Quantum cloning machines and their implementation in physical systems

doi:10.1088/1674-1056/22/11/110311

中国物理B ›› 2013, Vol. 22 ›› Issue (11): 110311-110311.doi: 10.1088/1674-1056/22/11/110311

所属专题： TOPICAL REVIEW — Quantum information

• TOPICAL REVIEW—Quantum information • 上一篇下一篇

Quantum cloning machines and their implementation in physical systems

吴韬^a, 方保龙^b, 叶柳^a

a School of Physics & Material Science, Anhui University, Hefei 230039, China;
b Department of Mathematics & Physics, Hefei University, Hefei 230022, China

收稿日期:2013-09-12 修回日期:2013-10-08 出版日期:2013-09-28 发布日期:2013-09-28
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11074002, 61275119, and 11247009) and the Doctoral Foundation of the Ministry of Education of China (Grant No. 20103401110003).

Quantum cloning machines and their implementation in physical systems

Wu Tao (吴韬)^a, Fang Bao-Long (方保龙)^b, Ye Liu (叶柳)^a

a School of Physics & Material Science, Anhui University, Hefei 230039, China;
b Department of Mathematics & Physics, Hefei University, Hefei 230022, China

Received:2013-09-12 Revised:2013-10-08 Online:2013-09-28 Published:2013-09-28
Contact: Ye Liu E-mail:yeliu@ahu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11074002, 61275119, and 11247009) and the Doctoral Foundation of the Ministry of Education of China (Grant No. 20103401110003).

摘要/Abstract

摘要： We review the basic theory of approximate quantum cloning for discrete variables and some schemes for implementing quantum cloning machines. Several types of approximate quantum clones and their expansive quantum clones are introduced. As for the implementation of quantum cloning machines, we review some design methods and recent experimental results.

关键词: quantum cloning machine, discrete-variable, expansive quantum clone, implementation

Abstract: We review the basic theory of approximate quantum cloning for discrete variables and some schemes for implementing quantum cloning machines. Several types of approximate quantum clones and their expansive quantum clones are introduced. As for the implementation of quantum cloning machines, we review some design methods and recent experimental results.

Key words: quantum cloning machine, discrete-variable, expansive quantum clone, implementation

中图分类号: (Quantum information)

03.67.-a

03.65.-w (Quantum mechanics)

吴韬, 方保龙, 叶柳. Quantum cloning machines and their implementation in physical systems[J]. 中国物理B, 2013, 22(11): 110311-110311.

Wu Tao (吴韬), Fang Bao-Long (方保龙), Ye Liu (叶柳). Quantum cloning machines and their implementation in physical systems[J]. Chin. Phys. B, 2013, 22(11): 110311-110311.

参考文献 121

[1]	Wootters W K and Zurek W H 1982 Nature 299 802
[2]	Bužek V and Hillery M 1996 Phys. Rev. A 54 1844
[3]	Gisin N and Massar S 1997 Phys. Rev. Lett. 79 2153
[4]	Werner R F 1998 Phys. Rev. A 58 1827
[5]	Bruss D, Ekert A and Macchiavello C 1998 Phys. Rev. Lett. 81 2598
[6]	Bruß D, DiVincenzo D P, Ekert A, Fuchs C A, Macchiavello C and Smolin J A 1998 Phys. Rev. A 57 2368
[7]	Duan L M and Guo G C 1998 Phys. Rev. Lett. 80 4999
[8]	Duan L M and Guo G C 1998 Phys. Lett. A 243 261
[9]	Scarani V, Iblisdir S, Gisin N and Acín A 2005 Rev. Mod. Phys. 77 1225
[10]	Buzek V and Hillery M 1998 Phys. Rev. Lett. 81 5003
[11]	Cerf N J 2000 Phys. Rev. Lett. 84 4497
[12]	Ghiu I 2003 Phys. Rev. A 67 012323
[13]	Gisin N and Massar S 1997 Phys. Rev. Lett. 79 2153
[14]	Werner R F 1998 Phys. Rev. A 58 1827
[15]	Bruss D, Cinchetti M, D’Ariano G M and Macchiavello C 2000 Phys. Rev. A 62 012302
[16]	Fan H, Imai H, Matsumoto K and Wang X B 2003 Phys. Rev. A 67 022317
[17]	Bartkiewicz K, Miranowicz A and Özdemir Ş K 2009 Phys. Rev. A 80 032306
[18]	Navez P and Cerf N J 2003 Phys. Rev. A 68 032313
[19]	Cerf N J 2000 J. Mod. Opt. 47 187
[20]	Han Y J, Zhang Y S and Guo G C 2002 Phys. Rev. A 66 052301
[21]	Durt T and Du J 2004 Phys. Rev. A 69 062316
[22]	Fan H, Matsumoto K, Wang X B and Wadati M 2001 Phys. Rev. A 65 012304
[23]	D’Ariano G M and Macchiavello C 2003 Phys. Rev. A 67 042306
[24]	Niu C S and Griffiths R B 1999 Phys. Rev. A 60 2764
[25]	Durt T, Fiurášek J and Cerf N 2005 Phys. Rev. A 72 052322
[26]	Fiurášek J 2003 Phys. Rev. A 67 052314
[27]	Buscemi F, D’Ariano G M and Macchiavello C 2005 Phys. Rev. A 71 042327
[28]	Delgado Y, Lamata L, León J, Salgado D and Solano E 2007 Phys. Rev. Lett. 98 150502
[29]	Zhang W H, Wu T, Ye L and Dai J L 2007 Phys. Rev. A 75 044303
[30]	Lamoureux L P, Navez P, Fiurášek J and Cerf N J 2004 Phys. Rev. A 69 040301
[31]	Karpov E, Navez P and Cerf N J 2005 Phys. Rev. A 72 042314
[32]	Fiurášek J, Iblisdir S, Massar S and Cerf N J 2002 Phys. Rev. A 65 040302
[33]	Fiurášek J and Cerf N J 2008 Phys. Rev. A 77 052308
[34]	Kato G 2010 Phys. Rev. A 82 032314
[35]	Huang Y F, Li W L, Li C F, Zhang Y S, Jiang Y K and Guo G C 2001 Phys. Rev. A 64 012315
[36]	Sciarrino F, Sias C, Ricci M and Martini F D 2004 Phys. Rev. A 70 052305
[37]	Sciarrino F and Martini F D 2005 Phys. Rev. A 72 062313
[38]	Čeernoch A, Bartůšková L, Soubusta J, Jezěk M, Fiurásěk J and Dusěk M 2006 Phys. Rev. A 74 042327
[39]	Nagali E, Angelis T D, Sciarrino F and Martini F D 2007 Phys. Rev. A 76 042126
[40]	Bartůšková L, Dusěk M, Černoch A, Soubusta J and Fiurásěk J 2007 Phys. Rev. Lett. 99 120505
[41]	Araneda G, Cisternas N, Jiménez O and Delgado A 2012 Phys. Rev. A 86 052332
[42]	Soubusta J, Bartůšková L, Černoch A, Dušuk M and Fiurásěk J 2008 Phys. Rev. A 78 052323
[43]	Cerf N J and Iblisdir S 2001 Phys. Rev. Lett. 87 247903
[44]	Fiurášek J, Cerf N J and Polzik E S 2004 Phys. Rev. Lett. 93 180501
[45]	Alexanian M 2006 Phys. Rev. A 73 045801
[46]	Sacchi M F 2007 Phys. Rev. A 75 042328
[47]	Fiurášek J and Cerf N J 2007 Phys. Rev. A 75 052335
[48]	Dong Y, Zou X, Li S and Guo G C 2007 Phys. Rev. A 76 014303
[49]	Braunstein S L, Cerf N J, Iblisdir S, van Loock P and Massar S 2001 Phys. Rev. Lett. 86 4938
[50]	Fiurášek J 2001 Phys. Rev. Lett. 86 4942
[51]	Sabuncu M, Andersen U L and Leuchs G 2007 Phys. Rev. Lett. 98 170503
[52]	Sabuncu M, Leuchs G and Andersen U L 2008 Phys. Rev. A 78 052312
[53]	Fan H, Matsumoto K and Wadati M 2001 Phys. Rev. A 64 064301
[54]	Iblisdir S, Acín A, Cerf N J, Filip R, Fiurášek J and Gisin N 2005 Phys. Rev. A 72 042328
[55]	Karimipour V and Rezakhani A T 2002 Phys. Rev. A 66 052111
[56]	Zhang W H and Ye L 2007 New J. Phys. 9 318
[57]	Zhang W H, Wu T, Ye L and Dai J L 2007 Phys. Rev. A 75 044303
[58]	Pati A K 1999 Phys. Rev. Lett. 83 2849
[59]	Zhang W H, Yu L B, Cao Z L and Ye L 2012 Phys. Rev. A 86 022322
[60]	Zou X, Pahlke K and Mathis W 2003 Phys. Rev. A 67 024304
[61]	Milman P, Ollivier H and Raimond J M 2003 Phys. Rev. A 67 012314
[62]	Zhang W H and Ye L 2006 Phys. Lett. A 353 130
[63]	Zhang W H and Ye L 2006 Phys. Lett. A 354 344
[64]	Zou X B, Dong Y L and Guo G C 2006 Phys. Lett. A 360 44
[65]	Zou X B and Mathis W 2005 Phys. Rev. A 72 024304
[66]	Zheng S B 2007 J. Phys. B 40 989
[67]	Zheng S B and Guo G C 2005 Phys. Rev. A 72 064303
[68]	Meng F, Zhu A D, Yeon K H and Yu S C 2009 J. Phys. B 42 165504
[69]	Zhu A D, Yeon K H and Yu S C 2009 J. Phys. B 42 235501
[70]	Meng F Y, Zhu A D, Yeon K H and Yu S C 2010 Phys. Scr. 81 015009
[71]	Zhang W H and Ye L 2006 Phys. Lett. A 353 130
[72]	Xiong W and Ye L 2011 J. Opt. Soc. Am. B 28 2260
[73]	Fang B L, Wu T and Ye L 2012 Quantum Inf. Comput. 12 334
[74]	Fang B L, Wu T and Ye L 2012 Europhys. Lett. 97 60002
[75]	Fang B L, Song Q M and Ye L 2011 Phys. Rev. A 83 042309
[76]	Yu T, Zhu A D and Zhang S 2012 Chin. Phys. B 21 050304
[77]	Zhou Y H, Wang L and Lai X L 2013 Chin. Phys. B 22 050305
[78]	Yu L B, Zhang W H and Ye L 2007 Phys. Rev. A 76 034303
[79]	Yu L B, Zhang W H and Ye L 2007 Phys. Lett. A 365 74
[80]	Yang J, Yu Y F, Zhang Z M and Liu S H 2008 Phys. Rev. A 77 034302
[81]	Fang B L, Yang Z and Ye L 2009 Phys. Rev. A 79 054308
[82]	Fang B L, Hu G Y and Ye L 2009 J. Phys. B 42 075501
[83]	Ye L, Jin L and Zhang W H 2009 J. Mod. Opt. 56 661
[84]	Fang B L and Ye L 2010 Phys. Lett. A 374 1966
[85]	Yang R C, Li H C, Lin X, Huang Z P, Xie H, Lin H F and Huang G R 2007 Opt. Commun. 279 399
[86]	Lu D M and Zheng S B 2008 Commun. Theor. Phys. 49 649
[87]	Yang R C, Li H C, Lin X, Huang Z P and Xie H 2008 Chin. Phys. B 17 967
[88]	Hu G Y, Wan H B and Ye L 2010 J. Opt. Soc. Am. B 27 328
[89]	Wu T, Fang B L and Ye L 2012 J. Opt. Soc. Am. B 29 2749
[90]	Simon C, Weihs G and Zeilinger A 2000 Phys. Rev. Lett. 84 2993
[91]	Martini F D, Buzek V, Sciarrino F and Sias C 2002 Nature 419 815
[92]	Fasel S, Gisin N, Ribordy G, Scarani V and Zbinden H 2002 Phys. Rev. Lett. 89 107901
[93]	Martini F D, Pelliccia D and Sciarrino F 2004 Phys. Rev. Lett. 92 067901
[94]	Ricci M, Sciarrino F, Sias C and Martini F D 2004 Phys. Rev. Lett. 92 047901
[95]	Irvine W T M, Linares A L, de Dood M J A and Bouwmeester D 2004 Phys. Rev. Lett. 92 047902
[96]	Ali Khan I and Howell J C 2004 Phys. Rev. A 70 010303
[97]	Zhao Z, Zhang A N, Zhou X Q, Chen Y A, Lu C Y, Karlsson A and Pan J W 2005 Phys. Rev. Lett. 95 030502
[98]	Bartůšková L, Dusěk M, Černoch A, Soubusta J and Fiurásěk J 2007 Phys. Rev. Lett. 99 120505
[99]	Lemr K, Bartkiewicz K and Černoch A 2012 Phys. Rev. A 85 050307
[100]	Xu J S, Li C F, Chen L, Zou X B and Guo G C 2008 Phys. Rev. A 78 032322
[101]	Nagali E, Giovannini D, Marrucci L, Slussarenko S, Santamato E and Sciarrino F 2010 Phys. Rev. Lett. 105 073602
[102]	Nagali E, Sansoni L, Sciarrino F, Martini F D, Marrucci L, Piccirillo B, Karimi E and Santamato E 2009 Nat. Photon. 3 720
[103]	Raeisi S, Tittel W and Simon C 2012 Phys. Rev. Lett. 108 120404
[104]	Zou X and Mathis W 2005 Phys. Rev. A 72 022306
[105]	Zou X, Li K and Guo G C 2007 Phys. Lett. A 366 36
[106]	Zhang W H and Ye L 2009 Opt.Commun. 282 2650
[107]	Hu G Y, Zhang W H and Ye L 2010 Opt. Commun. 283 200
[108]	Wan H B and Ye L 2010 Commun. Theor. Phys. 53 1087
[109]	Cummins H K, Jones C, Furze A, Soffe N F, Mosca M, Peach J M and Jones J A 2002 Phys. Rev. Lett. 88 187901
[110]	Jiang Z, Chen Q and Wan S L 2007 Phys. Rev. A 76 034302
[111]	Chen Y H, Shao X Q, Zhu A D, Yeon K H and Yu S C 2010 Phys. Rev. A 81 032338
[112]	Raimond J M, Brune M and Haroche S 2001 Rev. Mod. Phys. 73 565
[113]	Saffman M, Walker T G and Molmer K 2010 Rev. Mod. Phys. 82 2313
[114]	Duan L M and Monroe C 2010 Rev. Mod. Phys. 82 1209
[115]	Kok P, Munro W J, Nemoto K, Ralph T C, Dowling J P and Milburn G J 2007 Rev. Mod. Phys. 79 135
[116]	Černoch A, Bartůšková L, Soubusta J, Jezěk M, Fiurásěk J and Dusěk M 2006 Phys. Rev. A 74 042327
[117]	Lamas L A, Simon C, Howell J C and Bouwmeester D 2002 Science 296 712
[118]	Xiang G Y, Ralph T C, Lund A P, Walk N and Pryde G J 2010 Nat. Photon. 4 316
[119]	Du J, Durt T, Zou P, Li H, Kwek L C, Lai C H, Oh C H and Ekert A 2005 Phys. Rev. Lett. 94 040505
[120]	Chen H, Zhou X, Suter D and Du J 2007 Phys. Rev. A 75 012317
[121]	Chang Y C, Liu G Q, Liu D Q, Fan H and Pan X Y 2013 Sci. Rep. 3 1498

Quantum cloning machines and their implementation in physical systems

Quantum cloning machines and their implementation in physical systems

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 121

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Xiaodong Jiao(焦晓东), Mingfeng Yuan(袁明峰), Jin Tao(陶金), Hao Sun(孙昊), Qinglin Sun(孙青林), and Zengqiang Chen(陈增强). Memristor hyperchaos in a generalized Kolmogorov-type system with extreme multistability[J]. 中国物理B, 2023, 32(1): 10507-010507.
[2]	Ruo-Ting Yang(杨若婷), Xin-Yi Xue(薛新伊), Shu-Cheng Yang(杨树澄), Xiao-Ping Gao(高小平), Jie Ren(任洁), Wei Yan(严伟), and Zhen Wang(王镇). Implementation of an 8-bit bit-slice AES S-box with rapid single flux quantum circuits[J]. 中国物理B, 2022, 31(9): 98501-098501.
[3]	Rui Wang(王蕊), Meng-Yang Li(李孟洋), and Hai-Jun Luo(罗海军). Exponential sine chaotification model for enhancing chaos and its hardware implementation[J]. 中国物理B, 2022, 31(8): 80508-080508.
[4]	Yi-Zi Cheng(承亦梓), Fu-Hong Min(闵富红), Zhi Rui(芮智), and Lei Zhang(张雷). Heterogeneous dual memristive circuit: Multistability, symmetry, and FPGA implementation[J]. 中国物理B, 2021, 30(12): 120502-120502.
[5]	Zong-Li Yang(杨宗立), Dong Liang(梁栋), Da-Wei Ding(丁大为), Yong-Bing Hu(胡永兵), and Hao Li(李浩). Transient transition behaviors of fractional-order simplest chaotic circuit with bi-stable locally-active memristor and its ARM-based implementation[J]. 中国物理B, 2021, 30(12): 120515-120515.
[6]	张盛. Probabilistic direct counterfactual quantum communication[J]. 中国物理B, 2017, 26(2): 20304-020304.
[7]	张朝霞, 禹思敏. A novel methodology for constructing a multi-wing chaotic and hyperchaotic system with a unified step function switching control[J]. 中国物理B, 2016, 25(5): 50503-050503.
[8]	王倩雪, 禹思敏, C. Guyeux, J. Bahi, 方晓乐. Study on a new chaotic bitwise dynamical system and its FPGA implementation[J]. 中国物理B, 2015, 24(6): 60503-060503.
[9]	董冬, 张延磊, 邹长铃, 邹旭波, 郭光灿. Scheme for purifying a general mixed entangled state and its linear optical implementation[J]. 中国物理B, 2015, 24(10): 100306-100306.
[10]	薛薇, 齐国元, 沐晶晶, 贾红艳, 郭彦岭. Hopf bifurcation analysis and circuit implementation for a novel four-wing hyper-chaotic system[J]. 中国物理B, 2013, 22(8): 80504-080504.
[11]	周彦辉, 王磊, 赖晓磊. Scheme for implementing economical phase-covariant quantum cloning machine of distant atomic qubits with single-photon interference[J]. 中国物理B, 2013, 22(5): 50305-050305.
[12]	詹佑邦, 李晓薇, 马鹏程, 施锦. Controlled remote implementation of quantum operations with high-dimensional systems[J]. Chin. Phys. B, 2013, 22(4): 40306-040306.
[13]	刘文波, 邓榤生, 陈关荣. Forming and implementing a hyperchaotic system with rich dynamics[J]. 中国物理B, 2011, 20(9): 90510-090510.
[14]	林秋镇, 黄国和, 陈剑勇. An efficient chaotic source coding scheme with variable-length blocks[J]. 中国物理B, 2011, 20(7): 70501-070501.
[15]	贾红艳, 陈增强, 袁著祉. A novel one equilibrium hyper-chaotic system generated upon Lü attractor[J]. 中国物理B, 2010, 19(2): 20507-020507.