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Experimental implementation of a continuous-time quantum random walk on a solid-state quantum information processor |
Maimaitiyiming Tusun(麦麦提依明·吐孙)1,2,3,4, Yang Wu(伍旸)1,2,3, Wenquan Liu(刘文权)1,2,3, Xing Rong(荣星)1,2,3, Jiangfeng Du(杜江峰)1,2,3 |
1 Hefei National Laboratory for Physical Sciences at the Microscale, and Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China; 2 CAS Key Laboratory of Microscale Magnetic Resonance, University of Science and Technology of China, Hefei 230026, China; 3 Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China; 4 School of Physics and Electronic Engineering, Xinjiang Normal University, Urumqi 830054, China |
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Abstract There are some problems that quantum computers seem to be exponentially faster than classical computers, like factoring large numbers, machine learning, and simulation of quantum systems. Constructing an appropriate quantum algorithm becomes more important for solving these specific problems. In principle, any quantum algorithm can recast by a quantum random walk algorithm. Although quantum random walk with a few qubits has been implemented in a variety of systems, the experimental demonstration of solid-state quantum random walk remains elusive. Here we report the experimental implementation of the quantum continuous-time random walk algorithm by a two-qubit quantum processor in a nitrogen-vacancy center in diamond. We found that quantum random walk on a circle does not converge to any stationary distribution and exhibit a reversible property. Our results represent a further investigation of quantum walking dynamics in solid spin platforms, may also lead to other practical applications by the use of quantum continuous-time random walk for quantum algorithm design and quantum coherence transport.
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Received: 08 July 2019
Revised: 27 August 2019
Accepted manuscript online:
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PACS:
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03.67.Lx
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(Quantum computation architectures and implementations)
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07.05.Kf
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(Data analysis: algorithms and implementation; data management)
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61.72.Ji
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Fund: Project supported by the National Key Research and Development Program of China (Grant Nos. 2018YFA0306600 and 2016YFB0501603), the National Natural Science Foundation of China (Grant No. 11761131011), the Fund from the Chinese Academy of Sciences (Grant Nos. GJJSTD20170001, QYZDY-SSW-SLH004, and QYZDB-SSW-SLH005), the Anhui Initiative Fund in Quantum Information Technologies, China (Grant No. AHY050000), and the Youth Innovation Promotion Association of the Chinese Academy of Sciences. |
Corresponding Authors:
Xing Rong, Jiangfeng Du
E-mail: xrong@ustc.edu.cn;djf@ustc.edu.cn
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Cite this article:
Maimaitiyiming Tusun(麦麦提依明·吐孙), Yang Wu(伍旸), Wenquan Liu(刘文权), Xing Rong(荣星), Jiangfeng Du(杜江峰) Experimental implementation of a continuous-time quantum random walk on a solid-state quantum information processor 2019 Chin. Phys. B 28 110302
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[1] |
Feynman R P 1982 Int. J. Theor. Phys. 21 467
|
[2] |
Deutsch D 1985 P. Roy. Soc. Lond. Mat. 400 97
|
[3] |
Shor P W 1994 Proceedings 35 th Annual Symposium on Foundations of Computer Science, November 20-22, 1994, Santa Fe, NM, USA, pp. 124-134
|
[4] |
Tang H, Franco C D, Shi Z Y, He T S, Feng Z, Gao J, Sun K, Li Z M, Jiao Z Q, Wang T Y, Kim M S and Jin X M 2018 Nat. Photon. 12 754
|
[5] |
Harris N C, Steinbrecher G R, Prabhu M, Lahini Y, Mower J, Bunandar D, Chen C, Wong F N C, Baehr-Jones T, Hochberg M, Lloyd S and Englund D 2017 Nat. Photon. 11 447
|
[6] |
Aharonov Y, Davidovich L and Zagury N 1993 Phys. Rev. A 48 1687
|
[7] |
Childs A M, Farhi E and Gutmann S 2002 Quantum Inf. Process. 1 35
|
[8] |
Yan Z, Zhang Y R, Gong M, Wu Y, Zheng Y, Li S, Wang C, Liang F, Lin J, Xu Y, Guo C, Sun L, Peng C Z, Xia K, Deng H, Rong H, You J Q, Nori F, Fan H, Zhu X and Pan J W 2019 Science 364 753
|
[9] |
Mulken O and Blumen A 2006 Phys. Rev. E 73 066117
|
[10] |
Shenvi N, Kempe J and Whaley K B 2003 Phys. Rev. A 67 052307
|
[11] |
Childs A M 2009 Phys. Rev. Lett. 102 180501
|
[12] |
Du J F, Li H, Xu X D, Shi M J, Wu J H, Zhou X Y and Han R D 2003 Phys. Rev. A 67 042316
|
[13] |
Ryan C A, Laforest M, Boileau J C and Laflamme R 2005 Phys. Rev. A 72 062317
|
[14] |
Do B, Stohler M L, Balasubramanian S, Elliott D S, Eash C, Fischbach E, Fischbach M A, Mills A and Zwickl B 2005 JOSA B 22 499
|
[15] |
Schreiber A, Cassemiro K N, Potocek V, Gabris A, Mosley P J, Andersson E, Jex I and Silberhorn C 2010 Phys. Rev. Lett. 104 050502
|
[16] |
Schmitz H, Matjeschk R, Schneider C, Glueckert J, Enderlein M, Huber T and Schaetz T 2009 Phys. Rev. Lett. 103090504
|
[17] |
Zahringer F, Kirchmair G, Gerritsma R, Solano E, Blatt R and Roos C F 2010 Phys. Rev. Lett. 104100503
|
[18] |
Karski M, Förster L, Choi J M, Steffen A, Alt W, Meschede D and Widera A 2009 Science 325174
|
[19] |
Carolan J, Meinecke J D A, Shadbolt P J, Russell N J, Ismail N, Worhoff K, Rudolph T, Thompson M G, O Brien J L, Matthew J C F and Laing A 2014 Nat. Photon. 8 621
|
[20] |
Perets H B, Lahini Y, Pozzi F, Sorel M, Morandotti R and Silberberg Y 2008 Phys. Rev. Lett. 100 170506
|
[21] |
Qiang X G, Loke T, Montanaro A, Aungskunsiri K, Zhou X Q, O'Brien J L, Wang J B B and Matthews J C F 2016 Nat. Commun. 7 11511
|
[22] |
Tang H, Lin X F, Feng Z, Chen J Y, Gao J, Sun K, Wang C Y, Lai P C, Xu X Y and Wang Y 2018 Sci. Adv. 4 eaat3174
|
[23] |
Farhi E and Gutmann S 1998 Phys. Rev. A 58 915
|
[24] |
Jacques V, Neumann P, Beck J, Markham M, Twitchen D, Meijer J, Kaiser F, Balasubramanian G, Jelezko F and Wrachtrup J 2009 Phys. Rev. Lett. 102 057403
|
[25] |
Wu Y, Wang Y, Qin X, Rong X and Du J F 2019 npj Quantum Information 5 9
|
[26] |
Childs A M, Gosset D and Webb Z 2013 Science 339 791
|
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