Fermionic tensor network methods

Autor(en)

Quinten Mortier, Lukas Devos, Lander Burgelman, Bram Vanhecke, Nick Bultinck, Frank Verstraete, Jutho Haegeman, Laurens Vanderstraeten

Abstrakt

We show how fermionic statistics can be naturally incorporated in tensor networks on arbitrary graphs through the use of graded Hilbert spaces. This formalism allows the use of tensor network methods for fermionic lattice systems in a local way, avoiding the need of a Jordan-Wigner transformation or the explicit tracking of leg crossings by swap gates in 2D tensor networks. The graded Hilbert spaces can be readily integrated with other internal and lattice symmetries, and only require minor extensions to an existing tensor network software package. We review and benchmark the fermionic versions of common algorithms for matrix product states and projected entangled-pair states.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Ghent University , Université Libre de Bruxelles

Journal

SciPost Physics

Band

18

Anzahl der Seiten

77

ISSN

2542-4653

DOI

https://doi.org/10.48550/arXiv.2404.14611

Publikationsdatum

01-2025

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103033 Supraleitung

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/a4e2edb1-16e1-4428-abab-0ef344e30fad