GENERAL |
|
|
|
|
Nonadiabatic Holonomic Quantum Computation Based on Rydberg Ground State Blockade |
Shi-Lei Su, Chen Wang, P.-Y. Song, and Gang Chen* |
School of Physics, Zhengzhou University, Zhengzhou 450001, China |
|
Cite this article: |
Shi-Lei Su, Chen Wang, P.-Y. Song et al 2024 Chin. Phys. Lett. 41 040302 |
|
|
Abstract Quantum gates are crucial for quantum computation and quantum information processing. However, their effectiveness is often hindered by systematic errors and decoherence. Therefore, achieving resilient quantum gates to these factors is of great significance. We present a method to construct nonadiabatic holonomic single- and two-qubit gates in a Rydberg ground-state-blockade regime. Our approach utilizes a far-off-resonant technique for the single-qubit gate and a modified Rydberg antiblockade for the two-qubit gate. The reduction of the population of single- and two-excitation Rydberg states and the nonadiabatic holonomic process during the construction of the gates ensure robustness to decoherence and systematic errors, respectively. Numerical results demonstrate the fidelity and robustness of our scheme. The proposed scheme holds promise for future applications in quantum computation and quantum information processing tasks.
|
|
Received: 02 January 2024
Editors' Suggestion
Published: 22 April 2024
|
|
|
|
|
|
[1] | Gallagher T F 1984 Rydberg Atoms (Cambridge: Cambridge University Press) |
[2] | Saffman M, Walker T G, and Mølmer K 2010 Rev. Mod. Phys. 82 2313 |
[3] | Saffman M 2016 J. Phys. B 49 202001 |
[4] | Shi X F 2022 Quantum Sci. Technol. 7 023002 |
[5] | Urban E, Johnson T A, Henage T, Isenhower L, Yavuz D D, Walker T G, and Saffman M 2009 Nat. Phys. 5 110 |
[6] | Jaksch D, Cirac J I, Zoller P, Rolston S L, Côté R, and Lukin M D 2000 Phys. Rev. Lett. 85 2208 |
[7] | Shi X F 2018 Phys. Rev. Appl. 10 034006 |
[8] | Shi X F and Kennedy T A B 2017 Phys. Rev. A 95 043429 |
[9] | Gaëtan A, Miroshnychenko Y, Wilk T, Chotia A, Viteau M, Comparat D, Pillet P, Browaeys A, and Grangier P 2009 Nat. Phys. 5 115 |
[10] | Shao X Q, Li D X, Ji Y Q, Wu J H, and Yi X X 2017 Phys. Rev. A 96 012328 |
[11] | Liu Y Y, Sun Y, Fu Z, Xu P, Wang X, He X D, Wang J, and Zhan M S 2021 Phys. Rev. Appl. 15 054020 |
[12] | Shi X F 2019 Phys. Rev. Appl. 11 044035 |
[13] | Liu B J, Su S L, and Yung M H 2020 Phys. Rev. Res. 2 043130 |
[14] | Wu J L, Wang Y, Han J X, Su S L, Xia Y, Jiang Y, and Song J 2021 Front. Phys. 17 22501 |
[15] | Shi X F 2017 Phys. Rev. Appl. 7 064017 |
[16] | Zhao P Z, Cui X D, Xu G F, Sjöqvist E, and Tong D M 2017 Phys. Rev. A 96 052316 |
[17] | Zheng R H, Su S L, Song J, Li W, and Xia Y 2017 Phys. Rev. A 108 042405 |
[18] | Ates C, Pohl T, Pattard T, and Rost J M 2007 Phys. Rev. Lett. 98 023002 |
[19] | Su S L, Tian Y Z, Shen H Z, Zang H P, Liang E J, and Zhang S 2017 Phys. Rev. A 96 042335 |
[20] | Su S L, Gao Y, Liang E, and Zhang S 2017 Phys. Rev. A 95 022319 |
[21] | Wu J L, Wang Y, Han J X, Jiang Y, Song J, Xia Y, Su S L, and Li W 2021 Phys. Rev. Appl. 16 064031 |
[22] | Su S L, Shen H Z, Liang E, and Zhang S 2018 Phys. Rev. A 98 032306 |
[23] | Su S L, Guo F Q, Tian L, Zhu X Y, Yan L L, Liang E J, and Feng M 2020 Phys. Rev. A 101 012347 |
[24] | Bouchoule I and Mølmer K 2002 Phys. Rev. A 65 041803 |
[25] | Pupillo G, Micheli A, Boninsegni M, Lesanovsky I, and Zoller P 2010 Phys. Rev. Lett. 104 223002 |
[26] | Li D X and Shao X Q 2018 Phys. Rev. A 98 062338 |
[27] | Yin H D and Shao X Q 2021 Opt. Lett. 46 2541 |
[28] | Shao X Q 2020 Phys. Rev. A 102 053118 |
[29] | Bluvstein D, Evered S J, Geim A A et al. 2023 Nature 626 58 |
[30] | Evered S J, Bluvstein D, Kalinowski M et al. 2023 Nature 622 268 |
[31] | Berry M V 1984 Proc. R. Soc. London Ser. A 392 45 |
[32] | Wilczek F and Zee A 1984 Phys. Rev. Lett. 52 2111 ==> |
[33] | Zhang J, Kyaw T H, Filipp S, Kwek L C, Sjöqvist E, and Tong D M 2023 Phys. Rep. 1027 1 |
[34] | Guo A L, Tu T, Zhu L T, and Li C F 2021 Chin. Phys. Lett. 38 094203 |
[35] | Liu L J, Liu Y Z, and Tong D M 2009 Chin. Phys. Lett. 26 030302 |
[36] | Jones J A, Vedral V, Ekert A, and Castagnoli G 2000 Nature 403 869 |
[37] | Zanardi P and Rasetti M 1999 Phys. Lett. A 264 94 |
[38] | Duan L M, Cirac J I, and Zoller P 2001 Science 292 1695 |
[39] | Tong D M 2010 Phys. Rev. Lett. 104 120401 |
[40] | Aharonov Y and Anandan J 1987 Phys. Rev. Lett. 58 1593 |
[41] | Wang X B and Matsumoto K J 2001 Phys. Rev. Lett. 87 097901 |
[42] | Zhu S L and Wang Z D 2002 Phys. Rev. Lett. 89 097902 |
[43] | Anandan J 1988 Phys. Lett. A 133 171 |
[44] | Xu G F, Zhang J, Tong D M, Sjöqvist E, and Kwek L C 2012 Phys. Rev. Lett. 109 170501 |
[45] | Sjöqvist E, Tong D M, Andersson L M, Hessmo B, Johansson M, and Singh K 2012 New J. Phys. 14 103035 |
[46] | Liu B J, Yan L L, Zhang Y, Yung M H, Su S L, and Shan C X 2023 Phys. Rev. Res. 5 013059 |
[47] | Zhou H, Li Z K, Wang H Y, Chen H W, Peng X H, and Du J F 2016 Chin. Phys. Lett. 33 060301 |
[48] | Jau Y Y, Hankin A M, Keating T, Deutsch I H, and Biedermann G W 2016 Nat. Phys. 12 71 |
[49] | Xu J Z, Sun L N, Wei J F, Du Y L, Luo R H, Yan L L, Feng M, and Su S L 2022 Chin. Phys. Lett. 39 090301 |
[50] | Zhao Y J, Liu B, Ji Y Q, Tang S Q, and Shao X Q 2017 Sci. Rep. 7 16489 |
[51] | James D F and Jerke J 2007 Can. J. Phys. 85 625 |
[52] | Vepsäläinen A, Danilin S, and Paraoanu G S 2018 Quantum Sci. Technol. 3 024006 |
[53] | Vepsäläinen A, Danilin S, and Paraoanu G S 2019 Sci. Adv. 5 eaau5999 |
[54] | Su S L, Liang E, Zhang S, Wen J J, Sun L L, Jin Z, and Zhu A D 2016 Phys. Rev. A 93 012306 |
[55] | Wang C, Han J X, Wu J L, Wang Y, Jiang Y, Xia Y, and Song J 2020 Laser Phys. 30 045201 |
[56] | Han J X, Wu J L, Wang Y, Jiang Y Y, Xia Y, and Song J 2020 Opt. Express 28 1954 |
[57] | Robertson E J, Šibalić N, Potvliege R M, and Jones M P A 2021 Comput. Phys. Commun. 261 107814 |
[58] | Herterich E and Sjöqvist E 2016 Phys. Rev. A 94 052310 |
[59] | Liu B J, Song X K, Xue Z Y, Wang X, and Yung M H 2019 Phys. Rev. Lett. 123 100501 |
[60] | Li M, Guo F Q, Jin Z, Yan L L, Liang E J, and Su S L 2021 Phys. Rev. A 103 062607 |
[61] | Liu B J, Xue Z Y, and Yung M H 2020 arXiv:2001.05182 [quant-ph] |
[62] | Wei J F, Guo F Q, Wang D Y, Jia Y, Yan L L, Feng M, and Su S L 2022 Phys. Rev. A 105 042404 |
[63] | Sun L N, Yan L L, Su S L, and Jia Y 2021 Phys. Rev. Appl. 16 064040 |
[64] | Dong Y, Feng C, Zheng Y, Chen X D, Guo G C, and Sun F W 2021 Phys. Rev. Res. 3 043177 |
[65] | Fu Z, Xu P, Sun Y, Liu Y Y, He X D, Li X, Liu M, Li R B, Wang J, Liu L, and Zhan M S 2022 Phys. Rev. A 105 042430 |
[66] | Su S L and Li W B 2021 Phys. Rev. A 104 033716 |
[67] | Zhu S L and Zanardi P 2005 Phys. Rev. A 72 020301 |
[68] | Li X X, You J B, Shao X Q, and Li W B 2022 Phys. Rev. A 105 032417 |
[69] | Tamura H, Yamakoshi T, and Nakagawa K 2020 Phys. Rev. A 101 043421 |
[70] | Madjarov I S, Covey J P, Shaw A L, Choi J, Kale A, Cooper A, Pichler H, Schkolnik V, Williams J R, and Endres M 2020 Nat. Phys. 16 857 |
[71] | Li X X, Shao X Q, and Li W B 2022 Phys. Rev. Appl. 18 044042 |
[72] | de Léséleuc S, Barredo D, Lienhard V, Browaeys A, and Lahaye T 2018 Phys. Rev. A 97 053803 |
[73] | Lee W, Kim M, Jo H, Song Y, and Ahn J 2019 Phys. Rev. A 99 043404 |
[74] | Shi X F 2020 Phys. Rev. Appl. 13 024008 |
[75] | Wang Y M, Su Y, Chen X, and Wu C F 2020 Phys. Rev. Appl. 14 044043 |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|