2017/01/27 by Jun Jing, Chi‐Hang Lam, Chi-Hang Lam +1 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Degenerate energy levels #Holonomic #Mathematics #Noise (video) #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum error correction #Quantum gate #Quantum mechanics #Quantum optics and atomic interactions #Qubit #Qutrit #Topology (electrical circuits) #Transformation (genetics) #quant-ph
paper · pdf · doi:10.1103/physreva.95.012334
published as Physical Review A 95, 012334 (2017) · 7 pages, 3 figures
openalex publication_date 2017/01/27 · arxiv created 2017/01/28 · arxiv updated 2017/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
It is proposed that high-speed universal quantum gates can be realized by using non-Abelian holonomic transformation. A cyclic evolution path which brings the system periodically back to a degenerate qubit subspace is crucial to holonomic quantum computing. The cyclic nature and the resulting gate operations are fully dependent on the precise control of driving parameters, such as the modulated envelop function of Rabi frequency and the control phases. We investigate the effects of fluctuations in these driving parameters on the transformation fidelity of a universal set of single-qubit quantum gates. We compare the damage effects from different noise sources and determine the ``sweet spots'' in the driving parameter space. The nonadiabatic non-Abelian quantum gate is found to be more susceptible to classical noises on the envelop function than that on the control phases. We also extend our study to a two-qubit quantum gate.