Abstract One of the key features required to realize fault-tolerant quantum computation is the robustness of quantum gates against errors. Since geometric quantum gate is naturally insensitivity to noise, it appears to be a promising routine to achieve high-fidelity, robust quantum gates. The implementation of geometric quantum gate however faces some troubles such as its complex interaction among multiple energy levels. Moreover, traditional geometric schemes usually take more time than equivalent dynamical ones. Here, we experimentally demonstrate a geometric gate scheme with the time-optimal control (TOC) technique in a superconducting quantum circuit. With a transmon qubit and operations restricted to two computational levels, we implement a set of geometric gates which exhibit better robustness features against control errors than the dynamical counterparts. The measured fidelities of TOC gate and gate are and respectively. Our work shows a promising routine toward scalable fault-tolerant quantum computation.
Fund: Project supported by the Key Research and Development Program of Guangdong Province, China (Grant No. 2018B030326001), the National Natural Science Foundation of China (Grant Nos. 11474152, 12074179, U21A20436, and 61521001), and the Natural Science Foundation of Jiangsu Province, China (Grant No. BE2021015-1).
Corresponding Authors:
Shaoxiong Li, Yang Yu
E-mail: shaoxiong.li@nju.edu.cn;yuyang@nju.edu.cn
Cite this article:
Zhimin Wang(王治旻), Zhuang Ma(马壮), Xiangmin Yu(喻祥敏), Wen Zheng(郑文), Kun Zhou(周坤), Yujia Zhang(张宇佳), Yu Zhang(张钰), Dong Lan(兰栋), Jie Zhao(赵杰), Xinsheng Tan(谭新生), Shaoxiong Li(李邵雄), and Yang Yu(于扬) Realization of high-fidelity and robust geometric gates with time-optimal control technique in superconducting quantum circuit 2023 Chin. Phys. B 32 100304
[1] Nielsen M A and Chuang I L 2010 Quantum Computation and Quantum Information: 10th Anniversary Edition (Cambridge University Press) [2] Jones J, Hansen R and Mosca M 1998 Journal of Magnetic Resonance135 353 [3] Cirac J I and Zoller P 1995 Phys. Rev. Lett.74 4091 [4] Yoneda J, Takeda K, Otsuka T, Nakajima T, Delbecq M R, Allison G, Honda T, Kodera T, Oda S, Hoshi Y, Usami N, Itoh K M and Tarucha S 2018 Nat. Nanotechnol.13 102 [5] Nakamura Y, Pashkin Y A and Tsai J S 1999 Nature398 786 [6] Barends R, Kelly J, Megrant A, et al. 2014 Nature508 500 [7] Neill C, Roushan P, Kechedzhi K, et al. 2018 Science360 195 [8] Reagor M, Osborn C B, Tezak N, et al. 2018 Sci. Adv.4 eaao3603 [9] Arute F, Arya K, Babbush R, et al. 2019 Nature574 505 [10] Wu Y, Bao W S, Cao S, et al. 2021 Phys. Rev. Lett.127 180501 [11] Zanardi P and Rasetti M 1999 Phys. Lett. A264 94 [12] Pachos J, Zanardi P and Rasetti M 1999 Phys. Rev. A61 010305 [13] Duan L M, Cirac J I and Zoller P 2001 Science292 1695 [14] Wang X B and Keiji M 2001 Phys. Rev. Lett. 87 097901 [15] Zhu S L and Wang Z D 2002 Phys. Rev. Lett.89 097902 [16] Zhu S L and Wang Z D 2003 Phys. Rev. Lett.91 187902 [17] Zhao P Z, Cui X D, Xu G F, Sjöqvist E and Tong D M 2017 Phys. Rev. A96 052316 [18] Chen T and Xue Z Y 2018 Phys. Rev. Appl.10 054051 [19] Sjöqvist E, Tong D M, Andersson L M, Hessmo B, Johansson M and Singh K 2012 New J. Phys.14 103035 [20] Xu G F, Zhang J, Tong D M, Sjöqvist E and Kwek L C 2012 Phys. Rev. Lett.109 170501 [21] Liu B J, Song X K, Xue Z Y, Wang X and Yung M H 2019 Phys. Rev. Lett.123 100501 [22] Chen T and Xue Z Y 2020 Phys. Rev. Appl.14 064009 [23] Carlini A, Hosoya A, Koike T and Okudaira Y 2007 Phys. Rev. A75 042308 [24] Abad T, Fernández-Pendás J, Frisk Kockum A and Johansson G 2022 Phys. Rev. Lett.129 150504 [25] Magesan E, Gambetta J M, Johnson B R, Ryan C A, Chow J M, Merkel S T, da Silva M P, Keefe G A, Rothwell M B, Ohki T A, Ketchen M B and Steffen M 2012 Phys. Rev. Lett.109 080505 [26] Chuang I L and Nielsen M A 1997 J. Mod. Opt.44 2455 [27] Shukla A, Sisodia M and Pathak A 2020 Phys. Lett. A 384 126387
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
