Optimal 1→M phase-covariant cloning in three dimensions

doi:10.1088/1674-1056/23/7/070304

›› 2014, Vol. 23 ›› Issue (7): 70304-070304.doi: 10.1088/1674-1056/23/7/070304

Optimal 1→M phase-covariant cloning in three dimensions

张文海^a, 余龙宝^b, 曹卓良^b, 叶柳^c

a Department of Physics, Huainan Normal University, Huainan 232001, China;
b School of Electronic and Information Engineering, Hefei Normal University, Hefei 230061, China;
c School of Physics and Material Science, Anhui University, Hefei 230039, China

收稿日期:2013-08-23 修回日期:2014-01-08 出版日期:2014-07-15 发布日期:2014-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11074002, 61073048, and 11104057), the Natural Science Foundation of the Education Department of Anhui Province, China (Grant Nos. KJ2010ZD08 and KJ2012A245), and the Postgraduate Program of Huainan Normal University of China.

Optimal 1→M phase-covariant cloning in three dimensions

Zhang Wen-Hai (张文海)^a, Yu Long-Bao (余龙宝)^b, Cao Zhuo-Liang (曹卓良)^b, Ye Liu (叶柳)^c

a Department of Physics, Huainan Normal University, Huainan 232001, China;
b School of Electronic and Information Engineering, Hefei Normal University, Hefei 230061, China;
c School of Physics and Material Science, Anhui University, Hefei 230039, China

Received:2013-08-23 Revised:2014-01-08 Online:2014-07-15 Published:2014-07-15
Contact: Zhang Wen-Hai E-mail:zhangwenhaianhui@aliyun.com
About author:03.67.-a; 03.65.-w
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11074002, 61073048, and 11104057), the Natural Science Foundation of the Education Department of Anhui Province, China (Grant Nos. KJ2010ZD08 and KJ2012A245), and the Postgraduate Program of Huainan Normal University of China.

摘要/Abstract

摘要： In this paper, we derive the explicit transformations of the optimal 1→3, 4, 5 phase-covariant cloning in three dimensions, and then generalize them to the cases of 1→M = 3n, 3n+1, 3n+2 (n≥1 integer) cloning. The clone fidelities are coincident with the theoretical bounds found.

关键词: quantum cloning, universal quantum cloning, phase-covariant cloning

Abstract: In this paper, we derive the explicit transformations of the optimal 1→3, 4, 5 phase-covariant cloning in three dimensions, and then generalize them to the cases of 1→M = 3n, 3n+1, 3n+2 (n≥1 integer) cloning. The clone fidelities are coincident with the theoretical bounds found.

Key words: quantum cloning, universal quantum cloning, phase-covariant cloning

中图分类号: (Quantum information)

03.67.-a

03.65.-w (Quantum mechanics)

张文海, 余龙宝, 曹卓良, 叶柳. Optimal 1→M phase-covariant cloning in three dimensions[J]. , 2014, 23(7): 70304-070304.

Zhang Wen-Hai (张文海), Yu Long-Bao (余龙宝), Cao Zhuo-Liang (曹卓良), Ye Liu (叶柳). Optimal 1→M phase-covariant cloning in three dimensions[J]. Chin. Phys. B, 2014, 23(7): 70304-070304.

参考文献 39

[1]	Wootters W K and Zurek W H 1982 Nature 299 802
[2]	Gisin N, Ribordy G, Tittel W and Zbinden H 2002 Rev. Mod. Phys. 74 145
[3]	Bužek V and Hillery M 1996 Phys. Rev. A 54 1844
[4]	Wu T, Fang B L and Ye L 2013 Chin. Phys. B 22 110311
[5]	Gisin N and Massar S 1997 Phys. Rev. Lett. 79 2153
[6]	Werner R F 1998 Phys. Rev. A 58 1827
[7]	Cerf N J 2000 Phys. Rev. Lett. 84 4497
[8]	Iblisdir S, Acín A, Cerf N J, Filip R, Fiurášek J and Gisin N 2005 Phys. Rev. A 72 042328
[9]	Zhang W H, Yu L B, Yang M and Cao Z L 2012 Sci China-Phys. Mech. Astron. 55 60
[10]	Bruβ D, Cinchetti M, D'Ariano G M and Macchiavello C 2000 Phys. Rev. A 62 012302
[11]	Fan H, Matsumoto K, Wang X B and Wadati M 2001 Phys. Rev. A 65 012304
[12]	Fan H, Imai H, Matsumoto K and Wang X B 2003 Phys. Rev. A 67 022317
[13]	D'Ariano G M and Macchiavello C 2003 Phys. Rev. A 67 042306
[14]	Buscemi F, D'Ariano G M and Macchiavello C 2005 Phys. Rev. A 71 042327
[15]	Zhang W H and Ye L 2007 New J. Phys. 9 318
[16]	Zhang W H and Ye L 2009 Chin. Phys. B 18 3702
[17]	Bruss D, Ekert A and Macchiavello C 1998 Phys. Rev. Lett. 81 2598
[18]	Macchiavello C 2003 Phys. Rev. A 67 062302
[19]	D'Ariano G M, Macchiavello C and Perinotti P 2005 Phys. Rev. A 72 042327
[20]	Bae J and Acín A 2006 Phys. Rev. Lett. 97 030402
[21]	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
[22]	Du J F, Durt T, Zou P, Li H, Kwek L C, Lai C H, Oh C H and Eker A 2005 Phys. Rev. Lett. 94 040505
[23]	Chen H W, Zhou X Y, Suter D and Du J F 2007 Phys. Rev. A 75 012317
[24]	Bartušková L, Dušek M, Cernoch A Soubusta J and Fiurášek J 2007 Phys. Rev. Lett. 99 120505
[25]	Xu J S, Li C F, Chen L, Zou X B and Guo G C 2008 Phys. Rev. A 78 032322
[26]	Lamoureux L P, Navez P, Fiurášek J and Cerf N J 2004 Phys. Rev. A 69 040301
[27]	Karpov E, Navez P and Cerf N J 2005 Phys. Rev. A 72 042314
[28]	Fiurášek J, Iblisdir S, Massar S and Cerf N J 2002 Phys. Rev. A 65 040302
[29]	Kato G 2010 Phys. Rev. A 82 032314
[30]	Zhan Y B 2008 Chin. Phys. B 17 411
[31]	Dai J L and Zhang W H 2009 Chin. Phys. B 18 426
[32]	Song Q M and Ye L 2010 Chin. Phys. B 19 080309
[33]	Zhou Y H 2011 Chin. Phys. B 20 080305
[34]	Zhou Y H, Wang L and Lai X L 2013 Chin. Phys. B 22 050305
[35]	Enk S V 2005 Phys. Rev. Lett. 95 010502
[36]	Ricci M, Sciarrino F, Cerf N J, Filip R, Fiuráše J and Martini F D 2005 Phys. Rev. Lett. 95 090504
[37]	Chiribella G and D'Ariano G M 2006 Phys. Rev. Lett. 97 250503
[38]	Zhang W H, Yu L B, Cao Z L and Ye Liu 2013 Chin. Phys. B 22 030312
[39]	Bennett C H and Brassard G 1984 Proceedings of IEEE International Conference on Computers, Systum and Singnal Processing, December 10-19, 1984 Bangalore, India, p. 175

Optimal 1→M phase-covariant cloning in three dimensions

Optimal 1→M phase-covariant cloning in three dimensions

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