Searching nonadiabatic holonomic quantum gates via an optimization algorithm

Feihao Zhang, Jiang Zhang, Pan Gao, and Guilu Long
Phys. Rev. A 100, 012329 – Published 18 July 2019

Abstract

Nonadiabatic holonomic quantum computation (NHQC) offers a way to realize geometric quantum gates beyond the adiabatic regime. To extend the flexibility and control robustness, many NHQC schemes have been proposed. Here, we propose to use quantum optimal control theory to search control sequences that can realize holonomic gates. Given a target gate and the corresponding computational subspace, our optimization algorithm can find the control sequence automatically. Furthermore, by defining an averaged target function, our method can improve the robustness of the holonomic gates against the errors such as thermal noises and amplitude errors. As an application, we search the control sequences for the Hadamard, not, and cnot gates in a nitrogen-vacancy-center system.

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  • Received 17 February 2019
  • Revised 8 May 2019

DOI:https://doi.org/10.1103/PhysRevA.100.012329

©2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Feihao Zhang1, Jiang Zhang1,2, Pan Gao1, and Guilu Long1,3,4,5,2,*

  • 1State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China
  • 2Beijing Academy of Quantum Information, Beijing 100085, China
  • 3Beijing National Research Center on Information Science and Technology, Beijing 100084, China
  • 4School of Information Science and Technology, Tsinghua University, Beijing 100084, China
  • 5Innovation Center of Quantum Matter, Beijing 100084, China

  • *gllong@mail.tsinghua.edu.cn

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Vol. 100, Iss. 1 — July 2019

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