Progress of coupled superconducting qubits

Zhao Na; Liu Jian-She; Li Tie-Fu; Chen Wei

doi:10.7498/aps.62.010301

Abstract

Quantum system based on superconducting circuit is considered as one of the most promising schemes to realize quantum computers due to its controllability, low dissipation and scalability. To implement large scale quantum computation, coherent coupling between qubits is crucial for controlling and transferring quantum states. In this review paper, we summarize the progress of coupled superconducting qubits, including local coupling via capacitance or inductance, multiple qubits coherent interaction through one-dimensional resonator as circuit quantum electrodynamics, and superconducting qubits in a three-dimensional waveguide cavity. Hamiltonians of various coupling schemes are analyzed and classification of these coupling structures is summarized based on the coupling range and tunability.

Keywords:

Authors and contacts

1.
Institute of Microelectronics, Tsinghua University, Beijing 100084, China;
2.
Tsinghua National Laboratory for Information Science and Technology (TNList), Tsinghua University, Beijing 100084, China
Funds: Project supported by the National Basic Research Program of China (Grant No. 2011CBA00304) and the National Natural Science Foundation of China (Grant No. 60836001).

References

[1]	Nielsen M A, Chuang I L 2002 Quantum Computation and Quantum Information (Cambridge: Cambridge Univ. Press) p 1
[2]	Josephson B D 1962 Phys. Lett. 1 251
[3]	Nakamura Y, Pashkin Y A, Tsai J S 1999 Nature 398 786
[4]	Yu Y, Han S Y, Chu X, Chu S I, Wang Z 2002 Science 296 889
[5]	Chiorescu I, Nakamura Y, Harmans C J, Mooij J E 2003 Science 299 1869
[6]	Pashkin Y A, Yamamoto T, Astafiev O, Nakamura Y, Averin D V, Tsai J S 2003 Nature 421 823
[7]	Yamamoto T, Pashkin Y A, Astafiev O, Nakamura Y, Tsai J S 2003 Nature 425 941
[8]	Berkley A J, Xu H, Ramos R C, Gubrud M A, Strauch F W, Johnson P R, Anderson J R, Dragt A J, Lobb C J, Wellstood F C 2003 Science 300 1548
[9]	Majer J B, Paauw F G, ter Haar A, Harmans C, Mooij J E 2005 Phys. Rev. Lett. 94 090501
[10]	Cory D G, Laflamme R, Knill E, Viola L, Havel T F, Boulant N, Boutis G, Fortunato E, Lloyd S, Martinez R, Negrevergne C, Pravia M, Sharf Y, Teklemariam G, Weinstein Y S, Zurek W H 2000 Fortschr. Phys. 48 875
[11]	Hime T, Reichardt P A, Plourde B L T, Robertson T L, Wu C E, Ustinov A V, Clarke J 2006 Science 314 1427
[12]	van der Ploeg S H W, Izmalkov A, van den Brink A M, Hubner U, Grajcar M, Ilíchev E, Meyer H G, Zagoskin A M 2007 Phys. Rev. Lett. 98 057004
[13]	Harris R, Berkley A J, Johnson M W, Bunyk P, Govorkov S, Thom M C, Uchaikin S, Wilson A B, Chung J, Holtham E, Biamonte J D, Smirnov A Yu, Amin M H S, van den Brink A M 2007 Phys. Rev. Lett. 98 177001
[14]	Fay A, Hoskinson E, Lecocq F, Levy L P, Hekking F W J, Guichard W, Buisson O 2008 Phys. Rev. Lett. 100 187003
[15]	Niskanen A O, Harrabi K, Yoshihara F, Nakamura Y, Lloyd S, Tsai J S 2007 Science 316 723
[16]	You J Q, Tsai J S, Nori F 2002 Phys. Rev. Lett. 89 197902
[17]	Blais A, Huang R S, Wallraff A, Girvin S M, Schoelkopf R J 2004 Phys. Rev. A 69 062320
[18]	Schoelkopf R J, Girvin S M 2008 Nature 451 664
[19]	Jaynes E T, Cummings F W 1963 Proc. IEEE 51 89
[20]	Haroche S 1992 Fundamental Systems in Quantum Optics (New York: Elsevier) p 767
[21]	Raimond J, Brune M, Haroche S 2001 Rev. Mod. Phys. 73 565
[22]	Schuster D I, Houck A A, Schreier J A, Wallraff A, Gambetta J M, Blais A, Frunzio L, Majer J, Johnson B, Devoret M H, Girvin S M, Schoelkopf R J 2007 Nature 445 515
[23]	Wallraff A, Schuster D I, Blais A, Frunzio L, Majer J, Devoret M H, Girvin S M, Schoelkopf R J 2005 Phys. Rev. Lett. 95 060501
[24]	Brune M, Nussenzveig P, Schmidt K F, Bernardot F, Maali A, Raimond J M, Haroche S 1994 Phys. Rev. Lett. 72 3339
[25]	Schuster D I, Wallraff A, Blais A, Frunzio L, Huang R S, Majer J, Girvin S M, Schoelkopf R J 2005 Phys. Rev. Lett. 94 123602
[26]	Wallraff A, Schuster D I, Blais A, Frunzio L, Huang R S, Majer J, Kumar S, Girvin S M, Schoelkopf R J 2004 Nature 431 162
[27]	Braginsky V B, Khalili F Y 1996 Rev. Mod. Phys. 68 1
[28]	Abdumalikov A A, Astafiev O, Nakamura Y, Pashkin Y A, Tsai J S 2008 Phys. Rev. B 78 180502
[29]	Majer J, Chow J M, Gambetta J M, Koch J, Johnson B R, Schreier J A, Frunzio L, Schuster D I, Houck A A, Wallraff A, Blais A, Devoret M H, Girvin S M, Schoelkopf R J 2007 Nature 449 443
[30]	Blais A, Gambetta J, Wallraff A, Schuster D I, Girvin S M, Devoret M H, Schoelkopf R J 2007 Phys. Rev. A 75 032329
[31]	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, Schoelkopf R J 2009 Nature 460 240
[32]	Sillanpaa M A, Park J I, Simmonds R W 2007 Nature 449 438
[33]	DiCarlo L, Reed M D, Sun L, Johnson B R, Chow J M, Gambetta J M, Frunzio L, Girvin S M, Devoret M H, Schoelkopf R J 2010 Nature 467 574
[34]	Mariantoni M, Wang H, Bialczak R C, Lenander M, Lucero E, Neeley M, O'Connell A D, Sank D, Weides M, Wenner J, Yamamoto T, Yin Y, Zhao J, Martinis J M, Cleland A N, 2011 Nat. Phys. 7 287
[35]	Wang H, Hofheinz M, Ansmann M, Bialczak R C, Lucero E, Neeley M, O'Connell A D, Sank D, Wenner J, Cleland A N, Martinis J M 2008 Phys. Rev. Lett. 101 240401
[36]	Hofheinz M, Wang H, Ansmann M, Bialczak R C, Lucero E, Neeley M, O'Connell A D, Sank D, Wenner J, Martinis J M, Cleland A N 2009 Nature 459 546
[37]	Gao J S, Zmuidzinas J, Mazin B A, LeDuc H G, Day P K 2007 Appl. Phys. Lett. 90 102507
[38]	Chen W, Bennett D A, Patel V, Lukens J E 2008 Supercond. Sci. Technol. 21 075013
[39]	Wang H, Hofheinz M, Wenner J, Ansmann M, Bialczak R C, Lenander M, Lucero E, Neeley M, O'Connell A D, Sank D, Weides M, Cleland A N, Martinis J M 2009 Appl. Phys. Lett. 95 233508
[40]	Paik H, Schuster D I, Bishop L S, Kirchmair G, Catelani G, Sears A P, Johnson B R, Reagor M J, Frunzio L, Glazman L I, Girvin S M, Devoret M H, Schoelkopf R J 2011 Phys. Rev. Lett. 107 240501
[41]	Gao J S, Daal M, Vayonakis A, Kumar S, Zmuidzinas J, Sadoulet B, Mazin B A, Day P K, Leduc H G 2008 Appl. Phys. Lett. 92 152505
[42]	O'Connell A D, Ansmann M, Bialczak R C, Hofheinz M, Katz N, Lucero E, McKenney C, Neeley M, Wang H, Weig E M, Cleland A N, Martinis J M 2008 Appl. Phys. Lett. 92 112903
[43]	Rigetti C, Poletto S, Gambetta J M, Plourde B, Chow J M, Corcoles A D, Smolin J A, Merkel S T, Rozen J R, Keefe G A, Rothwell M B, Ketchen M B, Steffen M 2012 arXiv: 1202. 5533v1 [quant-ph]
[44]	Riste D, Leeuwen J, Ku H S, Lehnert K W, DiCarlo L 2012 arXiv:1204. 2479v1 [cond-mat. mes-hall]
[45]	Houck A A, Schuster D I, Gambetta J M, Schreier J A, Johnson B R, Chow J M, Frunzio L, Majer J, Devoret M H, Girvin S M, Schoelkopf R J 2007 Nature 449 328
[46]	Fragner A, Göppl M, Fink J M, Baur M, Bianchetti R, Leek P J, Blais A, Wallraff A 2008 Science 322 1357
[47]	Fink J M, Göppl M, Baur M, Bianchetti R, Leek P J, Blais A, Wallraff A 2008 Nature 454 315
[48]	Johnson B R, Reed M D, Houck A A, Schuster D I, Bishop L S, Ginossar E, Gambetta J M, DiCarlo L, Frunzio L, Girvin S M, Schoelkopf R J 2010 Nat. Phys. 6 663

Cited By

[1]	Nielsen M A, Chuang I L 2002 Quantum Computation and Quantum Information (Cambridge: Cambridge Univ. Press) p 1
[2]	Josephson B D 1962 Phys. Lett. 1 251
[3]	Nakamura Y, Pashkin Y A, Tsai J S 1999 Nature 398 786
[4]	Yu Y, Han S Y, Chu X, Chu S I, Wang Z 2002 Science 296 889
[5]	Chiorescu I, Nakamura Y, Harmans C J, Mooij J E 2003 Science 299 1869
[6]	Pashkin Y A, Yamamoto T, Astafiev O, Nakamura Y, Averin D V, Tsai J S 2003 Nature 421 823
[7]	Yamamoto T, Pashkin Y A, Astafiev O, Nakamura Y, Tsai J S 2003 Nature 425 941
[8]	Berkley A J, Xu H, Ramos R C, Gubrud M A, Strauch F W, Johnson P R, Anderson J R, Dragt A J, Lobb C J, Wellstood F C 2003 Science 300 1548
[9]	Majer J B, Paauw F G, ter Haar A, Harmans C, Mooij J E 2005 Phys. Rev. Lett. 94 090501
[10]	Cory D G, Laflamme R, Knill E, Viola L, Havel T F, Boulant N, Boutis G, Fortunato E, Lloyd S, Martinez R, Negrevergne C, Pravia M, Sharf Y, Teklemariam G, Weinstein Y S, Zurek W H 2000 Fortschr. Phys. 48 875
[11]	Hime T, Reichardt P A, Plourde B L T, Robertson T L, Wu C E, Ustinov A V, Clarke J 2006 Science 314 1427
[12]	van der Ploeg S H W, Izmalkov A, van den Brink A M, Hubner U, Grajcar M, Ilíchev E, Meyer H G, Zagoskin A M 2007 Phys. Rev. Lett. 98 057004
[13]	Harris R, Berkley A J, Johnson M W, Bunyk P, Govorkov S, Thom M C, Uchaikin S, Wilson A B, Chung J, Holtham E, Biamonte J D, Smirnov A Yu, Amin M H S, van den Brink A M 2007 Phys. Rev. Lett. 98 177001
[14]	Fay A, Hoskinson E, Lecocq F, Levy L P, Hekking F W J, Guichard W, Buisson O 2008 Phys. Rev. Lett. 100 187003
[15]	Niskanen A O, Harrabi K, Yoshihara F, Nakamura Y, Lloyd S, Tsai J S 2007 Science 316 723
[16]	You J Q, Tsai J S, Nori F 2002 Phys. Rev. Lett. 89 197902
[17]	Blais A, Huang R S, Wallraff A, Girvin S M, Schoelkopf R J 2004 Phys. Rev. A 69 062320
[18]	Schoelkopf R J, Girvin S M 2008 Nature 451 664
[19]	Jaynes E T, Cummings F W 1963 Proc. IEEE 51 89
[20]	Haroche S 1992 Fundamental Systems in Quantum Optics (New York: Elsevier) p 767
[21]	Raimond J, Brune M, Haroche S 2001 Rev. Mod. Phys. 73 565
[22]	Schuster D I, Houck A A, Schreier J A, Wallraff A, Gambetta J M, Blais A, Frunzio L, Majer J, Johnson B, Devoret M H, Girvin S M, Schoelkopf R J 2007 Nature 445 515
[23]	Wallraff A, Schuster D I, Blais A, Frunzio L, Majer J, Devoret M H, Girvin S M, Schoelkopf R J 2005 Phys. Rev. Lett. 95 060501
[24]	Brune M, Nussenzveig P, Schmidt K F, Bernardot F, Maali A, Raimond J M, Haroche S 1994 Phys. Rev. Lett. 72 3339
[25]	Schuster D I, Wallraff A, Blais A, Frunzio L, Huang R S, Majer J, Girvin S M, Schoelkopf R J 2005 Phys. Rev. Lett. 94 123602
[26]	Wallraff A, Schuster D I, Blais A, Frunzio L, Huang R S, Majer J, Kumar S, Girvin S M, Schoelkopf R J 2004 Nature 431 162
[27]	Braginsky V B, Khalili F Y 1996 Rev. Mod. Phys. 68 1
[28]	Abdumalikov A A, Astafiev O, Nakamura Y, Pashkin Y A, Tsai J S 2008 Phys. Rev. B 78 180502
[29]	Majer J, Chow J M, Gambetta J M, Koch J, Johnson B R, Schreier J A, Frunzio L, Schuster D I, Houck A A, Wallraff A, Blais A, Devoret M H, Girvin S M, Schoelkopf R J 2007 Nature 449 443
[30]	Blais A, Gambetta J, Wallraff A, Schuster D I, Girvin S M, Devoret M H, Schoelkopf R J 2007 Phys. Rev. A 75 032329
[31]	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, Schoelkopf R J 2009 Nature 460 240
[32]	Sillanpaa M A, Park J I, Simmonds R W 2007 Nature 449 438
[33]	DiCarlo L, Reed M D, Sun L, Johnson B R, Chow J M, Gambetta J M, Frunzio L, Girvin S M, Devoret M H, Schoelkopf R J 2010 Nature 467 574
[34]	Mariantoni M, Wang H, Bialczak R C, Lenander M, Lucero E, Neeley M, O'Connell A D, Sank D, Weides M, Wenner J, Yamamoto T, Yin Y, Zhao J, Martinis J M, Cleland A N, 2011 Nat. Phys. 7 287
[35]	Wang H, Hofheinz M, Ansmann M, Bialczak R C, Lucero E, Neeley M, O'Connell A D, Sank D, Wenner J, Cleland A N, Martinis J M 2008 Phys. Rev. Lett. 101 240401
[36]	Hofheinz M, Wang H, Ansmann M, Bialczak R C, Lucero E, Neeley M, O'Connell A D, Sank D, Wenner J, Martinis J M, Cleland A N 2009 Nature 459 546
[37]	Gao J S, Zmuidzinas J, Mazin B A, LeDuc H G, Day P K 2007 Appl. Phys. Lett. 90 102507
[38]	Chen W, Bennett D A, Patel V, Lukens J E 2008 Supercond. Sci. Technol. 21 075013
[39]	Wang H, Hofheinz M, Wenner J, Ansmann M, Bialczak R C, Lenander M, Lucero E, Neeley M, O'Connell A D, Sank D, Weides M, Cleland A N, Martinis J M 2009 Appl. Phys. Lett. 95 233508
[40]	Paik H, Schuster D I, Bishop L S, Kirchmair G, Catelani G, Sears A P, Johnson B R, Reagor M J, Frunzio L, Glazman L I, Girvin S M, Devoret M H, Schoelkopf R J 2011 Phys. Rev. Lett. 107 240501
[41]	Gao J S, Daal M, Vayonakis A, Kumar S, Zmuidzinas J, Sadoulet B, Mazin B A, Day P K, Leduc H G 2008 Appl. Phys. Lett. 92 152505
[42]	O'Connell A D, Ansmann M, Bialczak R C, Hofheinz M, Katz N, Lucero E, McKenney C, Neeley M, Wang H, Weig E M, Cleland A N, Martinis J M 2008 Appl. Phys. Lett. 92 112903
[43]	Rigetti C, Poletto S, Gambetta J M, Plourde B, Chow J M, Corcoles A D, Smolin J A, Merkel S T, Rozen J R, Keefe G A, Rothwell M B, Ketchen M B, Steffen M 2012 arXiv: 1202. 5533v1 [quant-ph]
[44]	Riste D, Leeuwen J, Ku H S, Lehnert K W, DiCarlo L 2012 arXiv:1204. 2479v1 [cond-mat. mes-hall]
[45]	Houck A A, Schuster D I, Gambetta J M, Schreier J A, Johnson B R, Chow J M, Frunzio L, Majer J, Devoret M H, Girvin S M, Schoelkopf R J 2007 Nature 449 328
[46]	Fragner A, Göppl M, Fink J M, Baur M, Bianchetti R, Leek P J, Blais A, Wallraff A 2008 Science 322 1357
[47]	Fink J M, Göppl M, Baur M, Bianchetti R, Leek P J, Blais A, Wallraff A 2008 Nature 454 315
[48]	Johnson B R, Reed M D, Houck A A, Schuster D I, Bishop L S, Ginossar E, Gambetta J M, DiCarlo L, Frunzio L, Girvin S M, Schoelkopf R J 2010 Nat. Phys. 6 663

[1]	Li Jin-Fang, He Dong-Shan, Wang Yi-Ping. Modulation of topological phase transition and topological quantum state of magnon-photon in one-dimensional coupled cavity lattices. Acta Physica Sinica, 2024, 73(4): 044203. doi: 10.7498/aps.73.20231519
[2]	Jiang Da, Yu Dong-Yang, Zheng Zhan, Cao Xiao-Chao, Lin Qiang, Liu Wu-Ming. Research progress of material, physics, and device of topological superconductors for quantum computing. Acta Physica Sinica, 2022, 71(16): 160302. doi: 10.7498/aps.71.20220596
[3]	Wang Mei-Hong, Hao Shu-Hong, Qin Zhong-Zhong, Su Xiao-Long. Research advances in continuous-variable quantum computation and quantum error correction. Acta Physica Sinica, 2022, 71(16): 160305. doi: 10.7498/aps.71.20220635
[4]	Wang Chen-Xu, He Ran, Li Rui-Rui, Chen Yan, Fang Ding, Cui Jin-Ming, Huang Yun-Feng, Li Chuan-Feng, Guo Guang-Can. Advances in the study of ion trap structures in quantum computation and simulation. Acta Physica Sinica, 2022, 71(13): 133701. doi: 10.7498/aps.71.20220224
[5]	Zhou Zong-Quan. “Quantum memory” quantum computers and noiseless phton echoes. Acta Physica Sinica, 2022, 71(7): 070305. doi: 10.7498/aps.71.20212245
[6]	Wang Ning, Wang Bao-Chuan, Guo Guo-Ping. New progress of silicon-based semiconductor quantum computation. Acta Physica Sinica, 2022, 71(23): 230301. doi: 10.7498/aps.71.20221900
[7]	Pei Si-Hui, Song Zi-Xuan, Lin Xing, Fang Wei. Interaction between light and single quantum-emitter in open Fabry-Perot microcavity. Acta Physica Sinica, 2022, 71(6): 060201. doi: 10.7498/aps.71.20211970
[8]	Xu Da, Wang Yi-Pu, Li Tie-Fu, You Jian-Qiang. Coherent coupling in a driven qubit-magnon hybrid quantum system. Acta Physica Sinica, 2022, 71(15): 150302. doi: 10.7498/aps.71.20220260
[9]	Su Fei-Fan, Yang Zhao-Hua, Zhao Shou-Kuan, Yan Hai-Sheng, Tian Ye, Zhao Shi-Ping. Fabrication of superconducting qubits and auxiliary devices with niobium base layer. Acta Physica Sinica, 2022, 71(5): 050303. doi: 10.7498/aps.71.20211865
[10]	Zhang Jie-Yin, Gao Fei, Zhang Jian-Jun. Research progress of silicon and germanium quantum computing materials. Acta Physica Sinica, 2021, 70(21): 217802. doi: 10.7498/aps.70.20211492
[11]	Zhang Shi-Hao, Zhang Xiang-Dong, Li Lü-Zhou. Research progress of measurement-based quantum computation. Acta Physica Sinica, 2021, 70(21): 210301. doi: 10.7498/aps.70.20210923
[12]	He Ying-Ping, Hong Jian-Song, Liu Xiong-Jun. Non-abelian statistics of Majorana modes and the applications to topological quantum computation. Acta Physica Sinica, 2020, 69(11): 110302. doi: 10.7498/aps.69.20200812
[13]	Yu Wan-Rang, Ji Xin. Superadiabatic scheme for fast generating Greenberger-Horne-Zeilinger state of three superconducting qubits. Acta Physica Sinica, 2019, 68(3): 030302. doi: 10.7498/aps.68.20181922
[14]	Fan Heng. Quantum computation and quantum simulation. Acta Physica Sinica, 2018, 67(12): 120301. doi: 10.7498/aps.67.20180710
[15]	Zhao Shi-Ping, Liu Yu-Xi, Zheng Dong-Ning. Novel superconducting qubits and quantum physics. Acta Physica Sinica, 2018, 67(22): 228501. doi: 10.7498/aps.67.20180845
[16]	Wen Rui-Juan, Du Jin-Jin, Li Wen-Fang, Li Gang, Zhang Tian-Cai. Construction of a strongly coupled cavity quantum electrodynamics system with easy accessibility of single or multiple intra-cavity atoms. Acta Physica Sinica, 2014, 63(24): 244203. doi: 10.7498/aps.63.244203
[17]	Lu Dao-Ming. Tripartite entanglement properties of coupled three atoms in cavity quantum electrodynamics. Acta Physica Sinica, 2014, 63(6): 060301. doi: 10.7498/aps.63.060301
[18]	Zhao Hu, Li Tie-Fu, Liu Jian-She, Chen Wei. Progress of electromagnetically induced transparency based on superconducting qubits. Acta Physica Sinica, 2012, 61(15): 154214. doi: 10.7498/aps.61.154214
[19]	Ye Bin, Xu Wen-Bo, Gu Bin-Jie. Robust quantum computation of the quantum kicked Harper model and dissipative decoherence. Acta Physica Sinica, 2008, 57(2): 689-695. doi: 10.7498/aps.57.689
[20]	Ye Bin, Gu Rui-Jun, Xu Wen-Bo. Robust quantum computation of the kicked Harper model and quantum chaos. Acta Physica Sinica, 2007, 56(7): 3709-3718. doi: 10.7498/aps.56.3709

Catalog

Vol. 62, Issue 1 - 2013-01-05

Metrics

Abstract views: 11094
PDF Downloads: 7670
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板