论文标题
控制量子系统的概率框架
A Probabilistic Framework for Controlling Quantum Systems
论文作者
论文摘要
一种新的控制方法,考虑了所有不确定性和噪音可能影响量子物理系统演变的噪声的来源。在提出的方法下,量子系统的动力学以概率密度函数(PDF)为特征,从而提供了其时间演变的完整描述。使用此概率描述,提出的方法表明,描述了量子系统和外部电场的时间演变的联合分布的实际PDF之间的距离以及描述系统目标结果的所需PDF。我们首先为以任意PDF为特征的量子系统提供控制解决方案。然后将获得的溶液应用于以高斯PDF为特征的量子物理系统,并详细阐述了优化控制器的形式。最后,在真实分子系统和两个旋转系统上展示了所提出的方法,显示了该方法的有效性和简单性。
A new control method that considers all sources of uncertainty and noises that might affect the time evolutions of quantum physical systems is introduced. Under the proposed approach, the dynamics of quantum systems are characterised by probability density functions (pdfs), thus providing a complete description of their time evolution. Using this probabilistic description, the proposed method suggests the minimisation of the distance between the actual pdf that describes the joint distribution of the time evolution of the quantum system and the external electric field, and the desired pdf that describes the system target outcome. We start by providing the control solution for quantum systems that are characterised by arbitrary pdfs. The obtained solution is then applied to quantum physical systems characterised by Gaussian pdfs and the form of the optimised controller is elaborated. Finally, the proposed approach is demonstrated on a real molecular system and two spin systems showing the effectiveness and simplicity of the method.