模拟受驱动量子点系统的有效幺正方法
Efficient unitary method for simulation of driven quantum dot systems
摘要：
根据冯·诺依曼方程演化的密度矩阵通常用于模拟受驱动量子系统的动力学。然而，使用密度矩阵的计算方法往往太慢，无法探索固态量子系统的大参数空间。在这里，我们开发了一种幺正计算方法来快速模拟封闭的量子系统，其中可以忽略对环境的耗散。我们使用三种技术来优化模拟，将它们应用于半导体量子点量子比特系统的六个时间依赖脉冲，并预测动态演化。我们比较我们的酉方法和密度矩阵方法的各种图像尺寸之间的计算时间。作为一个例子，我们实现了一个现实的四态系统[Z。Shi等人，国家通信5，3020（2014）]，并发现它比流行的量子模拟软件QuTiP中实现的相应密度矩阵方法快两个数量级以上。
英文摘要：
Density matrices evolved according the von Neumann equation are commonly used to simulate the dynamics of driven quantum systems. However, computational methods using density matrices are often too slow to explore the large parameter spaces of solid state quantum systems. Here we develop a unitary computation method to quickly perform simulations for closed quantum systems, where dissipation to the environment can be ignored. We use three techniques to optimize simulations, apply them to six time-dependent pulses for a semiconductor quantum dot qubit system, and predict the dynamic evolutions. We compare computational times between our unitary method and the density matrix method for a variety of image sizes. As an example, we implement our unitary method for a realistic four-state system [Z. Shi, et al., Nat. Commun. 5, 3020 (2014)], and find that it is over two orders of magnitude faster than the corresponding density matrix method implemented in the popular quantum simulation software QuTiP.
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