Non-Abelian holonomic transformation in the presence of classical noise

Jun Jing, Chi Hang Lam, Lian Ao Wu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

29 Citations (Scopus)


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.
Original languageEnglish
Article number012334
JournalPhysical Review A
Issue number1
Publication statusPublished - 27 Jan 2017

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


Dive into the research topics of 'Non-Abelian holonomic transformation in the presence of classical noise'. Together they form a unique fingerprint.

Cite this