基于核磁共振的子空间量子过程重构

姚淅伟; 曾碧榕; 刘钦; 牟晓阳; 林星程; 杨春; 潘健; 陈忠

doi:10.7498/aps.59.6837

摘要

基于三核自旋量子系统实现了内嵌两量子位子空间量子过程重构.通过输入完备态集合对执行的量子过程进行了表征.由于量子过程内嵌于子空间,使得重构实验所需输入次数及时间显著减少,同时实验尽量避免使用时间较长的J偶合演化,有效控制了系统的退相干.

关键词:

Experimental investigation of subspace quantum process tomography in three-spin system was implemented via nuclear magnetic resonance. A quantum process was characterized by measuring a complete set of input states and corresponding outputs. The method using ancillary qubit remarkably reduces the number of the initial input states. And the pulse sequences used in this paper have fewer J-coupling evolutions. The experiment time was shortened and quantum decoherence of the system was weakened efficiently.

Keywords:

作者及机构信息

(1)厦门大学材料科学与工程系,厦门 361005; (2)厦门大学物理系,福建省等离子与磁共振研究重点实验室,厦门 361005

基金项目: 福建省自然科学基金(批准号:2008J0219)资助的课题.

Authors and contacts

(1)Department of Materials Science and Engineering, Xiamen University, Xiamen 361005, China; (2)Department of Physics, Fujian Provincal Key Laboratory of Plasma and Magnetic Resonance, Xiamen University, Xiamen 361005, China

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施引文献

[1]	Plenio M B, Knight P L 1996 Phys. Rev. A 53 2986
[2]	Yuan Z S, Chen Y A, Zhao B, Schmiedmayer J, Pan J W 2008 Nature 454 1098
[3]	Kim M S, Cho J 2009 Science 323 469
[4]	Du J F, Rong X, Zhao N, Wang Y, Yang J H, Liu R B 2009 Nature 461 1265
[5]	Yu T, Eberly J H 2009 Science 323 598
[6]	Guo G C, Han Z F, Hong P L, Wen H 2009 Chin. Phys. B 18 46
[7]	Chen K, Pan J W, Peng C Z, Ren J G, Yang B, Yi Z H, Zhou F 2009 Chin. Phys. B 18 3605
[8]	Cai X D, Peng C Z, Ren J G, Yin J, Zhang H, Zhou F 2009 Acta Phys. Sin. 58 5169 (in Chinese) [蔡昕东、彭承志、任继刚、印娟、张涵、周飞 2009 物理学报 58 5169]
[9]	Lu H X 2007 Chin. Phys. 16 1878
[10]	Deutsch D, Jozsa R 1992 Proc. Roy. Soc. Lond. A 439 553
[11]	Shor P W 1994 Proceedings of the 35th Annual Symposium on the Foundations of Computer Science, USA, November 20—22, Santa Fe, p124
[12]	Grover L K 1997 Phys. Rev. Lett. 79 325
[13]	Cory D G, Fahmy A F, Havel T F 1997 Proc. Natl. Acad. Sci. U.S.A. 94 1634
[14]	Barenco A, Brun T A, Schack R, Spiller T P 1997 Phys. Rev. A 56 1177
[15]	Chuang I L, Vandersypen L M K, Zhou X, Leung D W, Lloyd S 1998 Nature 393 143
[16]	Fang X M, Feng M, Gao K L, Shi L, Zhu X W 1999 Acta Phys. Sin. 48 1405 (in Chinese)[方细明、冯芒、高克林、施磊、朱熙文 1999 物理学报 48 1405]
[17]	Xue F, Du J F, Fan Y M, Shi M J, Zhou X Y, Han R D, Wu J H 2002 Acta Phys. Sin. 51 763 (in Chinese)[薛飞、杜江峰、范扬梅、石名俊、周先意、韩荣典、吴季辉 2002 物理学报 51 763] 〖18] Gershenfeld N A, Chuang I L 1997 Science 275 350
[18]	Zhao B, Chen Y A, Bao X H, Strassel T, Chuu C S, Jin X M, Schmiedmayer J, Yuan Z S, Chen S, Pan J W 2009 Nat. Phys. 5 95
[19]	Ai L Y, Yang J, Zhang Z M 2008 Acta Phys. Sin. 57 5589 (in Chinese)[艾凌艳、杨健、张智明 2009 物理学报 57 5589]
[20]	Wang J, Ye L, Yu L B 2007 Chin. Phys. 16 2211
[21]	Negrevergne C, Mahesh T S, Ryan C A, Ditty M, Cyr-Racine F, Power W, Boulant N, Havel T, Cory D G, Laflamme R 2006 Phys. Rev. Lett. 96 170501
[22]	Chuang I L, Nielsen M A 1997 J. Mod. Opt. 44 2455
[23]	Poyatos J F, Cirac J I, Zoller P 1997 Phys. Rev. Lett. 78 390
[24]	Aguado M, Brennen G K, Verstraete F, Cirac J I 2008 Phys. Rev. Lett. 101 260501
[25]	Childs A M, Chuang I L, Leung D W 1998 Phys. Rev. A 64 012314
[26]	D’Ariano G M, Presti P L 2001 Phys. Rev. Lett. 86 4195
[27]	O’Brien J L, Pryde G J, Gilchrist A, Jameset D F V, Langford N K, Ralph T C, White A G 2004 Phys. Rev. Lett. 93 080502
[28]	Riebe M, Kim K, Schindler P, Monz T, Schmidt P O, Krber T K, Hnsel W, Hffner H, Roos C F, Blatt R 2006 Phys. Rev. Lett. 97 220407
[29]	Ziman M 2008 Phys. Rev. A 78 032118
[30]	Schumacher B 1996 Phys. Rev. A 54 2614
[31]	Altepeter J B, Branning D, Jeffrey E, Wei T C, Kwiat P G, Thew R T, O’Brien J L, Nielsen M A, White A G 2003 Phys. Rev. Lett. 90 193601
[32]	Yao X W, Xue F, Pang W M, Du J F, Zhou X Y, Han R D 2006 Chin. Phys. Lett. 23 1996
[33]	Kim K, Song M, Lee S 2005 J. Kor. Phys. Soc. 47 736

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