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Implementations of Nonadiabatic Geometric Quantum Computation using NMR

Quantum Physics 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.quant-ph/0207022,
  title  = {Implementations of Nonadiabatic Geometric Quantum Computation using NMR},
  author = {Jiangfeng Du and Mingjun Shi and Jihui Wu and Xianyi Zhou and Rongdian Han},
  journal= {arXiv preprint arXiv:quant-ph/0207022},
  year   = {2007}
}

Comments

4 pages, 3 figures