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Review Article
Open Access
Tensor Network Algorithms: A Route Map
- Mari Carmen Bañuls1,2
- Vol. 14:173-191 (Volume publication date March 2023) https://doi.org/10.1146/annurev-conmatphys-040721-022705
- First published as a Review in Advance on November 09, 2022
-
Copyright © 2023 by the author(s).This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. See credit lines of images or other third-party material in this article for license information
Abstract
Tensor networks provide extremely powerful tools for the study of complex classical and quantum many-body problems. Over the past 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 of this review 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.
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