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arXiv 1306.0175quant-ph
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操纵核自旋态的调制算法

Modulation Algorithms for Manipulating Nuclear Spin States

Boyang Liu, Ming Zhang, Hong-Yi Dai

摘要:

从理论上研究了精确频率调制对核自旋态跃迁时间的影响。1-针对单级和三级幅度相位调制(APM)算法,提出了两级和二级频率幅度相位调制(FAPM)算法。进一步给出了这四种调制算法在规定时间内跃迁核自旋态的充分条件。它表明,过渡时间的性能可以显着改善,如果精确的频率调制是可用的。举例说明,有频率调制的过渡时间尺度约为没有频率调制的过渡时间尺度的1/4。研究还表明,一级FAPM和APM算法的混合方案优于所有四种调制算法。同时提出了一种简化的混合调制算法,以减少计算量。

英文摘要:

We exploit the impact of exact frequency modulation on transition time of steering nuclear spin states from theoretical point of view. 1-stage and 2-stage Frequency-Amplitude-Phase modulation (FAPM) algorithms are proposed in contrast with 1-stage and 3-stage Amplitude-Phase modulation (APM) algorithms. The sufficient conditions are further present for transiting nuclear spin states within the specified time by these four modulation algorithms. It is demonstrated that transition time performance can be significantly improved if exact frequency modulation is available. It is exemplified that the transition time scale with frequency modulation is about 1/4 of that without frequency modulation. It is also revealed in this research that the hybrid scheme of 1-stage FAPM and APM algorithms is better than all the four modulation algorithms. A simplified hybrid modulation algorithm is also proposed to reduce computational burden.

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