Observation of Geometric Phases for Three-Level Systems using NMR Interferometry

Hongwei Chen; Mingguang Hu; Jingling Chen; Jiangfeng Du

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Observation of Geometric Phases for Three-Level Systems using NMR Interferometry

Hongwei Chen 1,Mingguang Hu 2,Jingling Chen 2,Jiangfeng Du 1 * #

1.Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics

2.Theoretical Physics Division, Chern Institute of Mathematics, Nankai University

*Correspondence author

#Submitted by

Subject:

Funding: 教育部博士点基金,国家自然科学基金（No.20050358046,）

Opened online:21 January 2009

Accepted by: none

Citation: Hongwei Chen,Mingguang Hu,Jingling Chen.Observation of Geometric Phases for Three-Level Systems using NMR Interferometry[OL]. [21 January 2009] http://en.paper.edu.cn/en_releasepaper/content/28168

Geometric phase independent of energy and time rely only on the geometry of state space. It has been argued to have potential fault tolerance and plays an important role in quantum information and quantum computation. We present the first experiment for producing and measuring an abelian geometric phase shift in a three-level system by using NMR interferometry. In contrast to existing experiments, based on the geometry in evolving space, our experiment concerns the geometric phase associated with SU(3)/U(2) geometry. It also provides a realistic candidate for designing more complex geometric quantum circuits。

Keywords:quantum information;NMR;geometric phase

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