Robust nonadiabatic geometric quantum computation by dynamical correction

Ming-Jie Liang and Zheng-Yuan Xue
Phys. Rev. A 106, 012603 – Published 6 July 2022

Abstract

Besides the intrinsic noise resilience property, nonadiabatic geometric phases are of the fast evolution nature, and thus can naturally be used in constructing quantum gates with excellent performance, i.e., the so-called nonadiabatic geometric quantum computation (NGQC). However, previous single-loop NGQC schemes are sensitive to the operational control error, i.e., the X error, due to the limitations of the implementation. Here, we propose a robust scheme for NGQC combining with the dynamical correction technique, which still uses only simplified pulses, and thus being experimental friendly. We numerically show that our scheme can greatly improve the gate robustness in previous protocols, retaining the intrinsic merit of geometric phases. Furthermore, to fight against the dephasing noise, due to the Z error, we can incorporate the decoherence-free subspace encoding strategy. In this way, our scheme can be robust against both types of errors. Finally, we also propose how to implement the scheme with encoding on superconducting quantum circuits with experimentally demonstrated technology. Therefore, due to the intrinsic robustness, our scheme provides a promising alternation for the future scalable fault-tolerant quantum computation.

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  • Received 24 April 2022
  • Accepted 21 June 2022

DOI:https://doi.org/10.1103/PhysRevA.106.012603

©2022 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Ming-Jie Liang1 and Zheng-Yuan Xue1,2,3,*

  • 1Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, and School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510006, China
  • 2Guangdong-Hong Kong Joint Laboratory of Quantum Matter and Frontier Research Institute for Physics, South China Normal University, Guangzhou 510006, China
  • 3Guangdong Provincial Key Laboratory of Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China

  • *zyxue83@163.com

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Vol. 106, Iss. 1 — July 2022

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