Quantum computation and simulation with superconducting qubits

doi:10.1088/1674-1056/ac16cf

Abstract Superconducting circuits based on Josephson junctions are regarded as one of the most promising technologies for the implementation of scalable quantum computers. This review presents the basic principles of superconducting qubits and shows the progress of quantum computing and quantum simulation based on superconducting qubits in recent years. The experimental realization of gate operations, readout, error correction codes, as well as some quantum algorithms are summarized, followed by an introduction of quantum simulation. And then some important applications in fields including condensed matter physics, quantum annealing, and quantum chemistry are discussed.

Keywords: quantum computation quantum simulation superconducting qubit

Received: 20 April 2021
Revised: 13 July 2021
Accepted manuscript online: 22 July 2021

PACS:	03.67.Lx	(Quantum computation architectures and implementations)
	03.67.Ac	(Quantum algorithms, protocols, and simulations)
	85.25.-j	(Superconducting devices)
	85.25.Cp	(Josephson devices)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11653001, 11653004, and 60836001).

Corresponding Authors: Wei Chen
E-mail: weichen@mail.tsinghua.edu.cn

Cite this article:

Kaiyong He(何楷泳), Xiao Geng(耿霄), Rutian Huang(黄汝田), Jianshe Liu(刘建设), and Wei Chen(陈炜) Quantum computation and simulation with superconducting qubits 2021 Chin. Phys. B 30 080304

[1] Preskill J 2018 Quantum 2 79
[2] Arute F, Arya K, Babbush R, et al. 2019 Nature 574 505
[3] Martinis J M 2009 Quantum Inf. Process 8 81
[4] Devoret M H and Martinis J M 2004 Implementing Qubits with Superconducting Integrated Circuits (Boston: Springer) pp. 163-203
[5] Devoret M H 1995 Quantum fluctuations in electrical circuits (Amsterdam: Elsevier) p. 351
[6] Vool U and Devoret M H 2017 Int. J. Circ. Theor. App. 45 897
[7] Bouchiat V, Vion D, Joyez P, Esteve D and Devoret M H 1998 Physica Scripta 76 165
[8] Nakamura Y, Pashkin Y A and Tsai J S 1999 Nature 398 786
[9] Cottet A, Vion D, Aassime A, Joyez P, Esteve D and Devoret M H 2002 Physica C 367 197
[10] Vion D, Aassime A, Cottet A, Joyez P, Pothier H, Urbina C, Esteve D and Devoret M H 2002 Science 296 886
[11] Koch J, Yu T M, Gambetta J, Houck A A, Schuster D I, Majer J, Blais A, Devoret M H, Girvin S M and Schoelkopf R J 2007 Phys. Rev. A 76 042319
[12] Barends R, Kelly J, Megrant A, Sank D, Jeffrey E, Chen Y, Yin Y, Chiaro B, Mutus J, Neill C, O'Malley P, Roushan P, Wenner J, White T C, Cleland A N and Martinis J M 2013 Phys. Rev. Lett. 111 080502
[13] Chen Y, Neill C, Roushan P, et al. 2014 Phys. Rev. Lett. 113 220502
[14] Geller M R, Donate E, Chen Y, Neill C, Roushan P and Martinis J M 2015 Phys. Rev. A 92 012320
[15] Han S, Rouse R and Lukens J E 2000 Phys. Rev. Lett. 84 1300
[16] Orlando T P, Mooij J E, Tian L, van der Wal C H, Levitov L S, Lloyd S and Mazo J J 1999 Phys. Rev. B 60 15398
[17] Mooij J E, Orlando T P, Levitov L, Tian L, van der Wal C H and Lloyd S 1999 Science 285 1036
[18] Yan F, Gustavsson S, Kamal A, Birenbaum J, Sears A P, Hover D, Gudmundsen T J, Rosenberg D, Samach G, Weber S, Yoder J L, Orlando T P, Clarke J, Kerman A J and Oliver W D 2016 Nat. Commun. 7 12964
[19] You J Q, Hu X, Ashhab S and Nori Franco 2007 Phys. Rev. B 75 140515(R)
[20] Steffen M, Kumar S, DiVincenzo D P, et al. 2010 Phys. Rev. Lett. 105 100502
[21] Nguyen L B, Lin Y, Somoroff A, Mencia R, Grabon N and Manucharyan V 2019 Phys. Rev. X 9 041041
[22] Manucharyan V E, Koch J, Glazman L I and Devoret M H 2009 Science 326 113
[23] Martinis J M, Nam S, Aumentado J and Urbina C 2002 Phys. Rev. Lett. 89 117901
[24] Yu Y, Han S, Chu X, Chu S and Wang Z 2002 Science 296 889
[25] Ramos R C, Gubrud M A, Berkley A J, Anderson R J, Lobb J C and Wellstood C F 2001 IEEE T. Appl. Supercon. 11 998
[26] Brito F and Caldeira A O 2008 New J. Phys. 10 115014
[27] Martinis J M, Devoret M H and Clarke J 1985 Phys. Rev. Lett. 55 1543
[28] Martinis J M 2009 Quantum Inf. Processing 8 81
[29] Lang K M, Nam S, Aumentado J, Urbina C and Martinis J M 2003 IEEE T. Appl. Supercon. 13 989
[30] Simmonds R W, Lang K M, Hite D A, Nam S, Pappas D P and Martinis J M 2004 Phys. Rev. Lett. 93 077003
[31] Brooks P, Kitaev A and Preskill J 2013 Phys. Rev. A 87 052306
[32] Gyenis A, Mundada P S, Di Paolo A, Hazard T M, You X, Schuster D I, Koch J, Blais A and Houck A 2021 Phys. Rev. X 2 010339
[33] Pechenezhskiy I V, Mencia R A, Nguyen L B, Lin Y and Manucharyan V E 2020 Nature 585 368
[34] Chang J B, Vissers M R, Córcoles A D, Sandberg M, Gao J, Abraham D W, Chow J M, Gambetta J M, Rothwell M B, Keefe G A, Steffen M and Pappas D P 2013 Appl. Phys. Lett. 103 012602
[35] Takita M, Córcoles A D, Magesan E, et al. Abdo B, Brink M, Cross A, Chow J M, and Gambetta J M 2016 Phys. Rev. Lett. 117 210505
[36] Rigetti C, Gambetta J M, Poletto S, Plourde B L T, Chow J M, Córcoles A D, Smolin J A, Merkel S T, Rozen J R, Keefe G A, Rothwell M B, Ketchen M B and Steffen M 2012 Phys. Rev. B 86 100506(R)
[37] Pop I M, Geerlings K, Catelani G, Schoelkopf R, Glazman L and Devoret M H 2014 Nature 508 369
[38] Jin X Y, Kamal A, Sears A P, Gudmundsen T, Hover D, Miloshi J, Slattery R, Yan F, Yoder J, Orlando T P, Gustavsson S and Oliver W D 2015 Phys. Rev. Lett. 114 240501
[39] Dial O, McClure D T, Poletto S, et al. 2016 Supercond. Sci. Tech. 29 044001
[40] Tsioutsios I, Serniak K, Diamond S, Sivak V V, Wang Z, Shankar S, Frunzio L, Schoelkopf R J and Devoret M H 2020 AIP Adv. 10 065120
[41] Barends R, Kelly J, Megrant A, et al. 2014 Nature 508 500
[42] Dunsworth A, Megrant A, Quintana C, et al. 2017 Appl. Phys. Lett. 111 022601
[43] Yan F, Gustavsson S, Kamal A, et al. 2016 Nat. Commun. 7 12964
[44] Krantz P, Kjaergaard M, Yan F, Orlando T P, Gustavsson S and Oliver W D 2019 Appl. Phys. Rev. 6 021318
[45] Gu X, Kockum A F, Miranowicz A, Liu Y and Nori F 2017 Phys. Rep. 718-719 1
[46] Blais A, Huang R, Wallraff A, Girvin S M and Schoelkopf R J 2004 Phys. Rev. A 69 062320
[47] Sank D T 2014 Fast, accurate state measurement in superconducting qubits (Ph.D. Dissertation) (Santa Barbara: University of California, Santa Barbara)
[48] McKay D C, Wood C J, Sheldon S, Chow J M and Gambetta J M 2017 Phys. Rev. A 96 022330
[49] Sakurai J J and Napolitano J 2011 Modern Quantum Mechanics, 2nd edn. (San Francisco: Pearson) p. 177
[50] Nielsen M A and Chuang I L 2010 Quantum Computation and Quantum Information, 10th Anniversary edn. (Cambridge: Cambridge University Press) p. 194
[51] Loss D and DiVincenzo D P 1998 Phys. Rev. A 57 120
[52] Schuch N and Siewert J 2003 Phys. Rev. A 67 032301
[53] DiCarlo L, Chow J M, Gambetta J M, Bishop L S, Johnson B R, Schuster D I, Majer J, Blais A, Frunzio L and Girvin S M 2009 Nature 460 240
[54] Kelly J, Barends R, Campbell B, et al. 2014 Phys. Rev. Lett. 112 240504
[55] Li S, Castellano A D, Wang S, Wu Y, Gong M, Yan Z, Rong H, Deng H, Zha Chen, Guo C, Sun L, Peng C, Zhu X and Pan J 2019 npj Quantum Inform. 5 84
[56] Barends R, Quintana C M, Petukhov A G, et al. 2019 Phys. Rev. Lett. 123 210501
[57] Rigetti C and Devoret M 2010 Phys. Rev. B 81 134507
[58] Chow J M, Córcoles A D, Gambetta J M, Rigetti C, Johnson B R, Smolin J A, Rozen J R, Keefe G A, Rothwell M B, Ketchen M B and Steffen M 2011 Phys. Rev. Lett. 107 080502
[59] Chow J M, Gambetta J M, Córcoles A D, Merkel S T, Smolin J A, Rigetti C, Poletto S, Keefe G A, Rothwell M B, Rozen J R, Ketchen M B and Steffen M 2012 Phys. Rev. Lett. 109 060501
[60] Paik H, Mezzacapo A, Sandberg M, McClure D T, Abdo B, Córcoles A D, Dial O, Bogorin D F, Plourde B L T, Steffen M, Cross A W, Gambetta J M and Chow J M 2016 Phys. Rev. Lett. 117 250502
[61] Reagor M, Osborn C B, Tezak N, et al. 2018 Sci. Adv. 4 eaao3603
[62] Li S, Castellano A D, Wang S, Wu Y, Gong M, Yan Z, Rong H, Deng H, Zha C, Guo C, Sun L, Peng C, Zhu X and Pan J 2019 npj Quantum Inform. 5 84
[63] Rol M A, Battistel F, Malinowski F K, Bultink C C, Tarasinski B M, Vollmer R, Haider N, Muthusubramanian N, Bruno A, Terhal B M and DiCarlo L 2019 Phys. Rev. Lett. 123 120502
[64] Hong S S, Papageorge A T, Sivarajah P, Crossman G, Dider N, Polloreno A M, Sete E A, Turkowski S W, da Silva M P and Johnson B R 2020 Phys. Rev. Lett. 101 012302
[65] Xu Y, Chu J, Yuan J, Qiu J, Zhou Y, Zhang L, Tan X, Yu Y, Liu S, Li J, Yan F and Yu D 2020 Phys. Rev. Lett. 125 240503
[66] Kjaergaard M, Schwartz M E, Greene A, et al. 2020 arXiv: 2001.08838v3 [quant-ph]
[67] Sheldon S, Magesan E, Chow J M and Gambetta J M 2016 Phys. Rev. A 93 060302
[68] Mckay D C, Filipp S, Mezzacapo A, Magesan E, Chow J M and Gambetta J M 2016 Phys. Rev. Appl. 6 064007
[69] Caldwell S A, Didier N, Ryan C A, et al. 2018 Phys. Rev. Appl. 10 034050
[70] Mundada P, Zhang G, Hazard T and Houck A 2019 Phys. Rev. Appl. 12 054023
[71] Chou K S, Blumoff J Z, Wang C S, Reinhold P C, Axline C J, Gao Y Y, Frunzio L, Devoret M H, Jiang L and Schoelkopf R J 2018 Nature 561 368
[72] Rosenblum S, Gao Y Y, Reinhold P, Wang C, Axline J, Frunzio L, Girvin S M, Jiang L, Mirrahimi M, Devoret M H and Schoelkopf R J 2018 Nat. Commun. 9 652
[73] Xu K, Ning W, Huang X, Han P, Li H, Yang Z, Zheng D, Fan H and Zheng S 2021 Optica 8 972
[74] van de Wal C H, ter Haar A C J, Wilhelm F K, Schouten R N, Harmans C J P M, Orlando T P, Lloyd S and Mooji J E 2000 Science 290 773
[75] Clerk A A, Girvin S M, Marquardt F and Schoelkopf R J 2008 Rev. Mod. Phys. 82 1155
[76] Caves C M 1982 Phys. Rev. D 26 1817
[77] Mutus J Y, White T C, Barends R, et al. 2014 Appl. Phys. Lett. 104 263513
[78] Macklin C, O'Brien K, Hover D, Schwartz M F, Bolkhovsky V, Zhang X, Oliver W D and Siddiqi I 2015 Science 350 307
[79] Deutsch D 1985 Proc. R. Soc. Lond. A 400 97
[80] Deutsch D and Jozsa R 1992 Proc. R. Soc. Lond. A 439 553
[81] Dicarlo L, Chow J M, Gambetta J M, Bishop L S, Johnson B R, Schuster D I, Majer J, Blais A, Frunzio L, Girvin S M and Schoelkopf R J 2009 Nature 460 240
[82] Shor P W 1994 Proceedings of 35th Annual Symposium on the Foundations of Computer Science, November 20-22 1994, Los Alamitos, USA, p. 124
[83] Zalka Christof 1998 arXiv: quant-ph/9806084v1
[84] Lucero E, Barends R, Chen Y, Kelly J, Mariantoni M, Megrant A, O'Malley, Sank D, Vainsencher, Wenner J, White T, Yin Y, Cleland A N and Martinis J M 2012 Nat. Phys. 8 719
[85] Harrow A W, Hassidim A and Lloyd S 2009 Phys. Rev. Lett. 103 150502
[86] Chen C, Shiau S, Wu M and Wu Y 2019 Sci. Rep. UK 9 16251
[87] Lee Y, Joo J and Lee S 2019 Sci. Rep. UK 9 4778
[88] Farhi E, Goldstone J and Gutmann S 2014 arXiv: 1411.4028 [quant-ph]
[89] Guerreschi G G and Matsuura A Y 2019 Sci. Rep. 9 6903
[90] Neeley M, Ansmann M, Bialczak R C, Hofheinz M, Katz N, Lucero E, O'Connell A, Wang H, Cleland A N and Martinis J M 2008 Nat. Phys. 4 523
[91] Chow J M, Gambetta J M, Tornberg L, Koch J, Bishop L S, Houck A A, Johnson B R, Frunzio S M, Girvin S M and Schoelkopf R J 2009 Phys. Rev. Lett. 102 090502
[92] Hou Z, Tang J F, Ferrie C, Xiang G Y, Li C F and Guo G C 2020 Phys. Rev. A 101 022317
[93] Mckay D C, Sheldon S, Smolin J A, Chow J M and Gambetta J M 2019 Phys. Rev. Lett. 122 200502
[94] Helsen J, Wallman J J, Flammia S T and Wehner S 2019 Phys. Rev. A 100 032304
[95] Preskill J 1997 arXiv: 9712048 [quant-ph]
[96] Shor P W 1995 Phys. Rev. A 52 R2493(R)
[97] Steane A M 1996 Phys. Rev. A 54 4741
[98] Calderbank A R, Rains E M, Shor P W and Sloane N J A 1997 Phys. Rev. Lett. 78 405
[99] Nielsen M A and Chuang I L 2010 Quantum Computation and Quantum Information, 10th Anniversary edn. (Cambridge: Cambridge University Press) p. 453
[100] Dennis E, Kitaev A, Landahl A and Preskill J 2002 J. Math Phys. 43 4452
[101] Wang D S, Fowler A G and Hollenberg L C 2011 Phys. Rev. A 83 020302
[102] Fowler A G, Mariantoni M, Martinis J M and Cleland A N 2012 Phys. Rev. A 86 032324
[103] Ghosh J, Fowler A G, Martinis J M and Geller M R 2013 Phys. Rev. A 88 062329
[104] Brown N C, Cross A and Brown K R 2020 IEEE International Conference on Quantum Computing and Engineering, October 11-16, 2020, Broomfield, USA 286
[105] Kelly J, Barends R, Fowler A G, et al. 2015 Nature 519 66
[106] Takita M, Cross A W, Córcoles A D, Chow J M and Gambetta J M 2017 Phys. Rev. Lett. 119 180501
[107] Andersen C A, Remm A, Lazar S, Krinner S, Lacroix N, Norris G J, Gabureac M, Eichler C and Wallraff A 2020 Nat. Phys. 16 875
[108] Chuang I L, Leung D W and Yamamoto Y 1997 Phys. Rev. A 56 1114
[109] Gottesman D, Kitaev A and Preskill J 2001 Phys. Rev. A 64 012310
[110] Mirrahimi M, Leghtas Z, Albert V V, Touzard S, Schoelkopf R J, Jiang L and Devoret M H 2014 New J. Phys. 16 045014
[111] Wang C, Gao Y Y, Reinhold P, Heeres R W, Ofek N, Chou K, Axline C, Reagor M, Blumoff J, Sliwa K M, Frunzio L, Girvin S M, Jiang L, Mirrahimi M, Devoret M H and Schoelkopf R J 2016 Science 352 1087
[112] Rosenblum S, Gao Y Y, Reinhold P, Wang C, Axline C J, Frunzio L, Girvin S M, Jiang L, Mirrahimi M, Devoret M H and Schoelkopf R J 2018 Nat. Commun. 9 652
[113] Hu L, Ma Y, Cai W, Mu X, Xu Y, Wang W, Wu Y, Wang H, Song Y P, Zou C L, Girvin S M, Duan L M and Sun L 2019 Nat. Phys. 15 503
[114] Ma Y, Xu Y, Mu X, Cai W, Hu L, Wang W, Pan X, Wang H, Song Y P, Zou C L and Sun L 22020 Nat. Phys. 16 827
[115] Feynman R P 1982 Int. J. Theor. Phys. 21 467
[116] Lloyd S 1996 Science 273 1073
[117] Paraoanu G S 2014 J. Low. Temp. Phys. 175 633
[118] Buluta I and Nori F 2009 Science 326 108
[119] Houck A A, Türeci H E and Koch J 2012 Nat. Phys. 8 292
[120] Raftery J J 2017 Nonequilibrium Quantum Simulation in Circuit QED (Ph.D. dissertation) (Princeton: Princeton University)
[121] Xu K, Sun Z H, Liu W, Zhang Y R, Li H, Dong H, Ren W, Zhang P, Nori F, Zheng D, Fan H and Wang H 2020 Sci. Adv. 6 eaba4935
[122] Liu W W, Zheng D N and Zhao S P 2018 Chin. Phys. B 27 027401
[123] Ward N J, Kassal I and Aspuru-Guzik A 2009 J. Chem. Phys. 130 194105
[124] Kassal I, Whitfield J D, Perdomo-Ortiz A, Yung M H and Aspuru-Guzik A 2011 Annu. Rev. Phys. Chem. 62 185
[125] Brown K L, Munro W J and Kendon V M 2010 Entropy 12 2268
[126] Nielsen M A and Chuang I L 2010 Quantum Computation and Quantum Information, 10th Anniversary edn. (Cambridge: Cambridge University Press) p. 206
[127] Suzuki M 1995 Phys. Lett. A 201 425
[128] Babbush R, McClean J, Wecker D, Aspuru-Guzik A and Wiebe N 2015 Phys. Rev. A 91 022311
[129] Clark C R, Metodi T S, Gasster S D and Brown K R 2009 Phys. Rev. A 79 062314
[130] Somma R, Ortiz G, Gubernatis J E, Knill E and Laflamme R 2002 Phys. Rev. A 65 042323
[131] Kjaergaard M, Schwartz M E, Braumüller J, Krantz P, Wang J I J, Gustavsson S and Oliver W D 2020 Annu. Rev. Conden. Mater. Phys. 11 369
[132] Lamata L, Parra-Rodriguez A, Sanz M and Solano E 2018 Adv. Phys. X 3 519
[133] Girvin S M and Yang K 2019 Modern Condensed Matter Physics (Cambridge: Cambridge University Press) p. 486
[134] Heras U L, García-Álvarez L, Mezzacapo A, Solano E and Lamata L 2015 EPJ Quantum Technol. 2 8
[135] Barends R, Lamata L, Kelly J, et al. 2015 Nat. Commun. 6 7654
[136] Dallaire-Demers P L and Wilhelm F K 2016 Phys. Rev. A 94 062304
[137] Dallaire-Demers P L and Wilhelm F K 2016 Phys. Rev. A 93 032303
[138] Reiner J M, Marthaler M, Braumüller J, Weides M and Schön G 2016 Phys. Rev. A 94 032338
[139] Cai Z 2020 Phys. Rev. Appl. 14 014059
[140] Roushan P, Neil C, Tangpanitanon, et al. 2017 Science 358 1175
[141] Ma R, Saxberg B, Owens C, Leung N, Lu Y, Simon J and Schuster D I 2019 Nature 566 51
[142] Paredes B, Widera A, Murg V, Mandel O, Fölling S, Cirac I, Shlyapnikov G V, Hänsch T W and Bloch I 2004 Nature 429 277
[143] Yanay Y, Braumüller J, Gustavsson S, Oliver W D and Tahan C 2020 npj Quantum Inform. 6 58
[144] Ye Y, Ge Z, Wu Y, et al. 2019 Phys. Rev. Lett. 123 050502
[145] Li S S, Ge Z Y and Fan H 2020 Phys. Rev. A 102 062409
[146] Roushan P, Neill C, Chen Y, et al. 2014 Nature 515 241
[147] Schroer M D, Kolodrubetz M H, Kindel W F, Sandberg M, Gao J, Vissers M R, Pappas D P, Polkovnikov A and Lehnert K W 2014 Phys. Rev. Lett. 113 050402
[148] Tan X, Zhao Y, Liu Q, Xue G, Yu H F, Wang Z D and Yu Y 2017 npj Quantum Mater. 2 60
[149] Tan X, Zhang D W, Liu Q, Xue G, Yu H F, Zhu Y Q, Yan H, Zhu S L and Yu Y 2018 Phys. Rev. Lett. 120 130503
[150] Tan X, Zhao Y X, Liu Q, Xue G, Yu H F, Wang Z D and Yu Y 2019 Phys. Rev. Lett. 122 010501
[151] Cai W, Han J, Mei F, Xu Y, Ma Y, Li X, Wang H, Song Y P, Xue Z Y, Yin Z Q, Jia S and Sun L 2019 Phys. Rev. Lett. 123 080501
[152] Cao J, Yi X X and Wang H F 2020 Phys. Rev. A 102 032619
[153] Magazzú, L, Denisov S and Hänggi P 2018 Phys. Rev. E 98 022111
[154] Magazzú, L, Denisov S and Hänggi P 2017 Phys. Rev. A 96 042103
[155] Leppäkangas J, Braumüller J, Hauck M, Reiner J M, Schwenk I, Zanker S, Fritz L, Ustinov A V, Weides M and Marthaler M 2018 Phys. Rev. A 97 052321
[156] Muñoz C S, Kockum A F, Miranowicz A and Nori F 2020 Phys. Rev. A 102 033716
[157] Kockum A F, Miranowicz A, Liberato S D, Savasta S and Nori F 2019 Nat. Rev. Phys. 1 19
[158] Yoshihara F, Fuse T, Ashhab S, Kakuyanagi K, Saito S and Semba K 2017 Nat. Phys. 13 44
[159] Indrajeet S, Wang H, Hutchings M D, Taketani B G, Wilhelm F K, LaHaye M D and Plourde B L T 2020 Phys. Rev. Appl. 14 064033
[160] Wang H, Zhuravel A P, Indrajeet, Taketani B G, Hutchings M D, Hao Y, Rouxinol F, Wilhelm F K, LaHaye M D, Ustinov A V and Plourde B L T 2019 Phys. Rev. Appl. 11 054062
[161] Ivanov D A, Ivanova T Y, Caballero-Benitez S F and Mekhov I B 2020 Phys. Rev. Lett. 124 010603
[162] Filippis G D, Candia A D, Cangemi L M, Sassetti M, Fazio R and Cataudella V 2020 Phys. Rev. B 101 180408(R)
[163] 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 and White A G 2010 Nat. Chem. 2 106
[164] Cao Y, Romero J, Olson J P, Degroote M, Johnson P D, Kieferová M, Kivlichan I D, Menke T, Peropadre B, Sawaya N P D, Sim S, Veis L and Aspuru-Guzik A 2019 Chem. Rev. 119 10856
[165] Moll N, Barkoutsos P, Bishop L S, Chow J M, Cross A, Egger D J, Filipp S, Fuhrer A, Gambetta J M, Ganzhorn M, Kandala A, Mezzacapo A, Müller P, Riess W, Salis G, Smolin J, Tavernelli I and Temme 2018 Quantum Sci. Technol. 3 030503
[166] Peruzzo A, McClean J, Shadbolt P, Yung M H, Zhou X Q, Love P J, Aspuru-Guzik A and O'Brien J L 2014 Nat. Commun. 5 4213
[167] O'Malley P J J, Babbush R, Kivlichan I D, et al. 2015 Phys. Rev. X 6 031007
[168] Colless J I, Ramasesh V V, Dahlen D, Blok M S, Kimchi-Schwartz M E, McClean J R, Carter J, de Jong W A and Siddiqi I 2018 Phys. Rev. X 8 011021
[169] Kandala A, Mezzacapo A, Temme K, Takita M, Brink M, Chow J M and Gambetta J M 2017 Nature 549 242
[170] Google AI Quantum and Collaborators, Arute F, Arya K, et al. 2020 Science 369 1084
[171] Pedernales J S, Di Candia R, Ballester D and Solano E 2013 New J. Phys. 15 055008
[172] Mei F, Stojanović V M, Siddiqi I and Tian L 2013 Phys. Rev. B 88 224502
[173] Guo X Y, Yang C, Zeng Y, Peng Y, Li H K, Deng H, Jin Y R, Chen S, Zheng D and Fan H 2019 Phys. Rev. Appl. 11 044080
[174] Guo Q, Cheng C, Sun Z H, Song Z, Li H, Wang Z, Ren W, Dong H, Zheng D, Zhang Y R, Mondaini R, Fan H and Wang H 2020 Nat. Phys. 17 234
[175] Stella L, Santoro G E and Tosatti E 2005 Phys. Rev. B 72 014303
[176] Hauke P, Katzgraber H G, Lechner W, Nishimori H and Oliver W D 2020 Rep. Prog. Phys. 83 054401
[177] Neven H, Denchev V S, Rose G and Macready W G 2009 arXiv: 0912.0779v1 [quant-ph]
[178] Li R Y, Felice R D, Rohs R and Lidar D A 2018 npj Quantum Inform. 4 14
[179] Hernandez M and Aramon M 2017 Quantum Inf. Process. 16 133
[180] Das S, Wildridge A J, Vaidya S B and Track A J 2019 arXiv: 1903.08879v3 [hep-ex]
[181] Mott A, Job J, Vlimant J R, Lidar D and Spiropulu M 2017 Nature 550 375
[182] Ronnow T F, Wang Z, Job J, Boixo S, Isakov S V, Wecker D, Martinis J M, Lidar D A and Troyer M 2014 Science 345 420
[183] Johnson M W, Amin M H S, Gildert S, et al. 2011 Nature 473 194
[184] King A D, Carrasquilla J, Raymond J, et al. 2018 Nature 560 456
[185] Harris R, Sato Y, Berkley A J, et al. 2018 Science 361 162
[186] Jiang S, Britt K A, McCaskey A J, Humble T S and Kais S 2018 Sci. Rep. 8 17667
[187] Albash T and Lidar D A 2018 Phys. Rev. X 8 031016
[188] Mandrá S, Katzgraber H G and Thomas C 2017 Quantum Sci. Technol. 2 038501
[189] Katzgraber H G 2018 Quantum Sci. Technol. 3 030505
[190] Vedral V, Barenco A and Ekert A 1996 Phys. Rev. A 54 147

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[3]	Variational quantum simulation of thermal statistical states on a superconducting quantum processer Xue-Yi Guo(郭学仪), Shang-Shu Li(李尚书), Xiao Xiao(效骁), Zhong-Cheng Xiang(相忠诚), Zi-Yong Ge(葛自勇), He-Kang Li(李贺康), Peng-Tao Song(宋鹏涛), Yi Peng(彭益), Zhan Wang(王战), Kai Xu(许凯), Pan Zhang(张潘), Lei Wang(王磊), Dong-Ning Zheng(郑东宁), and Heng Fan(范桁). Chin. Phys. B, 2023, 32(1): 010307.
[4]	Analysis and improvement of verifiable blind quantum computation Min Xiao(肖敏) and Yannan Zhang(张艳南). Chin. Phys. B, 2022, 31(5): 050305.
[5]	Optimized quantum singular value thresholding algorithm based on a hybrid quantum computer Yangyang Ge(葛阳阳), Zhimin Wang(王治旻), Wen Zheng(郑文), Yu Zhang(张钰), Xiangmin Yu(喻祥敏), Renjie Kang(康人杰), Wei Xin(辛蔚), Dong Lan(兰栋), Jie Zhao(赵杰), Xinsheng Tan(谭新生), Shaoxiong Li(李邵雄), and Yang Yu(于扬). Chin. Phys. B, 2022, 31(4): 048704.
[6]	Measuring Loschmidt echo via Floquet engineering in superconducting circuits Shou-Kuan Zhao(赵寿宽), Zi-Yong Ge(葛自勇), Zhong-Cheng Xiang(相忠诚), Guang-Ming Xue(薛光明), Hai-Sheng Yan(严海生), Zi-Ting Wang(王子婷), Zhan Wang(王战), Hui-Kai Xu(徐晖凯), Fei-Fan Su(宿非凡), Zhao-Hua Yang(杨钊华), He Zhang(张贺), Yu-Ran Zhang(张煜然), Xue-Yi Guo(郭学仪), Kai Xu(许凯), Ye Tian(田野), Hai-Feng Yu(于海峰), Dong-Ning Zheng(郑东宁), Heng Fan(范桁), and Shi-Ping Zhao(赵士平). Chin. Phys. B, 2022, 31(3): 030307.
[7]	Quantum simulation of lattice gauge theories on superconducting circuits: Quantum phase transition and quench dynamics Zi-Yong Ge(葛自勇), Rui-Zhen Huang(黄瑞珍), Zi-Yang Meng(孟子杨), and Heng Fan(范桁). Chin. Phys. B, 2022, 31(2): 020304.
[8]	Molecular beam epitaxy growth of quantum devices Ke He(何珂). Chin. Phys. B, 2022, 31(12): 126804.
[9]	Quantum simulation of τ-anti-pseudo-Hermitian two-level systems Chao Zheng(郑超). Chin. Phys. B, 2022, 31(10): 100301.
[10]	Quantum simulation and quantum computation of noisy-intermediate scale Kai Xu(许凯), and Heng Fan(范桁). Chin. Phys. B, 2022, 31(10): 100304.
[11]	Shortcut-based quantum gates on superconducting qubits in circuit QED Zheng-Yin Zhao(赵正印), Run-Ying Yan(闫润瑛), and Zhi-Bo Feng(冯志波). Chin. Phys. B, 2021, 30(8): 088501.
[12]	Universal quantum control based on parametric modulation in superconducting circuits Dan-Yu Li(李丹宇), Ji Chu(储继), Wen Zheng(郑文), Dong Lan(兰栋), Jie Zhao(赵杰), Shao-Xiong Li(李邵雄), Xin-Sheng Tan(谭新生), and Yang Yu(于扬). Chin. Phys. B, 2021, 30(7): 070308.
[13]	Quantum computation and simulation with vibrational modes of trapped ions Wentao Chen(陈文涛), Jaren Gan, Jing-Ning Zhang(张静宁), Dzmitry Matuskevich, and Kihwan Kim(金奇奂). Chin. Phys. B, 2021, 30(6): 060311.
[14]	Quantum computation and error correction based on continuous variable cluster states Shuhong Hao(郝树宏), Xiaowei Deng(邓晓玮), Yang Liu(刘阳), Xiaolong Su(苏晓龙), Changde Xie(谢常德), and Kunchi Peng(彭堃墀). Chin. Phys. B, 2021, 30(6): 060312.
[15]	Fabrication of microresonators by using photoresist developer as etchant Shu-Qing Song(宋树清), Jian-Wen Xu(徐建文), Zhi-Kun Han(韩志坤), Xiao-Pei Yang(杨晓沛), Yu-Ting Sun(孙宇霆), Xiao-Han Wang(王晓晗), Shao-Xiong Li(李邵雄), Dong Lan(兰栋), Jie Zhao(赵杰), Xin-Sheng Tan(谭新生), and Yang Yu(于扬). Chin. Phys. B, 2021, 30(6): 060313.

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