Abstract

Due to complexity of the systems and processes it addresses, the development of computational quantum physics is influenced by the progress in computing technology. Here we overview the evolution, from the late 1980s to the current year 2020, of the algorithms used to simulate dynamics of quantum systems. We put the emphasis on implementation aspects and computational resource scaling with the model size and propagation time. Our mini-review is based on a literature survey and our experience in implementing different types of algorithms on supercomputers ‘‘Lobachevskii’’ (at Lobachevskii State University of Nizhny Novgorod) and ‘‘Lomonosov 2’’ (at Moscow State University).

中文翻译：

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复杂量子动力学建模：HPC上下文中数值算法的演变

摘要

由于其解决的系统和过程的复杂性，计算量子物理学的发展受到计算技术进步的影响。在这里，我们概述了用于模拟量子系统动力学的算法从1980年代末到2020年的发展。我们将重点放在实现方面以及模型大小和传播时间的计算资源缩放上。我们的小型审查基于文献调查，以及我们在超级计算机“ Lobachevskii”（位于下诺夫哥罗德的Lobachevskii国立大学）和“ Lomonosov 2”（位于莫斯科国立大学）上实现不同类型算法的经验。