Implementations of Nonadiabatic Geometric Quantum Computation using NMR

摘要

Recently, geometric phases, which is fault tolerate to certain errorsintrinsically due to its geometric property, are getting considerable attentionin quantum computing theoretically. So far, only one experiment about adiabaticgeometric gate with NMR through Berry phase has been reported. However, thereare two drawbacks in it. First, the adiabatic condition of Berry phase makessuch gate very slowly. Second, the extra operation to eliminate the dynamicphase. As we know, geometric phase can exist both adiabatic(Berry phase) andnonadiabatic(Aharonov-Anandan phase). In this letter, we reports the firstexperimental realization of nonadiabatic geometric gate with NMR throughconditional-AA phase. In our experiment the gates can be made faster and moreeasily, and the two drawbacks mentioned above are removed.