Fermionic tensor network contraction for arbitrary geometries
Quantum Physics
2025-10-28 v3 Strongly Correlated Electrons
Abstract
We describe our implementation of fermionic tensor network contraction on arbitrary lattices within both a globally ordered and locally ordered formalism. We provide a pedagogical description of these two conventions as implemented for the quimb library. Using hyperoptimized approximate contraction strategies, we present benchmark fermionic projected entangled pair states simulations of finite Hubbard models defined on the three-dimensional diamond lattice and random regular graphs.
Cite
@article{arxiv.2410.02215,
title = {Fermionic tensor network contraction for arbitrary geometries},
author = {Yang Gao and Huanchen Zhai and Johnnie Gray and Ruojing Peng and Gunhee Park and Wen-Yuan Liu and Eirik F. Kjønstad and Garnet Kin-Lic Chan},
journal= {arXiv preprint arXiv:2410.02215},
year = {2025}
}
Comments
9 pages, 9 figures