SciPost Submission Page

Automatic Contraction of Unstructured Tensor Networks

by Adam S. Jermyn

Submission summary

As Contributors: Adam Jermyn
Arxiv Link: https://arxiv.org/abs/1709.03080v3
Date submitted: 2019-08-09
Submitted by: Jermyn, Adam
Submitted to: SciPost Physics
Domain(s): Computational
Subject area: Condensed Matter Physics - Computational

Abstract

The evaluation of partition functions is a central problem in statistical physics. For lattice systems and other discrete models the partition function may be expressed as the contraction of a tensor network. Unfortunately computing such contractions is difficult, and many methods to make this tractable require periodic or otherwise structured networks. Here I present a new algorithm for contracting unstructured tensor networks. This method makes no assumptions about the structure of the network and performs well in both structured and unstructured cases so long as the correlation structure is local.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1709.03080v3 on 9 August 2019

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