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核磁共振量子信息处理研究的新进展

孔祥宇 朱垣晔 闻经纬 辛涛 李可仁 龙桂鲁

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核磁共振量子信息处理研究的新进展

孔祥宇, 朱垣晔, 闻经纬, 辛涛, 李可仁, 龙桂鲁

New research progress of nuclear magnetic resonance quantum information processing

Kong Xiang-Yu, Zhu Yuan-Ye, Wen Jing-Wei, Xin Tao, Li Ke-Ren, Long Gui-Lu
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  • 过去的二十年中,量子信息相关研究取得了显著的进展,重要的理论和实验工作不断涌现.与其他量子信息处理系统相比,基于自旋动力学的核磁共振系统,不仅具有丰富而且成熟的控制技术,还拥有相干时间长、脉冲操控精确、保真度高等优点.这也是核磁共振体量子系统能够精确操控多达12比特的量子系统的原因.因此,核磁共振量子处理器在量子信息领域一直扮演着重要角色.本文介绍核磁共振量子计算的基本原理和一些新研究进展.研究的新进展主要包括量子噪声注入技术、量子机器学习在核磁共振平台上的实验演示、高能物理和拓扑序的量子模拟以及核磁共振量子云平台等.最后讨论了液态核磁共振的发展前景和发展瓶颈,并对未来发展方向提出展望.
    In the last 20 years, there have been lots of novel developments and remarkable achievements in quantum information processing theoretically and experimentally. Among them, the coherent control of nuclear spin dynamics is a powerful tool for the experimental implementation of quantum schemes in liquid and solid nuclear magnetic resonance (NMR) system, especially in liquid-state NMR. Compared with other quantum information processing systems, NMR platform has many advantages such as the long coherence time, the precise manipulation and well-developed quantum control techniques, which make it possible to accurately control a quantum system with up to 12-qubits. Extensive applications of liquid-state NMR spectroscopy in quantum information processing such as quantum communication, quantum computing and quantum simulation have been thoroughly studied over half a century. There are also many outstanding researches in the recent several years. So we focus on the recent researches in this review article. First, we introduce the basic principle of the liquid-state NMR quantum computing and two new methods reported in the pseudo-pure state preparation which has more advantages than the traditional methods. The quantum noise-injection methods and the quantum tomography technology in liquid-state NMR are also mentioned. Then we overview Horrow-Hassidim-Lioyd algorithm, quantum support vector machine algorithm, duality quantum computing and their implementations in liquid-state NMR system. Also, we report recent researches about quantum simulations, including quantum tunneling, high-energy physics and topological sequences. Then we display the quantum cloud platform of our group. In order to let more people, either amateurs or professionals, embrace and more importantly participate in the tidal wave of quantum science, we launch our NMR quantum cloud computing (NMRCloudQ) service. Through NMRCloudQ, we offer a direct access to a real, physical spectrometer in our laboratory and encourage users to explore quantum phenomena and demonstrate quantum algorithms. Finally, we discuss the development prospects and development bottlenecks of NMR, and point out the prospects for the future development direction.
      通信作者: 龙桂鲁, gllong@tsinghua.edu.cn
    • 基金项目: 国家重点基础研究发展计划(批准号:2011CB9216002)、国家重点研发计划(批准号:2017YFA0303700)和国家自然科学基金(批准号:91221205,11774197,61727801)资助的课题.
      Corresponding author: Long Gui-Lu, gllong@tsinghua.edu.cn
    • Funds: Project supported by the Natioanl Basic Research Program of China (Grant No. 2011CB9216002), the National High Technology Research and Development Program of China (Grant No. 2017YFA0303700), and the National Natural Science Foundation of China (Grant Nos. 91221205, 11774197, 61727801).
    [1]

    Benioff P 1980 J. Statist. Phys. 22 563

    [2]

    Feynman R P 1982 Int. J. Theor. Phys. 21 467

    [3]

    Manin Y I 1980 Sov. Radio. 2 1315

    [4]

    DiVincenzo D P 2000 Fortschritte der Physik 48 771

    [5]

    Chuang I L, Gershenfeld N, Kubinec M G, Leung D W 1998 Proc. R. Soc. Lond. A 454 447

    [6]

    Knill E, Laflamme R 1998 Phys. Rev. Lett. 81 5672

    [7]

    Cory D G, Fahmy A F, Havel T F 1997 Proc. R. Soc. A 94 1634

    [8]

    Vandersypen L M, Chuang I L 2005 Rev. Mod. Phys. 76 1037

    [9]

    Khaneja N, Reiss T, Kehlet C, Schulte-Herbruggen T, Glaser S J 2005 J. Magn. Reson. 172 296

    [10]

    Li J, Yang X, Peng X, Sun C P 2017 Phys. Rev. Lett. 118 150503

    [11]

    Lu D, Li K, Li J, Katiyar H, Park A J, Feng G R, Xin T, Li H, Long G L, Brodutch A, Baugh J, Zeng B, Laflamme R 2017 npj Quantum Inform. 3 45

    [12]

    Rebentrost P, Schuld M, Petruccione F, Lloyd S 2016 arXiv:1612.01789v2 [quant-ph]

    [13]

    Ryan C A, Negrevergne C, Laforest M, Knill E, Laflamme R 2008 Phys. Rev. A 78 012328

    [14]

    Knill E, Laflamme R, Martinez R, Tseng C H 2000 Nature 404 368

    [15]

    Fung B M, Khitrin A K, Ermolaev K 2000 J. Magn. Reson. 142 97

    [16]

    Waugh J S, Huber L M, Haeberlen U 1968 Phys. Rev. Lett. 20 180

    [17]

    Shaka A J, Keeler J, Frenkiel T, Freeman R A Y 1983 J. Magn. Reson. 52 335

    [18]

    Viola L, Knill E, Lloyd S 1999 Phys. Rev. Lett. 82 2417

    [19]

    Souza A M, Alvarez G A, Suter D 2011 Phys. Rev. Lett. 106 240501

    [20]

    Zhen X L, Zhang F H, Feng G, Li H, Long G L 2016 Phys. Rev. A 93 022304

    [21]

    Zhang J, Souza A M, Brandao F D, Suter D 2014 Phys. Rev. Lett. 112 050502

    [22]

    West J R, Lidar D A, Fong B H, Gyure M F 2010 Phys. Rev. Lett. 105 230503

    [23]

    Aharonov D, van Dam W, Kempe J, Landau Z, Lloyd S, Regev O 2008 SIAM Rev. 50 755

    [24]

    Childs A M, Farhi E, Preskill J 2001 Phys. Rev. A 65 012322

    [25]

    Gaitan F, Clark L 2012 Phys. Rev. Lett. 108 010501

    [26]

    Jonathan A, Jones J A, Mosca M, Hansen R H 1998 Nature 393 344

    [27]

    Long G L 2001 Phys. Rev. A 64 022307

    [28]

    Liu Y, Zhang F 2015 Sci. China: Phys. Mech. Astron. 58 1

    [29]

    Vandersypen L M, Steffen M, Breyta G, Yannoni C S, Sherwood M H, Chuang I L 2001 Nature 414 883

    [30]

    Chuang I L, Vandersypen L M K, Zhou X, Leung D W, Lloyd S 1998 Nature 393 143

    [31]

    Vandersypen L M, Steffen M, Breyta G, Yannoni C S, Cleve R, Chuang I L 2000 Phys. Rev. Lett. 85 5452

    [32]

    Peng X, Zhu X, Fang X, Feng M, Liu M, Gao K 2002 Phys. Rev. A 65 042315

    [33]

    Pan J, Cao Y, Yao X, Li Z, Ju C, Chen H 2014 Phys. Rev. A 89 022313

    [34]

    Feng G, Xu G, Long G 2013 Phys. Rev. Lett. 110 190501

    [35]

    Li H, Liu Y, Long G 2017 Sci. China: Phys. Mech. Astron. 60 080311

    [36]

    Long G L, Qin W, Yang Z, Li J L 2018 Sci. China: Phys. Mech. Astron. 61 030311

    [37]

    Xin T, Li H, Wang B X, Long G L 2016 Phys. Rev. A 92 022126

    [38]

    Peng X, Du J, Suter D 2005 Phys. Rev. A 71 012307

    [39]

    Zhang J, Peng X, Rajendran N, Suter D 2008 Phys. Rev. Lett. 100 100501

    [40]

    Feng G R, Lu Y, Hao L, Zhang F H, Long G L 2013 Sci. Rep. 3 2232

    [41]

    Zheng C, Hao L, Long G L 2013 Phil. Trans. R. Soc. A 371 20120053

    [42]

    Souza A M, Magalhaes A, Teles J, Bonagamba T J, Oliveira I S, Sarthour R S 2008 New J. Phys. 10 033020

    [43]

    Souza A M, Oliveira I S, Sarthour R S 2011 New J. Phys. 13 053023

    [44]

    Hou S Y, Li H, Long G L 2017 Sci. Bull. 62 863

    [45]

    Li H, Gao X, Xin T, Yung M H, Long G L 2015 Sci. Bull. 62 497

    [46]

    Lu D, Li H, Trottier D A, Li J, Brodutch A, Krismanich A P 2015 Phys. Rev. Lett. 114 140505

    [47]

    Lu D, Xin T, Yu N, Ji Z, Chen J, Long G 2016 Phys. Rev. Lett. 116 230501

    [48]

    Mounce A M, Oh S, Halperin W P 2011 Front. Phys. China 6 450

    [49]

    Pan J, Yu Q, Peng X H 2017 Acta Phys. Sin. 66 150302 (in Chinese) [潘健, 余琦, 彭新华 2017 物理学报 66 150302]

    [50]

    Li J, Cui J Y, Yang X D, Luo Z H, Pan J, Yu Q, Li Z K, Peng X H, Du J F 2015 Acta Phys. Sin. 64 167601 (in Chinese) [李俊, 崔江煜, 杨晓东, 罗智煌, 潘健, 余琦, 李兆凯, 彭新华, 杜江峰 2015 物理学报 64 167601]

    [51]

    Cory D G, Price M D, Havel T F 1998 Physica D: Nonlinear Phenomena 120 82

    [52]

    Hou S Y, Sheng Y B, Feng G R, Long G L 2014 Sci. Reports 4 6857

    [53]

    Li H, Gao X, Xin T, Yung M, Long G L 2017 Sci. Bull. 62 497

    [54]

    Knill E, Chuang I, Laflamme R 1998 Phys. Rev. A 57 3348

    [55]

    Vandersypen L M, Yannoni C S, Sherwood M H 1999 Phys. Rev. Lett. 83 3085

    [56]

    Knill E, Laflamme R, Martinez R l 2000 Nature 404 368

    [57]

    Park A J, McKay E, Lu D 2016 New J. Phys. 18 043043

    [58]

    Xin T, Hao L, Hou S Y, Feng G R, Long G L 2017 arXiv:1706.08053 [quant-ph]

    [59]

    Ai Q, Yen T, Jin B, Cheng Y 2013 J. Phys. Chem. Lett. 4 2577

    [60]

    Jing J, Wu L, Yu T, You J, Wang Z, Garcia L 2014 Phys. Rev. A 89 032110

    [61]

    Soare A, Ball H, Hayes D, Sastrawan J, Jarratt M C, McLoughlin J J, Zhen X, Green T J, Biercuk M J 2014 Nature Phys. 10 825

    [62]

    Soare A, Ball H, Hayes D, Zhen X, Jarratt M C, Sastrawan J, Uys H, Biercuk M J 2014 Phys. Rev. A 89 042329

    [63]

    Zhen X L, Zhang F H, Feng G, Li H, Long G L 2016 Phys. Rev. A 93 022304

    [64]

    Zhen X L, Xin T, Zhang F H, Long G L 2016 Sci. China: Phys. Mech. Astron. 59 690312

    [65]

    Shor P W 1999 SIAM Rev. 41 303

    [66]

    Lu C Y, Browne D E, Yang T, Pan J W 2007 Phys. Rev. Lett. 99 250504

    [67]

    Lanyon B P, Weinhold T J, Langford N K, Barbieri M, James D F V, Gilchrist A, White A G 2007 Phys. Rev. Lett. 99 250505

    [68]

    Politi A, Matthews J C, Obrien J L 2009 Science 325 1221

    [69]

    Monz T, Nigg D, Martinez E A, Brandl M F, Schindler P, Rines R, et al. 2016 Science 351 1068

    [70]

    Shor P W 2012 Nat. Photon. 6 773

    [71]

    Harrow A W, Hassidim A, Lloyd S 2009 Phys. Rev. Lett. 103 150502

    [72]

    Long G L 2006 Commun. Theor. Phys. 45 825

    [73]

    Wei S, Zhou Z, Ruan D, Long G L 2017 Vehicular Technology Conference (VTC Spring), 2017 IEEE 85th. IEEE 2017 1-4

    [74]

    Kielpinski D, Monroe C, Wineland D J 2002 Nature 417 709

    [75]

    Michalski R S, Carbonell J G, Mitchell T M 2013 Springer Science and Business Media [2018-4-20]

    [76]

    Schuld M, Sinayskiy I, Petruccione F 2015 Contemp. Phys. 56 172

    [77]

    Biamonte J, Wittek P, Pancotti N, Rebentrost P, Wiebe N, Lloyd S 2017 Nature 549 195

    [78]

    Lloyd S, Mohseni M, Rebentrost P 2013 arXiv:1307.0411 [quant-ph]

    [79]

    Wiebe N, Kapoor A, Svore K M 2015 Quantum Inf. Comput. 15 0318

    [80]

    Li P C, Wang H Y, Dai Q, Xiao H 2012 Acta Phys. Sin. 61 160303 (in Chinese) [李盼池, 王海英, 戴庆, 肖红 2012 物理学报 61 160303]

    [81]

    Cai X D, Wu D, Su Z E, Chen M C, Wang X L, Li L 2015 Phys. Rev. Lett. 114 110504

    [82]

    Dunjko V, Taylor J M, Briegel H J 2016 Phys. Rev. Lett. 117 130501

    [83]

    Rebentrost P, Mohseni M, Lloyd S 2014 Phys. Rev. Lett. 113 130503

    [84]

    Li Z, Liu X, Xu N, Du J 2015 Phys. Rev. Lett. 114 140504

    [85]

    Suykens J A K, Vandewalle J 1999 Neural Process. Lett. 9 293

    [86]

    Long G L, Liu Y 2008 Commun. Theor. Phys. 50 1303

    [87]

    Long G L, Liu Y, Wang C 2009 Commun Theor. Phys. 51 65

    [88]

    Gudder S 2007 Quantum Inf. Process. 6 37

    [89]

    Long G L 2007 Quantum Inf. Process. 6 49

    [90]

    Long G L 2011 Int. J. Theor. Phys. 50 1305

    [91]

    Gudder S 2008 Int. J. Theor. Phys. 47 268

    [92]

    Wang Y Q, Du H K, Dou Y N 2008 Int. J. Theor. Phys. 47 2268

    [93]

    Du H K, Wang Y Q, Xu J L 2008 J. Math. Phys. 49 013507

    [94]

    Cao H X, Li L, Chen Z L 2010 Chin. Sci. Bull. 55 2122

    [95]

    Zhang Y, Cao H X, Li L 2010 Sci. China: Phys. Mech. Astron. 53 1878

    [96]

    Chen L, Cao H X, Meng H X 2015 Quantum Inf. Process. 14 4351

    [97]

    Cao H X, Chen Z L, Guo Z H 2012 Sci. China: Phys. Mech. Astron. 55 2452

    [98]

    Cao H X, Long G L, Guo Z H 2013 Int. J. Theor. Phys. 52 1

    [99]

    Cui J X, Zhou T, Long G L 2012 Quantum Inf. Process. 11 317

    [100]

    Long G L, Liu Y 2008 Front. Comput. Sci. 2 167

    [101]

    Long G L, Liu Y 2008 Rep. Prog. Phys. 28 410

    [102]

    Zou X F, Qiu D W, Wu L H 2009 Quantum Inf. Process. 8 37

    [103]

    Qiang X, Zhou X, Aungskunsiri K 2017 Quantum Sci. Technol. 2 045002

    [104]

    Wei S J, Ruan D, Long G L 2016 Sci. Rep. 6 30727

    [105]

    Tao X, Wei S J, Long G L 2017 Phys. Rev. A 96 062303

    [106]

    Lloyd S 1996 Science 273 1073

    [107]

    Peng X H, Suter D 2010 Front. Phys. China 5 1

    [108]

    Lu Y, Feng G R, Li Y S, Long G L 2015 Sci. Bull. 60 241

    [109]

    Pearson J, Feng G, Zheng C, Long G 2015 Sci. China: Phys. Mech. Astron. 59 120312

    [110]

    Jin F, Chen H, Rong X, Zhou H, Shi M, Zhang Q 2015 Sci. China: Phys. Mech. Astron. 59 630302

    [111]

    Zhang J, Long G L, Deng Z, Liu W, Lu Z 2004 Phys. Rev. A 70 062322

    [112]

    Peng X, Zhang J, Du J, Suter D 2009 Phys. Rev. Lett. 103 140501

    [113]

    Du J, Xu N, Peng X, Wang P, Wu S, Lu D 2010 Phys. Rev. Lett. 104 030502

    [114]

    Alvarez G A, Suter D, Kaiser R 2015 Science 349 846

    [115]

    Alvarez-Rodriguez U, Sanz M, Lamata L, Solano E 2016 Sci. Rep. 6 20956

    [116]

    Alvarez-Rodriguez U, Sanz M, Lamata L, Solano E 2014 Sci. Rep. 4 4910

    [117]

    Nayak C, Simon S H, Stern A, Freedman M, Sarma S D 2008 Rev. Mod. Phys. 80 1083

    [118]

    Kitaev A Y 2003 Ann. Phys. 303 2

    [119]

    Li J, Fan R, Wang H, Ye B, Zeng B, Zhai H, Peng X H, Du J F 2017 Phys. Rev. X 7 031011

    [120]

    Swingle B, Bentsen G, Schleier-Smith M, Hayden P 2016 Phys. Rev. A 94 040301

    [121]

    Gamow G 1928 Zeitschrift für Physik 51 204

    [122]

    Josephson B D 1962 Phys. Lett. 1 251

    [123]

    Binnig G, Rohrer H 2000 IBM J. Res. Develop. 44 279

    [124]

    Zalka C 1998 Phys. Engin. Sci. 454 313

    [125]

    Wiesner S 1996 arXiv:quant-ph/9603028v1 [quant-ph]

    [126]

    Bullock S S, Markov I L 2004 Quantum Inform. Comput. 4 27

    [127]

    Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) p207

    [128]

    Li K, Wan Y, Hung L Y, Lan T, Long G L, Lu D 2017 Phys. Rev. Lett. 118 080502

    [129]

    Luo Z, Li J, Li Z, Hung L Y, Wan Y, Peng X, Du J 2018 Nat. Phys. 14 160

    [130]

    Martinez E A, Muschi C A, Schindler P, Nigg D, Erhard A, Heyl M, Hauke P, Dalmonte M, Monz T, Zoller P, Blatt R 2016 Nature 534 516

    [131]

    Li K, Han M, Long G, Wan Y, Lu D, Zeng B, Laflamme R 2017 arXiv:1705.00365 [quant-ph]

    [132]

    Li K, Li Y, Han M, Lu S, Zhou J, Ruan D, Long G, Wan Y, Lu D, Zeng B, Laflamme R 2017 arXiv:1712.08711 [quant-ph]

    [133]

    Maldacena J, Shenker S H, Stanford D 2016 J. High Energy Phys. 2016 106

    [134]

    Hosur P, Qi X L, Roberts D A, Yoshida B 2016 J. High Energy Phys. 2016 4

    [135]

    Sachdev S, Ye J 1993 Phys. Rev. Lett. 70 3339

    [136]

    Ryu S, Takayanagi T 2006 Phys. Rev. Lett. 96 181602

    [137]

    Xin T, Huang S, Lu S, Li K, Luo Z, Yin Z, Li J, Lu D W, Long G L, Zeng B 2018 Sci. Bull. 63 17

    [138]

    Pravia M A, Fortunato E, Weinstein Y 1999 Concept. Magn. Reson. 11 225

  • [1]

    Benioff P 1980 J. Statist. Phys. 22 563

    [2]

    Feynman R P 1982 Int. J. Theor. Phys. 21 467

    [3]

    Manin Y I 1980 Sov. Radio. 2 1315

    [4]

    DiVincenzo D P 2000 Fortschritte der Physik 48 771

    [5]

    Chuang I L, Gershenfeld N, Kubinec M G, Leung D W 1998 Proc. R. Soc. Lond. A 454 447

    [6]

    Knill E, Laflamme R 1998 Phys. Rev. Lett. 81 5672

    [7]

    Cory D G, Fahmy A F, Havel T F 1997 Proc. R. Soc. A 94 1634

    [8]

    Vandersypen L M, Chuang I L 2005 Rev. Mod. Phys. 76 1037

    [9]

    Khaneja N, Reiss T, Kehlet C, Schulte-Herbruggen T, Glaser S J 2005 J. Magn. Reson. 172 296

    [10]

    Li J, Yang X, Peng X, Sun C P 2017 Phys. Rev. Lett. 118 150503

    [11]

    Lu D, Li K, Li J, Katiyar H, Park A J, Feng G R, Xin T, Li H, Long G L, Brodutch A, Baugh J, Zeng B, Laflamme R 2017 npj Quantum Inform. 3 45

    [12]

    Rebentrost P, Schuld M, Petruccione F, Lloyd S 2016 arXiv:1612.01789v2 [quant-ph]

    [13]

    Ryan C A, Negrevergne C, Laforest M, Knill E, Laflamme R 2008 Phys. Rev. A 78 012328

    [14]

    Knill E, Laflamme R, Martinez R, Tseng C H 2000 Nature 404 368

    [15]

    Fung B M, Khitrin A K, Ermolaev K 2000 J. Magn. Reson. 142 97

    [16]

    Waugh J S, Huber L M, Haeberlen U 1968 Phys. Rev. Lett. 20 180

    [17]

    Shaka A J, Keeler J, Frenkiel T, Freeman R A Y 1983 J. Magn. Reson. 52 335

    [18]

    Viola L, Knill E, Lloyd S 1999 Phys. Rev. Lett. 82 2417

    [19]

    Souza A M, Alvarez G A, Suter D 2011 Phys. Rev. Lett. 106 240501

    [20]

    Zhen X L, Zhang F H, Feng G, Li H, Long G L 2016 Phys. Rev. A 93 022304

    [21]

    Zhang J, Souza A M, Brandao F D, Suter D 2014 Phys. Rev. Lett. 112 050502

    [22]

    West J R, Lidar D A, Fong B H, Gyure M F 2010 Phys. Rev. Lett. 105 230503

    [23]

    Aharonov D, van Dam W, Kempe J, Landau Z, Lloyd S, Regev O 2008 SIAM Rev. 50 755

    [24]

    Childs A M, Farhi E, Preskill J 2001 Phys. Rev. A 65 012322

    [25]

    Gaitan F, Clark L 2012 Phys. Rev. Lett. 108 010501

    [26]

    Jonathan A, Jones J A, Mosca M, Hansen R H 1998 Nature 393 344

    [27]

    Long G L 2001 Phys. Rev. A 64 022307

    [28]

    Liu Y, Zhang F 2015 Sci. China: Phys. Mech. Astron. 58 1

    [29]

    Vandersypen L M, Steffen M, Breyta G, Yannoni C S, Sherwood M H, Chuang I L 2001 Nature 414 883

    [30]

    Chuang I L, Vandersypen L M K, Zhou X, Leung D W, Lloyd S 1998 Nature 393 143

    [31]

    Vandersypen L M, Steffen M, Breyta G, Yannoni C S, Cleve R, Chuang I L 2000 Phys. Rev. Lett. 85 5452

    [32]

    Peng X, Zhu X, Fang X, Feng M, Liu M, Gao K 2002 Phys. Rev. A 65 042315

    [33]

    Pan J, Cao Y, Yao X, Li Z, Ju C, Chen H 2014 Phys. Rev. A 89 022313

    [34]

    Feng G, Xu G, Long G 2013 Phys. Rev. Lett. 110 190501

    [35]

    Li H, Liu Y, Long G 2017 Sci. China: Phys. Mech. Astron. 60 080311

    [36]

    Long G L, Qin W, Yang Z, Li J L 2018 Sci. China: Phys. Mech. Astron. 61 030311

    [37]

    Xin T, Li H, Wang B X, Long G L 2016 Phys. Rev. A 92 022126

    [38]

    Peng X, Du J, Suter D 2005 Phys. Rev. A 71 012307

    [39]

    Zhang J, Peng X, Rajendran N, Suter D 2008 Phys. Rev. Lett. 100 100501

    [40]

    Feng G R, Lu Y, Hao L, Zhang F H, Long G L 2013 Sci. Rep. 3 2232

    [41]

    Zheng C, Hao L, Long G L 2013 Phil. Trans. R. Soc. A 371 20120053

    [42]

    Souza A M, Magalhaes A, Teles J, Bonagamba T J, Oliveira I S, Sarthour R S 2008 New J. Phys. 10 033020

    [43]

    Souza A M, Oliveira I S, Sarthour R S 2011 New J. Phys. 13 053023

    [44]

    Hou S Y, Li H, Long G L 2017 Sci. Bull. 62 863

    [45]

    Li H, Gao X, Xin T, Yung M H, Long G L 2015 Sci. Bull. 62 497

    [46]

    Lu D, Li H, Trottier D A, Li J, Brodutch A, Krismanich A P 2015 Phys. Rev. Lett. 114 140505

    [47]

    Lu D, Xin T, Yu N, Ji Z, Chen J, Long G 2016 Phys. Rev. Lett. 116 230501

    [48]

    Mounce A M, Oh S, Halperin W P 2011 Front. Phys. China 6 450

    [49]

    Pan J, Yu Q, Peng X H 2017 Acta Phys. Sin. 66 150302 (in Chinese) [潘健, 余琦, 彭新华 2017 物理学报 66 150302]

    [50]

    Li J, Cui J Y, Yang X D, Luo Z H, Pan J, Yu Q, Li Z K, Peng X H, Du J F 2015 Acta Phys. Sin. 64 167601 (in Chinese) [李俊, 崔江煜, 杨晓东, 罗智煌, 潘健, 余琦, 李兆凯, 彭新华, 杜江峰 2015 物理学报 64 167601]

    [51]

    Cory D G, Price M D, Havel T F 1998 Physica D: Nonlinear Phenomena 120 82

    [52]

    Hou S Y, Sheng Y B, Feng G R, Long G L 2014 Sci. Reports 4 6857

    [53]

    Li H, Gao X, Xin T, Yung M, Long G L 2017 Sci. Bull. 62 497

    [54]

    Knill E, Chuang I, Laflamme R 1998 Phys. Rev. A 57 3348

    [55]

    Vandersypen L M, Yannoni C S, Sherwood M H 1999 Phys. Rev. Lett. 83 3085

    [56]

    Knill E, Laflamme R, Martinez R l 2000 Nature 404 368

    [57]

    Park A J, McKay E, Lu D 2016 New J. Phys. 18 043043

    [58]

    Xin T, Hao L, Hou S Y, Feng G R, Long G L 2017 arXiv:1706.08053 [quant-ph]

    [59]

    Ai Q, Yen T, Jin B, Cheng Y 2013 J. Phys. Chem. Lett. 4 2577

    [60]

    Jing J, Wu L, Yu T, You J, Wang Z, Garcia L 2014 Phys. Rev. A 89 032110

    [61]

    Soare A, Ball H, Hayes D, Sastrawan J, Jarratt M C, McLoughlin J J, Zhen X, Green T J, Biercuk M J 2014 Nature Phys. 10 825

    [62]

    Soare A, Ball H, Hayes D, Zhen X, Jarratt M C, Sastrawan J, Uys H, Biercuk M J 2014 Phys. Rev. A 89 042329

    [63]

    Zhen X L, Zhang F H, Feng G, Li H, Long G L 2016 Phys. Rev. A 93 022304

    [64]

    Zhen X L, Xin T, Zhang F H, Long G L 2016 Sci. China: Phys. Mech. Astron. 59 690312

    [65]

    Shor P W 1999 SIAM Rev. 41 303

    [66]

    Lu C Y, Browne D E, Yang T, Pan J W 2007 Phys. Rev. Lett. 99 250504

    [67]

    Lanyon B P, Weinhold T J, Langford N K, Barbieri M, James D F V, Gilchrist A, White A G 2007 Phys. Rev. Lett. 99 250505

    [68]

    Politi A, Matthews J C, Obrien J L 2009 Science 325 1221

    [69]

    Monz T, Nigg D, Martinez E A, Brandl M F, Schindler P, Rines R, et al. 2016 Science 351 1068

    [70]

    Shor P W 2012 Nat. Photon. 6 773

    [71]

    Harrow A W, Hassidim A, Lloyd S 2009 Phys. Rev. Lett. 103 150502

    [72]

    Long G L 2006 Commun. Theor. Phys. 45 825

    [73]

    Wei S, Zhou Z, Ruan D, Long G L 2017 Vehicular Technology Conference (VTC Spring), 2017 IEEE 85th. IEEE 2017 1-4

    [74]

    Kielpinski D, Monroe C, Wineland D J 2002 Nature 417 709

    [75]

    Michalski R S, Carbonell J G, Mitchell T M 2013 Springer Science and Business Media [2018-4-20]

    [76]

    Schuld M, Sinayskiy I, Petruccione F 2015 Contemp. Phys. 56 172

    [77]

    Biamonte J, Wittek P, Pancotti N, Rebentrost P, Wiebe N, Lloyd S 2017 Nature 549 195

    [78]

    Lloyd S, Mohseni M, Rebentrost P 2013 arXiv:1307.0411 [quant-ph]

    [79]

    Wiebe N, Kapoor A, Svore K M 2015 Quantum Inf. Comput. 15 0318

    [80]

    Li P C, Wang H Y, Dai Q, Xiao H 2012 Acta Phys. Sin. 61 160303 (in Chinese) [李盼池, 王海英, 戴庆, 肖红 2012 物理学报 61 160303]

    [81]

    Cai X D, Wu D, Su Z E, Chen M C, Wang X L, Li L 2015 Phys. Rev. Lett. 114 110504

    [82]

    Dunjko V, Taylor J M, Briegel H J 2016 Phys. Rev. Lett. 117 130501

    [83]

    Rebentrost P, Mohseni M, Lloyd S 2014 Phys. Rev. Lett. 113 130503

    [84]

    Li Z, Liu X, Xu N, Du J 2015 Phys. Rev. Lett. 114 140504

    [85]

    Suykens J A K, Vandewalle J 1999 Neural Process. Lett. 9 293

    [86]

    Long G L, Liu Y 2008 Commun. Theor. Phys. 50 1303

    [87]

    Long G L, Liu Y, Wang C 2009 Commun Theor. Phys. 51 65

    [88]

    Gudder S 2007 Quantum Inf. Process. 6 37

    [89]

    Long G L 2007 Quantum Inf. Process. 6 49

    [90]

    Long G L 2011 Int. J. Theor. Phys. 50 1305

    [91]

    Gudder S 2008 Int. J. Theor. Phys. 47 268

    [92]

    Wang Y Q, Du H K, Dou Y N 2008 Int. J. Theor. Phys. 47 2268

    [93]

    Du H K, Wang Y Q, Xu J L 2008 J. Math. Phys. 49 013507

    [94]

    Cao H X, Li L, Chen Z L 2010 Chin. Sci. Bull. 55 2122

    [95]

    Zhang Y, Cao H X, Li L 2010 Sci. China: Phys. Mech. Astron. 53 1878

    [96]

    Chen L, Cao H X, Meng H X 2015 Quantum Inf. Process. 14 4351

    [97]

    Cao H X, Chen Z L, Guo Z H 2012 Sci. China: Phys. Mech. Astron. 55 2452

    [98]

    Cao H X, Long G L, Guo Z H 2013 Int. J. Theor. Phys. 52 1

    [99]

    Cui J X, Zhou T, Long G L 2012 Quantum Inf. Process. 11 317

    [100]

    Long G L, Liu Y 2008 Front. Comput. Sci. 2 167

    [101]

    Long G L, Liu Y 2008 Rep. Prog. Phys. 28 410

    [102]

    Zou X F, Qiu D W, Wu L H 2009 Quantum Inf. Process. 8 37

    [103]

    Qiang X, Zhou X, Aungskunsiri K 2017 Quantum Sci. Technol. 2 045002

    [104]

    Wei S J, Ruan D, Long G L 2016 Sci. Rep. 6 30727

    [105]

    Tao X, Wei S J, Long G L 2017 Phys. Rev. A 96 062303

    [106]

    Lloyd S 1996 Science 273 1073

    [107]

    Peng X H, Suter D 2010 Front. Phys. China 5 1

    [108]

    Lu Y, Feng G R, Li Y S, Long G L 2015 Sci. Bull. 60 241

    [109]

    Pearson J, Feng G, Zheng C, Long G 2015 Sci. China: Phys. Mech. Astron. 59 120312

    [110]

    Jin F, Chen H, Rong X, Zhou H, Shi M, Zhang Q 2015 Sci. China: Phys. Mech. Astron. 59 630302

    [111]

    Zhang J, Long G L, Deng Z, Liu W, Lu Z 2004 Phys. Rev. A 70 062322

    [112]

    Peng X, Zhang J, Du J, Suter D 2009 Phys. Rev. Lett. 103 140501

    [113]

    Du J, Xu N, Peng X, Wang P, Wu S, Lu D 2010 Phys. Rev. Lett. 104 030502

    [114]

    Alvarez G A, Suter D, Kaiser R 2015 Science 349 846

    [115]

    Alvarez-Rodriguez U, Sanz M, Lamata L, Solano E 2016 Sci. Rep. 6 20956

    [116]

    Alvarez-Rodriguez U, Sanz M, Lamata L, Solano E 2014 Sci. Rep. 4 4910

    [117]

    Nayak C, Simon S H, Stern A, Freedman M, Sarma S D 2008 Rev. Mod. Phys. 80 1083

    [118]

    Kitaev A Y 2003 Ann. Phys. 303 2

    [119]

    Li J, Fan R, Wang H, Ye B, Zeng B, Zhai H, Peng X H, Du J F 2017 Phys. Rev. X 7 031011

    [120]

    Swingle B, Bentsen G, Schleier-Smith M, Hayden P 2016 Phys. Rev. A 94 040301

    [121]

    Gamow G 1928 Zeitschrift für Physik 51 204

    [122]

    Josephson B D 1962 Phys. Lett. 1 251

    [123]

    Binnig G, Rohrer H 2000 IBM J. Res. Develop. 44 279

    [124]

    Zalka C 1998 Phys. Engin. Sci. 454 313

    [125]

    Wiesner S 1996 arXiv:quant-ph/9603028v1 [quant-ph]

    [126]

    Bullock S S, Markov I L 2004 Quantum Inform. Comput. 4 27

    [127]

    Nielsen M A, Chuang I L 2010 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press) p207

    [128]

    Li K, Wan Y, Hung L Y, Lan T, Long G L, Lu D 2017 Phys. Rev. Lett. 118 080502

    [129]

    Luo Z, Li J, Li Z, Hung L Y, Wan Y, Peng X, Du J 2018 Nat. Phys. 14 160

    [130]

    Martinez E A, Muschi C A, Schindler P, Nigg D, Erhard A, Heyl M, Hauke P, Dalmonte M, Monz T, Zoller P, Blatt R 2016 Nature 534 516

    [131]

    Li K, Han M, Long G, Wan Y, Lu D, Zeng B, Laflamme R 2017 arXiv:1705.00365 [quant-ph]

    [132]

    Li K, Li Y, Han M, Lu S, Zhou J, Ruan D, Long G, Wan Y, Lu D, Zeng B, Laflamme R 2017 arXiv:1712.08711 [quant-ph]

    [133]

    Maldacena J, Shenker S H, Stanford D 2016 J. High Energy Phys. 2016 106

    [134]

    Hosur P, Qi X L, Roberts D A, Yoshida B 2016 J. High Energy Phys. 2016 4

    [135]

    Sachdev S, Ye J 1993 Phys. Rev. Lett. 70 3339

    [136]

    Ryu S, Takayanagi T 2006 Phys. Rev. Lett. 96 181602

    [137]

    Xin T, Huang S, Lu S, Li K, Luo Z, Yin Z, Li J, Lu D W, Long G L, Zeng B 2018 Sci. Bull. 63 17

    [138]

    Pravia M A, Fortunato E, Weinstein Y 1999 Concept. Magn. Reson. 11 225

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出版历程
  • 收稿日期:  2018-04-20
  • 修回日期:  2018-05-24
  • 刊出日期:  2019-11-20

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