[1] Arute F, Arya K, Babbush R, Bacon D, Bardin J C, Barends R, Biswas R, Boixo S, Brandao F G S L and Martinis J M 2019 Nature 574 505 [2] Krantz P, Kjaergaard M, Yan F, Orlando T P, Gustavsson S and Oliver W D 2019 Appl. Phys. Rev. 6 021318 [3] Devoret M H and Schoelkopf R J 2013 Science 339 1169 [4] Wendin G and Shumeiko V S 2006 Handbook of Theoretical and Computational Nanotechnology (Rieth M and Schommers W, Ed.) (California: American Scientific Publishers) [5] Clarke J and Wilhelm F K 2008 Nature 453 1031 [6] Makhlin Y, Schon G and Shnirman A 2001 Rev. Mod. Phys. 73 357 [7] Georgescu I M, Ashhab S and Nori F 2014 Rev. Mod. Phys. 86 153 [8] Cirac J I and Zoller P 2012 Nat. Phys. 8 264 [9] Blais A, Huang R, Wallraff A, Girvin S M and Schoelkopf R J 2004 Phys. Rev. A 69 062320 [10] Koch J, Yu T, 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 [11] Liu W Y, Zheng D N and Zhao S P 2018 Chin. Phys. B 27 027401 [12] Josephine B C, Michael R V, Antonio D C, Martin S, Gao J, David W A, Jerry M C, Jay M G, Mary B R, George A K, Matthias S and David P P 2011 Appl. Phys. Lett. 103 012602 [13] Calusine G, Melville A, Woods W, Das R, Stull C, Bolkhovsky V, Braje D, Hover D, Kim D K, Miloshi X, Rosenberg D, Sevi A, Yoder J L, Dauler E and Oliver W D 2018 Appl. Phys. Lett. 112 062601 [14] Liu Q, Xue G M, Tan X S, Yu H F and Yu Y 2017 Chin. Phys. B 26 058402 [15] Foxen B 2018 Quantum. Sci. Technol. 3 014005 [16] Su F F, Wang Z T, Xu H K, Zhao S K, Yan H S, Yang Z H, Tian Ye and Zhao S P 2019 Chin. Phys. B 28 110303 [17] Chen Z, Megrant A, Kelly J, Barends R, Bochmann J, Chen Yu, Chiar B, Dunsworth A, Jeffrey E, Mutus J Y, Malley P J J, Neill C, Roushan P, Sank D, Vainsencher A, Wenner J, White T C, Cleland A N and Martinis J M 2014 Appl. Phys. Lett. 104 052602 [18] Jin Z C, Wu H T, Yu H F and Yu Y 2018 Chin. Phys. B 27 100310 [19] Ponchak G E, Papapolymerou J and Tentzeris M M 2005 IEEE Trans. Microwave Theory Techniq. 53 713 [20] Liaw H J and Merkelo H 1997 IEEE Circ. Dev. Mag. 13 22 [21] Schuster C and Fichtner W 2001 IEEE Trans. Electromagn. Compat. 43 416 [22] Megrant A, Neill C, Barends R, Chiaro B, Chen Yu, Feigl L, Kelly J, Lucero E, Mariantoni M, Malley P J J, Sank D, Vainsencher A, Wenner J, White T C, Yin Y, Zhao J, Palmstrm C J, Martinis J M and Cleland A N 2012 Appl. Phys. Lett. 100 113510 [23] Su F F, Yang Z H, Tian Y and Zhao S P Chinese Invention Patent 2020110193710.0 [2021-04-15] (in Chinese) [24] Airbridges are fabricated on sample Ⅲ, which does not show difference compared to samples I and Ⅱ in the coherence time measurements. [25] Suri B 2015 Transmon qubits coupled to superconducting lumped element resonators (University of California, Santa Barbara) [26] Bylander J, Gustavsson S, Yan F, Yoshihara F, Harrabi K, Fitch G, Cory D G, Nakamura Y, Tsai J S and Oliver W D 2011 Nat. Phys. 7 565 [27] Mao B 2010 Coherent Manipulation of Multi-Partite Quantum States in a Qubit-TLS System via Landau-Zener Transition (Ph.D Dissertation) (Lawrence: University of Kansas) [28] Chow J M, Gambetta J M, Tornberg L, Koch J, Bishop L S, Houck A A, Johnson B R, Frunzio L, Girvin S M and Schoelkopf R J 2009 Phys. Rev. Lett. 102 090502 [29] Magesan E, Gambetta J M and Emerson J 2011 Phys. Rev. Lett. 106 180504 [30] Steffen M, Ansmann M, Bialczak R C, Katz N, Lucero E, McDermott R, Neeley M, Weig E M, Cleland A N and Martinis J M 2006 Science 313 1423 [31] 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 and Schoelkopf R J 2007 Nature 449 443 [32] Houck A A, Schreier J A, Johnson B R, Chow J M, Koch J, Gambetta J M, Schuster D I, Frunzio L, Devoret M H, Girvin S M and Schoelkopf R J 2008 Phys. Rev. Lett. 101 080502 [33] Place P M, Rodgers V H, Mundada P, Smitham M, Fitzpatrick M, Leng Z Q, Premkumar A, Bryon J, Sussman S, Cheng G M, Madhavan T, Babla H K, Jack B, Gyenis A, Yao N, Cava R J and Houck A A 2020 arXiv:2003.03307v1 [quant-ph] [34] Gambetta J M, Murray C E, Fung Y K K, McClure D T, Dial O, Shanks W, Sleight J and Steffen M 2017 IEEE Trans. Appl. Supercond. 27 1 [35] Wang H, Hofheinz M, Wenner J, Ansmann M, Bialczak R C, Lenander M, Lucero Erik, Neeley M, Connell A D, Sank D, Weides M, Cleland A N and Martinis J M 2009 Appl. Phys. Lett. 95 233508 [36] Blok M S, Ramasesh V V, Schuster T, Brien K, Kreikebaum J M, Dahlen D, Morvan A, Yoshida B, Yao N and Siddiqi I 2020 arXiv:2003.03307v1 [quant-ph] [37] Geerlings K, Shankar S, Edwards E, Frunzio L, Schoelkopf R J and Devoret M H 2012 Appl. Phys. Lett. 100 192601 [38] Sage J M, Bolkhovsky V, Oliver W D, Turek B and Welander P B 2011 J. Appl. Phys. 109 063915 [39] Bilmes A, Neumann A K, Volosheniuk S, Ustinov A V and Lisenfeld J 2021 arXiv:2101.01453v2 [quant-ph] |