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MODELING OF QUANTUM CONTROL SYSTEMS BASED ON QUANTIZATION

机译：基于量化的量子控制系统建模

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It is getting more and more important to manipulate and control quantum states with rapid development of quantum information theory in the last two decades. There are many differences between the control of quantum systems and that of classical systems, so the control of quantum states must be guided by quantum control theory. Quantum control theory is a new interdiscipline, which mainly studies the control of quantum states for systems in the microworld. To get better control results, it is necessary to study modeling of quantum control systems. In classical system control theory, models of many control systems are given, and there are also corresponding relations between quantum mechanical operators (such as momentum operator, energy operator) and classical physical quantities, so the application of quantization may be considered. In this paper, the method of quantization is introduced, by which the models of quantum control systems can be derived from corresponding classical control systems. Three methods are discussed: direct quantization, indirect quantization and analogy quantization. Direct quantization is that the models of quantum control systems are directly derived from classical control systems through the corresponding relations between quantum operators and classical physical quantities. Indirect quantization is that the models of quantum control systems are indirectly derived via Lagrangian and Hamiltonian systems within the framework of Lagrangian and Hamiltonian formalisms. And analogy quantization is that the models of quantum control systems are derived by analogy with the classical control systems which are easily quantized. The method of quantization joints quantum control and classical control, and it is possible to extend some conclusions in classical control to quantum control domain.
机译：它是越来越重要的操作和在过去的二十年量子信息理论的快速发展控制量子态。有量子系统的控制和经典的系统之间有许多差异，所以量子态的控制必须由量子控制理论的指导。量子控制理论是一个新兴的交叉学科，它主要研究量子态在微观世界系统的控制。为了得到更好的控制效果，有必要研究量子控制系统的建模。在传统的系统控制理论，很多控制系统的机型中，将其也有量子力学运营商（如动量算符，能源运营商）和经典物理量之间的对应关系，所以量化的应用程序可能会被考虑。在本文中，被引入的量化的方法，通过其量子控制系统的模型可以从相应的经典控制系统中导出。讨论了三种方法：直接量化，量化间接和类比量化。直接量化是量子控制系统的车型来自于古典控制系统通过量子运营商和经典物理量的对应关系直接导出。间接量化是量子控制系统的模型间接地通过拉格朗日和Hamilton系统衍生的拉格朗日和哈密顿形式化的框架内。和类比量化是量子控制系统的模型由类似于衍生自具有这很容易量化的经典控制系统。量化关节量子控制和经典控制的方法，并且它能够在经典控制量子控制域延伸一些结论。

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