Operating a geometric quantum gate by external controllable parameters

doi:10.1088/1674-1056/19/1/010311

中国物理B ›› 2010, Vol. 19 ›› Issue (1): 10311-010311.doi: 10.1088/1674-1056/19/1/010311

Operating a geometric quantum gate by external controllable parameters

蔡十华¹, 乐建新¹, 王资生¹, 嵇英华²

(1)College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; (2)College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;Key Laboratory of Optoelectronic and Telecommunication of Jiangxi, Nanchang 330022, China

收稿日期:2009-05-20 修回日期:2009-06-06 出版日期:2010-01-15 发布日期:2010-01-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10864002).

Operating a geometric quantum gate by external controllable parameters

Ji Ying-Hua(嵇英华)^a)b)†, Cai Shi-Hua(蔡十华)^a), Le Jian-Xin(乐建新)^a), and Wang Zi-Sheng(王资生)^a)

^a College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; ^b Key Laboratory of Optoelectronic and Telecommunication of Jiangxi, Nanchang 330022, China

Received:2009-05-20 Revised:2009-06-06 Online:2010-01-15 Published:2010-01-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10864002).

摘要/Abstract

摘要： A scheme to perfectly preserve an initial qubit state in geometric quantum computation is proposed for a single-qubit geometric quantum gate in a nuclear magnetic resonance system. At first, by adjusting some magnetic field parameters, one can let the dynamic phase be proportional to the geometric phase. Then, by controlling the azimuthal angle in the initial state, we may realize a geometric quantum gate whose fidelity is equal to one under cyclic evolution. This means that the quantum information is no distortion in the process of geometric quantum computation.

Abstract: A scheme to perfectly preserve an initial qubit state in geometric quantum computation is proposed for a single-qubit geometric quantum gate in a nuclear magnetic resonance system. At first, by adjusting some magnetic field parameters, one can let the dynamic phase be proportional to the geometric phase. Then, by controlling the azimuthal angle in the initial state, we may realize a geometric quantum gate whose fidelity is equal to one under cyclic evolution. This means that the quantum information is no distortion in the process of geometric quantum computation.

Key words: geometric phase, geometric quantum gate, fidelity

中图分类号: (Quantum computation architectures and implementations)

03.67.Lx

02.40.-k (Geometry, differential geometry, and topology) 03.65.Vf (Phases: geometric; dynamic or topological)

嵇英华, 蔡十华, 乐建新, 王资生. Operating a geometric quantum gate by external controllable parameters[J]. 中国物理B, 2010, 19(1): 10311-010311.

Ji Ying-Hua(嵇英华), Cai Shi-Hua(蔡十华), Le Jian-Xin(乐建新), and Wang Zi-Sheng(王资生). Operating a geometric quantum gate by external controllable parameters[J]. Chin. Phys. B, 2010, 19(1): 10311-010311.

参考文献 24

[1]	Wang Z S, Kwek L C, Lai C H and Oh C H 2007 Phys. Scr. 75 494
[2]	Wang Z S, Wu C F, Feng X L, Kwek L C, Lai C H, Oh C H and Vedral V 2008 Phys. Lett. A 372 775
[3]	Zanardi P and Rasetti M 1999 Phys. Lett. A 264 94
[4]	Jones J A , Vedral V, Ekert A and Castagnoli G 2000 Nature (London) 403 869
[5]	Wang Z S, Liou G Q and Ji Y H 2009 Phys. Rev. A 79 054301
[6]	Falci G, Fazio R, Palma G M, Siewert J and Vedral V 2000 Nature (London) 407 355
[7]	Wang Z S 2009 Phys. Rev. A 79 024304
[8]	Pachos J, Zanardi P and Rasetti M 2000 Phys. Rev. A 61 010305
[9]	Zhang X D, Zhu S L, Hu L and Wang Z D 2005 Phys. Rev. A 71 014302
[10]	Leibfried D, DeMarco B, Meyer V, Lucas D, Barrett M, Britton J, Itano W M, Jelenkovic B, Langer C, Rosenband T and Wineland D J 2003 Nature 422 412
[11]	Zhu S L and Wang Z D 2003 Phys. Rev. Lett. 91 187902
[12]	Zheng S B 2004 Phys. Rev. A 70 052320
[13]	Chen C Y, Feng M, Zhang X L and Gao K L 2006 Phys. Rev. A 73 032344
[14]	Wang Z S, Wu C F, Feng X L, Kwek L C, Lai C H and Oh C H 2007 Phys. Rev. A 75 024102
[15]	Schumacher B 1995 Phys. Rev. A 51 2738
[16]	Duan L M and Guo G C 1997 Phys. Rev. A 56 4466
[17]	Yuuki T, Takashi Y, Masato K and Nobuyuki I 2006 Phys. Rev. A 74 020301
[18]	Chizhov A V, Knoll L and Welsch D G 2002 Phys. Rev. A 65 022310
[19]	Du J F, Zou P and Wang Z D 2006 Phys. Rev. A 74 020302
[20]	Ide T, Hofmann H F, Furusawa A and Kobayashi T 2002 Phys. Rev. A 65 062303
[21]	Zhu S L and Wang Z D 2002 Phys. Rev. Lett. 89 097902
[22]	Zhu S L and Wang Z D 2003 Phys. Rev. A 67 022319
[23]	Wang S J 1990 Phys. Rev. A 62 5107
[24]	Joasa R 1994 J. Mod. Opt. 41 2315

Operating a geometric quantum gate by external controllable parameters

Operating a geometric quantum gate by external controllable parameters

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