## Automatic contraction of unstructured tensor networks

Adam S. Jermyn

SciPost Phys. 8, 005 (2020) · published 15 January 2020

- doi: 10.21468/SciPostPhys.8.1.005
- Submissions/Reports

### 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.

### Ontology / Topics

See full Ontology or Topics database.### Author / Affiliation: mappings to Contributors and Organizations

See all Organizations.-
^{1 }Adam Jermyn

^{1}Flatiron Institute

Funders for the research work leading to this publication