论文标题
张量网络算法:路线图
Tensor Network Algorithms: a Route Map
论文作者
论文摘要
张量网络为研究复杂的古典和量子多体问题提供了极其强大的工具。在过去的二十年中,技术和应用程序数量的增加是无情的,尤其是过去十年来,新思想和结果的爆炸爆炸可能对新来者来说可能是压倒性的。这篇简短的评论介绍了基本思想,最佳的方法和一些最重要的算法发展,这些发展正在扩大张量网络潜力的边界。目的是帮助读者不仅欣赏张量网络提供的许多可能性,而且还可以通过最新的代码,适用性和一些持续进展的途径找到自己的道路。
Tensor networks provide extremely powerful tools for the study of complex classical and quantum many-body problems. Over the last two decades, the increment in the number of techniques and applications has been relentless, and especially the last ten years have seen an explosion of new ideas and results that may be overwhelming for the newcomer. This short review introduces the basic ideas, the best established methods and some of the most significant algorithmic developments that are expanding the boundaries of the tensor network potential. The goal is to help the reader not only appreciate the many possibilities offered by tensor networks, but also find their way through state-of-the-art codes, their applicability and some avenues of ongoing progress.