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tensor network algorithm

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1 - Introduction
Tao Xiang, Chinese Academy of Sciences, Beijing
Book:

Density Matrix and Tensor Network Renormalization

Published online:

18 January 2024

Print publication:

31 August 2023, pp 1-34
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Summary

This chapter starts with an introductory survey on the physical background and historical events that lead to the emergence of the density matrix renormalization group (DMRG) and its tensor network generalization. We then briefly overview the major progress on the renormalization group methods of tensor networks and their applications in the past three decades. The tensor network renormalization was initially developed to solve quantum many-body problems, but its application field has grown constantly. It has now become an irreplaceable tool for investigating strongly correlated problems, statistical physics, quantum information, quantum chemistry, and artificial intelligence.

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1 - Introduction

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