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

doi:10.7498/aps.67.20180754

Abstract

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.

Keywords:

nuclear magnetic resonance /
quantum computing /
quantum simulation /
nuclear magnetic resonance quantum cloud computing

Authors and contacts

1.
State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, China;
2.
Collaborative Innovation Center of Quantum Matter, Beijing 100084, China

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).

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Cited By

[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
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[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
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