Direct measurement of the concurrence for two-qubit electron spin entangled pure state based on charge detection

doi:10.1088/1674-1056/24/7/070309

中国物理B ›› 2015, Vol. 24 ›› Issue (7): 70309-070309.doi: 10.1088/1674-1056/24/7/070309

Direct measurement of the concurrence for two-qubit electron spin entangled pure state based on charge detection

刘炯^{a b}, 周澜^{a c}, 盛宇波^{a b}

a Key Laboratory of Broadband Wireless Communication and Sensor Network Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
b Institute of Signal Processing Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
c College of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

收稿日期:2015-01-06 修回日期:2015-01-19 出版日期:2015-07-05 发布日期:2015-07-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11474168 and 61401222), the Qing Lan Project in Jiangsu Province, China, and the Priority Academic Development Program of Jiangsu Higher Education Institutions, China.

Direct measurement of the concurrence for two-qubit electron spin entangled pure state based on charge detection

Liu Jiong (刘炯)^{a b}, Zhou Lan (周澜)^{a c}, Sheng Yu-Bo (盛宇波)^{a b}

a Key Laboratory of Broadband Wireless Communication and Sensor Network Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
b Institute of Signal Processing Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
c College of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

Received:2015-01-06 Revised:2015-01-19 Online:2015-07-05 Published:2015-07-05
Contact: Sheng Yu-Bo E-mail:shengyb@njupt.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11474168 and 61401222), the Qing Lan Project in Jiangsu Province, China, and the Priority Academic Development Program of Jiangsu Higher Education Institutions, China.

摘要/Abstract

摘要：

We propose a protocol for directly measuring the concurrence of a two-qubit electronic pure entangled state. To complete this task, we first design a parity-check measurement (PCM) which is constructed by two polarization beam splitters (PBSs) and a charge detector. By using the PCM for three rounds, we can achieve the concurrence by calculating the total probability of picking up the odd parity states from the initial states. Since the conduction electron may be a good candidate for the realization of quantum computation, this protocol may be useful in future solid quantum computation.

关键词: quantum computation, parity check measurement, entanglement

Abstract:

Key words: quantum computation, parity check measurement, entanglement

中图分类号: (Quantum communication)

03.67.Hk

03.65.Ud (Entanglement and quantum nonlocality) 03.67.Lx (Quantum computation architectures and implementations)

刘炯, 周澜, 盛宇波. Direct measurement of the concurrence for two-qubit electron spin entangled pure state based on charge detection[J]. 中国物理B, 2015, 24(7): 70309-070309.

Liu Jiong (刘炯), Zhou Lan (周澜), Sheng Yu-Bo (盛宇波). Direct measurement of the concurrence for two-qubit electron spin entangled pure state based on charge detection[J]. Chin. Phys. B, 2015, 24(7): 70309-070309.

参考文献 65

[1]	Bennett C H, Brassard G, Crépeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
[2]	Ekert A K 1991 Phys. Rev. Lett. 67 661
[3]	Su X L 2014 Chin. Sci. Bull. 59 1083
[4]	Zhao S M, Gong L Y, Li Y Q, Yang H, Sheng Y B and Cheng W W 2013 Chin. Phys. Lett. 30 060305
[5]	Zou Y Y, Zou X J, Tian P G and Wang Y J 2013 Chin. Phys. B 22 010305
[6]	Zhao L Y, Li H W, Yin Z Q, Chen W, You J and Han Z F 2014 Chin. Phys. B 23 100304
[7]	Deng F G, Long G L and Liu X S 2003 Phys. Rev. A 68 042317
[8]	Long G L and Liu X 2002 Phys. Rev. A 65 032302
[9]	Chang Y, Xu C X, Zhang S B and Yan L 2013 Chin. Sci. Bull. 58 4571
[10]	Chang Y, Xu C X, Zhang S B and Yan L 2014 Chin. Sci. Bull. 59 2541
[11]	Chang Y, Zhang S B and Yan L L 2013 Chin Phys. Lett. 30 090301
[12]	Hong C H, Heo J, Lim J I and Yang H J 2014 Chin. Phys. B 23 090309
[13]	Chang Y, Zhang S B, Yan L L and Sheng Z W 2013 Chin. Phys. Lett. 30 050301
[14]	Gu B, Huang Y G, Fang X and Chen Y L 2013 Int. J. Theor. Phys. 52 4461
[15]	Gu B, Xu F, Ding L G and Zhang Y A 2012 Int. J. Theor. Phys. 51 3559
[16]	Liu Y 2013 Chin. Sci. Bull. 58 2927
[17]	Liu Y and Ou-Yang X P 2013 Chin. Sci. Bull. 58 2329
[18]	Zheng C and Long G F 2014 Sci. Chin.: Phys. Mecha. Astro. 57 1238
[19]	Su X L, Jia X J, Xie C D and Peng K C 2014 Sci. Chin.: Phys. Mecha. Astro. 57 1210
[20]	Heilmann R, Gräfe M, Nolte S and Szameit A 2015 Sci. Bull. 60 96
[21]	Xu J S and Li C F 2015 Sci. Bull. 60 141
[22]	Gühne O, Hyllus P, Bruss D, Ekret A, Lewenstein M, Macchiavello C and Sanpera A 2002 Phys. Rev. A 66 062305
[23]	Salles A, de Melo F, Retamal J C, de Matos Filho R L and Zagury N 2006 Phys. Rev. A 74 060303(R)
[24]	Horodecki P 2003 Phys. Rev. Lett. 90 167901
[25]	Thew R T, Nemoto K, White A G and Munro W J 2002 Phys. Rev. A 66 012303
[26]	James D F V, Kwiat P G, Munro W J and White A G 2001 Phys. Rev. A 64 052312
[27]	Kiesel N, Schmid C, Tóth G, Solano E and Weinfurter H 2007 Phys. Rev. Lett. 98 063604
[28]	White A G, James D F V, Eberhard P H and Kwiat P G 1999 Phys. Rev. Lett. 83 3103
[29]	Rehacek J, Englert B G and Kaszlikowski D 2004 Phys. Rev. A 70 052321
[30]	Ling A, Soh K P, Lamas-Linares A and Kurtsiefer C 2006 Phys. Rev. A 74 022309
[31]	Tóthl G and Gühne O 2005 Phys. Rev. Lett. 94 060501
[32]	Bovino F A, Castagnoli G, Ekert A, Horodecki P, Alves C M and Sergienko A V 2005 Phys. Rev. Lett. 95 240407
[33]	Wang H F and Zhang S 2009 Chin. Phys. B 18 2642
[34]	Mohammadi M, Brańczyk A M and James D F V 2013 Phys. Rev. A 87 012117
[35]	Lewenstein M, Kraus B, Cirac J I and Horodecki P 2000 Phys. Rev. A 62 052310
[36]	Bennett C H, DiVincenzo D P, Smolin J A and Wootters W K 1996 Phys. Rev. A 54 3824
[37]	Hill S and Wootters W K 1997 Phys. Rev. Lett. 78 5022
[38]	Wootters W K 1998 Phys. Rev. Lett. 80 2445
[39]	Wootters W K 2001 Quant. Inf. Comput. 1 27
[40]	Walborn S P, Souto Ribeiro P H, Davidovich L, Mintert F and Buchleitner A 2006 Nature 440 1022
[41]	Romero G, López C E, Lastra F, Solano E and Retamal J C 2007 Phys. Rev. A 75 032303
[42]	Lee S M, Ji S W, Lee H W and Zubairy M S 2008 Phys. Rev. A 77 040301(R)
[43]	Zhang L H, Yang M and Cao Z L 2013 Phys. Lett. A 377 1421
[44]	Zhang L H, Yang Q, Yang M, Song W and Cao Z L 2013 Phys. Rev. A 88 062342
[45]	Zhou L and Sheng Y B 2014 Phys. Rev. A 90 024301
[46]	Beenakker C W J, DiVincenzo D P, Emary C and Kindermann M 2004 Phys. Rev. Lett. 93 020501
[47]	Field M, Smith C G, Pepper M, Pitchie D A, Frost J E F, Jones G A C and Hasko D G 1993 Phys. Rev. Lett. 70 1311
[48]	Feng X L, Kwek L C and Oh C H 2005 Phys. Rev. A 71 064301
[49]	Sheng Y B, Deng F G and Long G L 2011 Phys. Lett. A 375 396
[50]	Li T, Ren B C, Wei H R, Hua M and Deng F G 2013 Quantum. Inf. Process. 12 855
[51]	Sheng Y B, Deng F G and Zhou H Y 2009 Phys. Lett. A 373 1823
[52]	Ren B C, Hua M, Li T, Du F F and Deng F G 2012 Chin. Phys. B 21 090303
[53]	Zhou L 2013 Quantum. Inf. Process. 12 2087
[54]	Liu J, Zhao S Y, Zhou L and Sheng Y B 2014 Chin. Phys. B 23 020313
[55]	Ren B C, Wei H R, Li T, Huang M and Deng F G 2014 Quant. Inf. Process. 13 825
[56]	Gu B, Huang Y and Wang H 2014 Int. J. Theor. Phys. 53 1337
[57]	Sheng Y B, Feng Z F, Ou-Yang Y, Qu C C and Zhou L 2014 Chin. Phys. Lett. 31 050303
[58]	Zhang X L, Feng M and Gao K L 2006 Phys. Rev. A 73 014301
[59]	Ionicioiu R 2007 Phys. Rev. A 75 032339
[60]	Ji Y Q, Jin Z, Zhu A D, Wang H F and Zhang S 2014 Chin. Phys. B 23 050306
[61]	Wang C, He L Y, Zhang Y, Ma H Q and Zhang R 2013 Sci. Chin.: Phys. Mecha. Astro. 56 2054
[62]	Chiu Y J, Chen X and Chuang I L 2013 Phys. Rev. A 87 012305
[63]	Ionicioiu R and D'Amico I 2003 Phys. Rev. B 67 041307(R)
[64]	Elzerman J M, Hanson R, van Beveren W L H, Vandersypen L M K and Kouwenhoven L P 2004 Appl. Phys. Lett. 84 4617
[65]	Shaner E A and Lyon S A 2004 Phys. Rev. Lett. 93 037402

Direct measurement of the concurrence for two-qubit electron spin entangled pure state based on charge detection

Direct measurement of the concurrence for two-qubit electron spin entangled pure state based on charge detection

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 65

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Jun-Wen Luo(罗竣文) and Guan-Yu Wang(王冠玉). High-fidelity universal quantum gates for hybrid systems via the practical photon scattering[J]. 中国物理B, 2023, 32(3): 30303-030303.
[2]	Qi Sun(孙琪), Tao Li(李陶), Zhi-Xiang Jin(靳志祥), and Deng-Feng Liang(梁登峰). Unified entropy entanglement with tighter constraints on multipartite systems[J]. 中国物理B, 2023, 32(3): 30304-030304.
[3]	Xiao-Qiang Su(苏晓强), Zong-Ju Xu(许宗菊), and You-Quan Zhao(赵有权). Entanglement and thermalization in the extended Bose-Hubbard model after a quantum quench: A correlation analysis[J]. 中国物理B, 2023, 32(2): 20506-020506.
[4]	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). Transformation relation between coherence and entanglement for two-qubit states[J]. 中国物理B, 2023, 32(1): 10304-010304.
[5]	Kai-Qian Huang(黄恺芊), Wei-Lin Li(李蔚琳), Wen-Lei Zhao(赵文垒), and Zhi Li(李志). Characterizing entanglement in non-Hermitian chaotic systems via out-of-time ordered correlators[J]. 中国物理B, 2022, 31(9): 90301-090301.
[6]	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). Nonreciprocal coupling induced entanglement enhancement in a double-cavity optomechanical system[J]. 中国物理B, 2022, 31(9): 94203-094203.
[7]	Jin Xu(徐瑾), Xiaoguang Chen(陈晓光), Rong Zhang(张蓉), and Hanwei Xiao(肖晗微). Purification in entanglement distribution with deep quantum neural network[J]. 中国物理B, 2022, 31(8): 80304-080304.
[8]	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). Direct measurement of two-qubit phononic entangled states via optomechanical interactions[J]. 中国物理B, 2022, 31(8): 80307-080307.
[9]	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). Robustness of two-qubit and three-qubit states in correlated quantum channels[J]. 中国物理B, 2022, 31(7): 70302-070302.
[10]	Min Xiao(肖敏) and Yannan Zhang(张艳南). Analysis and improvement of verifiable blind quantum computation[J]. 中国物理B, 2022, 31(5): 50305-050305.
[11]	Yong-Ting Liu(刘永婷), Yi-Ming Wu(吴一鸣), and Fang-Fang Du(杜芳芳). Self-error-rejecting multipartite entanglement purification for electron systems assisted by quantum-dot spins in optical microcavities[J]. 中国物理B, 2022, 31(5): 50303-050303.
[12]	Odette Melachio Tiokang, Fridolin Nya Tchangnwa, Jaures Diffo Tchinda,Arthur Tsamouo Tsokeng, and Martin Tchoffo. Effects of colored noise on the dynamics of quantum entanglement of a one-parameter qubit—qutrit system[J]. 中国物理B, 2022, 31(5): 50306-050306.
[13]	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). Optimized quantum singular value thresholding algorithm based on a hybrid quantum computer[J]. 中国物理B, 2022, 31(4): 48704-048704.
[14]	Ying-Hai Wu(吴英海). Entanglement spectrum of non-Abelian anyons[J]. 中国物理B, 2022, 31(3): 37302-037302.
[15]	Xiang Chen(陈想), Jin-Hua Zhang(张晋华), and Fu-Lin Zhang(张福林). Probabilistic resumable quantum teleportation in high dimensions[J]. 中国物理B, 2022, 31(3): 30302-030302.