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arXiv 1010.5986quant-ph
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脉冲训练驱动Rabi振荡的全量子处理及其在离子阱量子计算中的应用

Full quantum treatment of Rabi oscillation driven by a pulse train and its application in ion-trap quantum computation

Li Yang, Biyao Yang, Yufu Chen

摘要:

脉冲训练驱动下二能级系统的拉比振荡是量子计算中的一个基本过程。我们对该过程进行了完整的量子处理,并表明该过程的粒子数反转呈指数级崩溃,没有复兴现象,并且在每个周期都具有双脉冲结构。作为应用,我们研究了该过程在离子阱量子计算中的性质。我们发现,在Cirac-Zoller计算方案中,当驱动场的波长为$10^{-6}$ m量级时,在大约$10^2$控制非门之后,失效概率的下界为$10^{-2}$量级.该值近似等于容错量子计算中普遍接受的阈值。

英文摘要:

Rabi oscillation of a two-level system driven by a pulse train is a basic process involved in quantum computation. We present a full quantum treatment of this process and show that the population inversion of this process collapses exponentially, has no revival phenomenon, and has a dual-pulse structure in every period. As an application, we investigate the properties of this process in ion-trap quantum computation. We find that in the Cirac--Zoller computation scheme, when the wavelength of the driving field is of the order $10^{-6}$ m, the lower bound of failure probability is of the order $10^{-2}$ after about $10^2$ controlled-NOT gates. This value is approximately equal to the generally-accepted threshold in fault-tolerant quantum computation.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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