Quantum computation and quantum simulation

Fan Heng

doi:10.7498/aps.67.20180710

Abstract

In past few years, quantum computation and quantum simulation have been developed rapidly. The research on quantum computation and quantum simulation involving medium scale number of qubits will have a development priority. In this paper, we review recent developments in those directions. The review will include quantum simulation of many-body system, quantum computation, digital quantum simulators and cloud quantum computation platforms, and quantum software. The quantum simulation of many-body system will include the simulation of quantum dynamics, time crystal and many-body localization, quantum statistical physics and quantum chemistry. The review of those results is based on our consideration to the current characteristics of quantum computation and quantum simulation. Specifically, the number of available qubits is on a medium scale from dozens to several hundreds, the fidelity of the quantum logic gate is not high enough for several thousand of operations. In this sense, the present research is at the stage from fundamental explorations to practical applications. With these in mind, we hope that this review can be helpful for the future study in quantum computation and quantum simulation.

Keywords:

Authors and contacts

Fan Heng^1,2

1.
Solid State Quantum Information and Computation Laboratory, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2.
Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China

Corresponding author: Fan Heng, hfan@iphy.ac.cn

Funds: Project supported by the National Key RD Program of China (Grant Nos. 2016YFA0302104, 2016YFA0300600), the National Natural Science Foundation of China (Grant Nos. 91536108, 11774406), and the Key Research Program of the Chinese Academy of Sciences (Grant No. XDPB08-3).

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Cited By

[1]	Feynman R P 1982 Int. J. Theor. Phys. 21 467
[2]	Bernie H, Schwartz S, Keesling A, Levine H, Omran A, Pichler H, Choi S, Zibrov A S, Endres M, Greiner M, Vuletić V, Lukin M D 2017 Nature 551 579
[3]	Zhang J, Pagano G, Hess P W, Kyprianidi A, Becker P, Kaplan H, Gorshkov A V, Gong Z X, Monroe C 2017 Nature 551 601
[4]	Heyl M, Polkovnikov A, Kehrein S 2013 Phys. Rev. Lett. 110 135704
[5]	Wilczek F 2013 Phys. Rev. Lett. 111 250402
[6]	Yao N Y, Potter A C, Potimiche I D, Vishwanath A 2017 Phys. Rev. Lett. 118 030401
[7]	Zhang J, Hess P W, Kyprianidis A, Becker P, Lee A, Smith J, Pagano G, Potirniche I D, Potter A C, Vishwanath A, Yao N Y, Monroe C 2017 Nature 543 217
[8]	Choi S, Choi J, Landig R, Kucsko G, Zhou H, Isoya J, Jelezko F, Onoda S, Sumiya H, Khemani V, Keyserlingk C, Yao N Y, Demler E, Lukin M D 2017 Nature 543 221
[9]	Schreiber M, Hodgman S S, Bordia P, Lschen H P, Fischer M H, Vosk R, Altman E, Schneider U, Bloch I 2015 Science 349 842
[10]	Alvarez G A, Suter D, Kaiser R M 2015 Science 349 846
[11]	Choi J Y, Hild S, Zeiher J, Schau P, Rubio-Abadal A, Yefsah T, Khemani V, Huse D A, Bloch I, Gross C 2016 Science 352 1547
[12]	Smith J, Richerme P, Neyenhuis B, Hess P W, Hauke P, Heyl M, Huse M A, Monroe C 2016 Nat. Phys. 12 907
[13]	Xu K, Chen J J, Zeng Y, Zhang Y R, Song C, Liu W, Guo Q, Zhang P, Xu D, Deng H, Huang K, Wang H, Zhu X, Zheng D, Fan H 2018 Phys. Rev. Lett. 120 050507
[14]	Roushan P, Neill C, Tangpanitanon J, Bastidas V M, Megrant A, Barends R, Chen Y, Chen Z, Chiaro B, Dunsworth A, Fowler A, Foxen B, Giustina M, Jeffrey E, Kelly J, Lucero E, Mutus J, Neeley M, Quintana C, Sank D, Vainsencher A, Wenner J, White T, Neven H, Angelakis D G, Martinis J 2017 Science 358 1175
[15]	An S, Zhang J N, Um M, L D, Lu Y, Zhan J, Yin Z Q, Quan H T, Kim K 2015 Nat. Phys. 11 193
[16]	Liu B H, Li L, Huang Y F, Li C F, Guo G C, Laine E M, Breuer H P, Piilo J 2011 Nat. Phys. 7 931
[17]	Guo X Y, Peng Y, Peng C N, Deng H, Jin Y R, Tang C, Zhu X B, Zheng D, Fan H 2017 arXiv:171010234[quant-ph]
[18]	Peng X H, Zhou H, Wei B B, Cui J, Du J, Liu R B 2015 Phys. Rev. Lett. 114 010601
[19]	Lu C Y, Gao W B, Ghne O, Zhou X Q, Chen Z B, Pan J W 2009 Phys. Rev. Lett. 102 030502
[20]	Zhong Y P, Xu D, Wang P, Song C, Guo Q J, Liu W X, Xu K, Xia B X, Lu C Y, Han S, Pan J W, Wang H 2016 Phys. Rev. Lett. 117 110501
[21]	Martinez E A, Muschik C A, Schindler P, Nigg D, Erhard A, Heyl M, Hauke P, Dalmonte M, Monz T, Zoller P, Blatt R 2016 Nature 534 516
[22]	Aspuru-Guzik A, Dutoi A D, Love P J, Head-Gordon M 2005 Science 309 1704
[23]	Lanyon B P, Whitfield J D, Gillett G G, Goggin M E, Almeida M P, Kassal I, Biamonte J D, Mohseni M, Powell B J, Barbieri M, Aspuru-Guzik A, White A G 2010 Nat. Chem. 2 106
[24]	McClean J R, Kivlichan I D, Sung K J, Steiger D S, Cao Y, Dai C, Fried E S, Gidney C, Gimby B, Hner T, Hardikar T, Havlček V, Huang C, Jiang Z, Neeley M, O'Brien T, Ozfidan I, Radin M D, Romero J, Rubin N, Sawaya N P D, Setia K, Sim S, Steudtner M, Sun W, Zhang F, Babbush R 2017 arXiv:171007629[quant-ph]
[25]	Georgescu I M, Ashhab S, Nori F 2014 Rev. Mod. Phys. 86 153
[26]	Shor P 1997 SIAM J. Comput. 26 1484
[27]	Harrow A W, Hassidim A, Lloyd S 2009 Phys. Rev. Lett. 103 150502
[28]	Grover L K 1997 Phys. Rev. Lett. 79 325
[29]	Cai X D, Weedbrook C, Su Z E, Chen M C, Gu M, Zhu M J, Li L, Liu N L, Lu C Y, Pan J W 2013 Phys. Rev. Lett. 110 230501
[30]	Pan J, Cao Y, Yao X, Li Z, Ju C, Chen H, Peng X, Kais S, Du J 2014 Phys. Rev. A 89 022313
[31]	Zheng Y R, Song C, Chen M C, Xia B, Liu W, Guo Q J, Zhang L, Xu D, Deng H, Huang K, Wu Y, Yan Z, Zheng D, Lu L, Pan J W, Wang H, Lu C Y, Zhu X 2017 Phys. Rev. Lett. 118 210504
[32]	Vandersypen L M K, Steffen M, Breyta G, Yannoni C S, Mark H, Sherwood M H, Chuang I L 2001 Nature 414 883
[33]	Lu C Y, Browne D E, Yang T, Pan J W 2007 Phys. Rev. Lett. 99 250504
[34]	Monz T, Nigg D, Martinez E A, Brandl M F, Schindler P, Rines R, Wang S X, Chuang I L, Blatt R 2016 Science 351 1068
[35]	Xu N Y, Zhu J, Lu D, Zhou X, Peng X, Du J 2012 Phys. Rev. Lett. 108 130501
[36]	Xu K B, Xie T, Li Z, Xu X, Wang M, Ye X, Kong F, Geng G, Duan C, Shi F, Du J 2017 Phys. Rev. Lett. 118 130504
[37]	Jones J L, Mosca M, Hansen R H 1998 Nature 393 344
[38]	Figgat C, Maslov D, Landsman K A, Linke N M, Debnath S, Monroe C 2017 Nat. Commun. 8 1918
[39]	Johnson M W, Amin M H, Gildert S, Lanting T, Hamze F, Dickson N, Harris R, Berkley A J, Johansson J, Bunyk P, Chapple E M, Enderud C, Hilton J P, Karimi K, Ladizinsky E, Ladizinsky N, Oh T, Perminov I, Rich C, Thom M C, Tolkacheva E, Truncik C J, Uchaikin S, Wang J, Wilson B, Rose G 2011 Nature 473 194
[40]	Boixo S, Rnnow T, Isakov S V, Wang Z, Wecker D, Lidar D A, Martinis J M, Troyer M 2014 Nat. Phys. 10 218
[41]	Mott A, Job J, Vlimant J R, Lidar D, Spiropulu M 2017 Nature 550 375
[42]	Ronnow T F, Wang Z, Job J, Boixo S, Isakov S V, Wecker D, Martinis J M, Lidar D A, Troyer M 2014 Science 345 420
[43]	Heim B, Ronnow T F, Isakov S V, Troyer M 2015 Science 348 215
[44]	Broome M A, Fedrizzi A, Rahimi-Keshari S, Dove J, Aaronson S, Ralph T C, White A G 2013 Science 339 794
[45]	Spring J B, Metcalf B J, Humphreys P C, Kolthammer W S, Jin X M, Barbieri M, Datta A, Thomas-Peter N, Langford N K, Kundys D, Gates J C, Smith B J, Smith P G R, Walmsley I A 2013 Science 339 798
[46]	Tillmann M, Dakić B, Heilmann R, Nolte S, Szameit A, Walther P 2013 Nat. Photon. 7 540
[47]	Wang H, He Y, Li Y H, Su Z E, Li B, Huang H L, Ding X, Chen M C, Liu C, Qin J, Li J P, He Y M, Schneider C, Kamp M, Peng C Z, Hfling S, Lu C Y, Pan J W 2017 Nat. Photon. 11 361
[48]	OriginQC, www.qubitonline.cn
[49]	Shao H, Qin Y Q, Capponi S, Chesi S, Meng Z Y, Sandvik A W 2017 Phys. Rev. X 7 041072
[50]	Liao H J, Xie Z Y, Chen J, Liu Z Y, Xie H D, Huang R Z, Normand B, Xiang T 2017 Phys. Rev. Lett. 118 137202
[51]	Chong F T, Franklin D, Martonosi M 2017 Nature 549 180
[52]	Biamonte J, Wittek P, Pancotti N, Rebentrost P, Wiebe N, Lloyd S 2017 Nature 549 195
[53]	Lloyd S 2000 Phys. Rev. A 62 022108

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Vol. 67, Issue 12 - 2018-06-20

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