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arXiv 1102.0088quant-ph
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自旋1/2的时间最优旋转:应用于菱形中的NV中心自旋

Time-optimal rotation of a spin 1/2: application to the NV center spin in diamond

Zhi-Hui Wang, V. V. Dobrovitski

摘要:

研究了自旋为1/2 [U]的时间最优Bang-Bang控制的适用性。Boscain和P. Mason,J. Math. Phys.{ \bf 47},062101(2006)]中的方法来旋转金刚石中的氮空位(NV)中心的电子自旋。NV中心的自旋是一个三能级系统,其中两个能级形成一个相关的量子比特子空间,时变磁控制场在其中执行旋转,第三个能级是空闲的。我们发现,bang-bang控制协议减少了20- 25%的旋转时间相比,传统的振荡正弦驱动。我们还发现,对于大多数值的偏置场的泄漏到空闲电平是非常小的,所以NV中心是一个合适的测试平台的时间最优协议的实验研究。然而,对于偏置场的某些特定值,不希望的泄漏大大增加。我们证明,这是由共振与高次傅立叶谐波的bang-bang驱动场。

英文摘要:

We study the applicability of the time optimal bang-bang control designed for spin-1/2 [U. Boscain and P. Mason, J. Math. Phys. {\bf 47}, 062101 (2006)] to the rotation of the electron spin of a nitrogen-vacancy (NV) center in diamond. The spin of the NV center is a three-level system, with two levels forming a relevant qubit subspace where the time-varying magnetic control field performs rotation, and the third level being idle. We find that the bang-bang control protocol decreases the rotation time by 20--25% in comparison with the traditional oscillating sinusoidal driving. We also find that for most values of the bias field the leakage to the idle level is very small, so that the NV center is a suitable testbed for experimental study of the time-optimal protocols. For some special values of the bias field, however, the unwanted leakage is greatly increased. We demonstrate that this is caused by the resonance with higher-order Fourier harmonics of the bang-bang driving field.

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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