核磁共振量子控制的实验探索
Experimental exploration over a quantum control landscape through nuclear magnetic resonance
摘要：
在量子控制实验中取得的越来越多的成功推动了控制景观分析的发展，作为解释这些发现的基础。当量子系统被电磁场控制时，作为控制场的函数的可观察性形成了景观。理论分析揭示了许多属性的控制景观，特别是关于他们的斜率，曲率和拓扑结构。对景观预测进行全面的实验评估对于未来考虑控制量子现象非常重要。利用核磁共振（NMR）在这里作为一个理想的实验室设置定量测试的景观原则。实验是在H $_2$ O-D $_2$ O样品中的简单二能级质子系统上进行的。我们报告了各种NMR实验漫游控制景观的基础上估计的梯度和Hessian，包括上升或下降的景观，水平集探索，和评估的Hessian结构的理论预测。实验结果与理论预测完全一致。在这项研究中采用的程序提供了未来的多旋控制景观勘探的基础上，预计存在额外的功能。
英文摘要：
The growing successes in performing quantum control experiments motivated the development of control landscape analysis as a basis to explain these findings.When a quantum system is controlled by an electromagnetic field, the observable as a functional of the control field forms a landscape. Theoretical analyses have revealed many properties of control landscapes, especially regarding their slopes, curvatures, and topologies. A full experimental assessment of the landscape predictions is important for future consideration of controlling quantum phenomena. Nuclear magnetic resonance (NMR) is exploited here as an ideal laboratory setting for quantitative testing of the landscape principles. The experiments are performed on a simple two-level proton system in a H$_2$O-D$_2$O sample. We report a variety of NMR experiments roving over the control landscape based on estimation of the gradient and Hessian, including ascent or descent of the landscape, level set exploration, and an assessment of the theoretical predictions on the structure of the Hessian. The experimental results are fully consistent with the theoretical predictions. The procedures employed in this study provide the basis for future multispin control landscape exploration where additional features are predicted to exist.
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