论文标题

可变旋转的窄带和通过带复合脉冲

Narrowband and passband composite pulses for variable rotations

论文作者

Torosov, Boyan T., Ivanov, Svetoslav S., Vitanov, Nikolay V.

论文摘要

我们开发了一种系统的方法来得出窄带(NB)和Passband(PB)复合序列,该序列可以以任何所需的精度产生任何预选的过渡概率。 NB复合脉冲是通过连续取消传播剂中的衍生术语来得出的。 PB脉冲是通过结合两个半$π$ nb脉冲来构建的。 NB和PB脉冲都在目标过渡概率周围的中央区域两侧都具有消失的翅膀,并且PB脉冲在目标概率周围还提供了一个平坦的(宽带)顶部。 NB序列特别适用于感应和计量应用,而在紧密间隔的Qubits的情况下,PB序列对于量子控制非常有用,因为它们可以确保选择性(与邻居抑制交叉抑制)和鲁棒性(抑制激光指向的不稳定性)。其他可能的应用程序包括选择性(NB),或选择性和鲁棒(PB),控制频率空间中的近距离过渡。

We develop a systematic approach to derive narrowband (NB) and passband (PB) composite sequences which can produce any pre-selected transition probability with any desired accuracy. The NB composite pulses are derived by successive cancellation of derivative terms in the propagator. The PB pulses are built by combining two half-$π$ NB pulses. Both the NB and PB pulses feature vanishing wings on both sides of the central region around the target transition probability, and the PB pulses offer also a flat (broadband) top around the target probability. The NB sequences are particularly suitable for sensing and metrology applications, while the PB sequences can be very useful for qubit control in the case of tightly spaced qubits for they ensure both selectivity (suppressed cross talk to neighbors) and robustness (suppressed laser pointing instability). Other possible applications include selective (NB), or both selective and robust (PB), control of close transitions in frequency space.

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