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Implementations of Nonadiabatic Geometric Quantum Computation using NMR

2002/07/03 by Jiangfeng Du, Mingjun Shi, Du, Jiangfeng +7
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #Molecular spectroscopy and chirality #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0207022

4 pages, 3 figures

arxiv created 2002/07/03 · openalex publication_date 2002/07/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, geometric phases, which is fault tolerate to certain errors intrinsically due to its geometric property, are getting considerable attention in quantum computing theoretically. So far, only one experiment about adiabatic geometric gate with NMR through Berry phase has been reported. However, there are two drawbacks in it. First, the adiabatic condition of Berry phase makes such gate very slowly. Second, the extra operation to eliminate the dynamic phase. As we know, geometric phase can exist both adiabatic(Berry phase) and nonadiabatic(Aharonov-Anandan phase). In this letter, we reports the first experimental realization of nonadiabatic geometric gate with NMR through conditional-AA phase. In our experiment the gates can be made faster and more easily, and the two drawbacks mentioned above are removed.

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