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Subspace quantum process tomography via nuclear magnetic resonance

Yao Xi-Wei Zeng Bi-Rong Liu Qin Mu Xiao-Yang Lin Xing-Cheng Yang Chun Pan Jian Chen Zhong

Subspace quantum process tomography via nuclear magnetic resonance

Yao Xi-Wei, Zeng Bi-Rong, Liu Qin, Mu Xiao-Yang, Lin Xing-Cheng, Yang Chun, Pan Jian, Chen Zhong
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  • 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.
    • Funds:
    [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

  • [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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  • Received Date:  31 December 2009
  • Accepted Date:  30 January 2010
  • Published Online:  05 May 2010

Subspace quantum process tomography via nuclear magnetic resonance

  • 1. (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

Abstract: 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.

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