Testing the performance of tensor network renormalization algorithms

Date

2025

Authors

Partridge, Eliza

Journal Title

Journal ISSN

Volume Title

Publisher

University Of Victoria

Abstract

A variety of tensor network renormalization algorithms programmed in the julia language were compared to determine an optimum algorithm for different use cases. The theory behind these algorithms was also researched. Of the algorithms tested, TRG was the fastest and most accurate algorithm for 2D lattices at high bond dimension. For other cases, results were less clear-cut as different algorithms had different advantages. A more complete ranking of algorithms will require further analysis.

Description

Keywords

quantum algorithm, renormalization, tensor network, TRG, planar graph, Ising

Citation