 Laser Phys. Lett. 11 085203
[62] Ren B C, Du F F and Deng F G 2014 Phys. Rev. A 90 052309
[63] Hou S Y, Sheng Y B, Feng G R and Long G L 2014 Sci. Rep. 4 6857
[64] Morimae T and Fujii K 2013 Phys. Rev. Lett. 111 020502
[65] Sheng Y B and Zhou L 2015 Sci. Rep. 5 7815
[66] Feng X L, Gong S Q and Xu Z Z 2000 Phys. Lett. A 271 44
[67] Metwally N and Obada A S 2006 Phys. Lett. A 352 45
[68] Chi D P, Kim T and Lee S 2012 Phys. Lett. A 376 143
[69] Jafarpour M and Ashrafpouri F 2015 Quantum Inform. Process. 14 607
[70] Sheng Y B, Zhao S Y, Liu J and Zhou L 2014 Quantum Inform. Process. 13 881
[71] Li T, Ren B C, Wei H R, Hua M and Deng F G 2013 Quantum Inform. Process. 12 855
[72] Zhu M Z and Ye L 2014 Quantum Inform. Process. 13 1397
[73] Murao M, Plenio M B, Popescu S, Vedral V and Knight P L 1998 Phys. Rev. A 57 R4075
[74] Cheong Y W, Lee S W, Lee J and Lee H H 2007 Phys. Rev. A 76 042314
[75] Sheng Y B, Deng F G, Zhao B K, Wang T J and Zhou H Y 2009 Eur. Phys. J. D 55 235
[76] He Y Q, Ding D, Yan F L and Gao T 2015 J. Phys. B: At. Mol. Opt. Phys. 48 055501
[1] High-fidelity universal quantum gates for hybrid systems via the practical photon scattering
Jun-Wen Luo(罗竣文) and Guan-Yu Wang(王冠玉). Chin. Phys. B, 2023, 32(3): 030303.
[2] Unified entropy entanglement with tighter constraints on multipartite systems
Qi Sun(孙琪), Tao Li(李陶), Zhi-Xiang Jin(靳志祥), and Deng-Feng Liang(梁登峰). Chin. Phys. B, 2023, 32(3): 030304.
[3] Entanglement and thermalization in the extended Bose-Hubbard model after a quantum quench: A correlation analysis
Xiao-Qiang Su(苏晓强), Zong-Ju Xu(许宗菊), and You-Quan Zhao(赵有权). Chin. Phys. B, 2023, 32(2): 020506.
[4] Transformation relation between coherence and entanglement for two-qubit states
Qing-Yun Zhou(周晴云), Xiao-Gang Fan(范小刚), Fa Zhao(赵发), Dong Wang(王栋), and Liu Ye(叶柳). Chin. Phys. B, 2023, 32(1): 010304.
[5] Characterizing entanglement in non-Hermitian chaotic systems via out-of-time ordered correlators
Kai-Qian Huang(黄恺芊), Wei-Lin Li(李蔚琳), Wen-Lei Zhao(赵文垒), and Zhi Li(李志). Chin. Phys. B, 2022, 31(9): 090301.
[6] Nonreciprocal coupling induced entanglement enhancement in a double-cavity optomechanical system
Yuan-Yuan Liu(刘元元), Zhi-Ming Zhang(张智明), Jun-Hao Liu(刘军浩), Jin-Dong Wang(王金东), and Ya-Fei Yu(於亚飞). Chin. Phys. B, 2022, 31(9): 094203.
[7] Purification in entanglement distribution with deep quantum neural network
Jin Xu(徐瑾), Xiaoguang Chen(陈晓光), Rong Zhang(张蓉), and Hanwei Xiao(肖晗微). Chin. Phys. B, 2022, 31(8): 080304.
[8] Direct measurement of two-qubit phononic entangled states via optomechanical interactions
A-Peng Liu(刘阿鹏), Liu-Yong Cheng(程留永), Qi Guo(郭奇), Shi-Lei Su(苏石磊), Hong-Fu Wang(王洪福), and Shou Zhang(张寿). Chin. Phys. B, 2022, 31(8): 080307.
[9] Robustness of two-qubit and three-qubit states in correlated quantum channels
Zhan-Yun Wang(王展云), Feng-Lin Wu(吴风霖), Zhen-Yu Peng(彭振宇), and Si-Yuan Liu(刘思远). Chin. Phys. B, 2022, 31(7): 070302.
[10] Self-error-rejecting multipartite entanglement purification for electron systems assisted by quantum-dot spins in optical microcavities
Yong-Ting Liu(刘永婷), Yi-Ming Wu(吴一鸣), and Fang-Fang Du(杜芳芳). Chin. Phys. B, 2022, 31(5): 050303.
[11] Effects of colored noise on the dynamics of quantum entanglement of a one-parameter qubit—qutrit system
Odette Melachio Tiokang, Fridolin Nya Tchangnwa, Jaures Diffo Tchinda,Arthur Tsamouo Tsokeng, and Martin Tchoffo. Chin. Phys. B, 2022, 31(5): 050306.
[12] Analysis and improvement of verifiable blind quantum computation
Min Xiao(肖敏) and Yannan Zhang(张艳南). Chin. Phys. B, 2022, 31(5): 050305.
[13] Optimized quantum singular value thresholding algorithm based on a hybrid quantum computer
Yangyang Ge(葛阳阳), Zhimin Wang(王治旻), Wen Zheng(郑文), Yu Zhang(张钰), Xiangmin Yu(喻祥敏), Renjie Kang(康人杰), Wei Xin(辛蔚), Dong Lan(兰栋), Jie Zhao(赵杰), Xinsheng Tan(谭新生), Shaoxiong Li(李邵雄), and Yang Yu(于扬). Chin. Phys. B, 2022, 31(4): 048704.
[14] Probabilistic resumable quantum teleportation in high dimensions
Xiang Chen(陈想), Jin-Hua Zhang(张晋华), and Fu-Lin Zhang(张福林). Chin. Phys. B, 2022, 31(3): 030302.
[15] Tetrapartite entanglement measures of generalized GHZ state in the noninertial frames
Qian Dong(董茜), R. Santana Carrillo, Guo-Hua Sun(孙国华), and Shi-Hai Dong(董世海). Chin. Phys. B, 2022, 31(3): 030303.
No Suggested Reading articles found!