Super-robust nonadiabatic geometric quantum control

2020/08/31 by Bao-Jie Liu, Yuan-Sheng Wang, Man-Hong Yung +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computation #Computer science #Holonomic #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum algorithm #Quantum and electron transport phenomena #Quantum computer #Quantum error correction #Quantum gate #Quantum mechanics #Qubit #Robustness (evolution) #Topology (electrical circuits) #quant-ph

paper · pdf · doi:10.1103/physrevresearch.3.l032066

published as Phys. Rev. Research 3, 032066 (2021) · Main: 5 pages, 3 figures. Supplementary: 2 pages. Published in Physical Review Research as a Letter

arxiv created 2021/09/16 · openalex publication_date 2021/09/16 · arxiv updated 2021/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Nonadiabatic geometric quantum computation (NGQC) and nonadiabatic holonomic quantum computation (NHQC) have been proposed to reduce the run time of geometric quantum gates. However, in terms of robustness against experimental control errors, the existing NGQC and NHQC scenarios have no advantage over standard dynamical gates in most cases. Here, we give the reasons why nonadiabatic geometric gates are sensitive to the control errors and, further, we propose a scheme of super-robust nonadiabatic geometric quantum control, in which the super-robust condition can guarantee both high speed and robustness of the geometric gate. To illustrate the working mechanism of super-robust geometric quantum gates, we give two simple examples of SR-NGQC and SR-NHQC for two-and three-level quantum systems, respectively. Theoretical and numerical results with the experimental parameters indicate that our scheme can significantly improve the gate performance compared to the previous NGQC, NHQC, and standard dynamical schemes. Super-robust geometric quantum computation can be applied to various physical platforms such as superconducting qubits, quantum dots, and trapped ions. All of these sufficiently show that our scheme provides a promising way towards robust geometric quantum computation.

Citations

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Cited by

• Multiobjective Optimization for Robust Holonomic Quantum Gates