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Title: Non-Abelian holonomic transformation in the presence of classical noise
Authors: Jing, J 
Lam, CH 
Wu, LA
Issue Date: 2017
Publisher: American Physical Society
Source: Physical review. A, Atomic, molecular, and optical physics, 2017, v. 95, no. 1, 12334 How to cite?
Journal: Physical review. A, Atomic, molecular, and optical physics 
Abstract: 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.
ISSN: 1050-2947
EISSN: 1094-1622
DOI: 10.1103/PhysRevA.95.012334
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