Tensor networks for quantum computing
Quantum Physics
2026-02-23 v3
Abstract
In the rapidly evolving field of quantum computing, tensor networks serve as an important tool due to their multifaceted utility. In this paper, we review the diverse applications of tensor networks and show that they are an important instrument for quantum computing. Specifically, we summarize the application of tensor networks in various domains of quantum computing, including simulation of quantum computation, quantum circuit synthesis, quantum error correction and mitigation, and quantum machine learning. Finally, we provide an outlook on the opportunities and the challenges of the tensor-network techniques.
Cite
@article{arxiv.2503.08626,
title = {Tensor networks for quantum computing},
author = {Aleksandr Berezutskii and Minzhao Liu and Atithi Acharya and Roman Ellerbrock and Johnnie Gray and Reza Haghshenas and Zichang He and Abid Khan and Viacheslav Kuzmin and Dmitry Lyakh and Danylo Lykov and Salvatore Mandrà and Christopher Mansell and Alexey Melnikov and Artem Melnikov and Vladimir Mironov and Dmitry Morozov and Florian Neukart and Alberto Nocera and Michael A. Perlin and Michael Perelshtein and Matthew Steinberg and Ruslan Shaydulin and Benjamin Villalonga and Markus Pflitsch and Marco Pistoia and Valerii Vinokur and Yuri Alexeev},
journal= {arXiv preprint arXiv:2503.08626},
year = {2026}
}