Ultrafast Holonomic Quantum Gates

Pu Shen, Tao Chen, and Zheng-Yuan Xue
Phys. Rev. Applied 16, 044004 – Published 5 October 2021

Abstract

Quantum computation based on geometric phase is generally believed to be more robust against certain errors or noises than the conventional dynamical strategy. However, the gate error caused by the decoherence effect is inevitable, and thus faster gate operations are highly desired. Here, we propose a nonadiabatic holonomic quantum-computation (NHQC) scheme with detuned interactions on a Δ-type three-level system, which combines the time-optimal control technique with the time-independent detuning adjustment to further accelerate universal gate operations, so that the gate time can be greatly shortened within the hardware limitation, and thus high-fidelity gates can be obtained. Meanwhile, our numerical simulations show that the gate robustness is also stronger than previous schemes. Finally, we present an implementation of our proposal on superconducting quantum circuits, with a decoherence-free subspace encoding, based on the experimentally demonstrated parametrically tunable coupling technique, which simplifies previous investigations. Therefore, our protocol provides a more promising alternative for future fault-tolerant quantum computation.

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  • Received 1 April 2021
  • Revised 5 August 2021
  • Accepted 8 September 2021

DOI:https://doi.org/10.1103/PhysRevApplied.16.044004

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Pu Shen1, Tao Chen1, and Zheng-Yuan Xue1,2,*

  • 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

  • *zyxue83@163.com

See Also

Dynamically Corrected Nonadiabatic Holonomic Quantum Gates

Sai Li and Zheng-Yuan Xue
Phys. Rev. Applied 16, 044005 (2021)

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Vol. 16, Iss. 4 — October 2021

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