Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature

Helmuth, Tyler; Mann, Ryan L.

doi:10.22331/q-2023-10-25-1155

Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature

Helmuth, Tyler; Mann, Ryan L.

Authors

Dr Tyler Helmuth tyler.helmuth@durham.ac.uk
Associate Professor

Ryan L. Mann

Abstract

We establish an efficient approximation algorithm for the partition functions of a class of quantum spin systems at low temperature, which can be viewed as stable quantum perturbations of classical spin systems. Our algorithm is based on combining the contour representation of quantum spin systems of this type due to Borgs, Kotecký, and Ueltschi with the algorithmic framework developed by Helmuth, Perkins, and Regts, and Borgs et al.

Citation

Helmuth, T., & Mann, R. L. (2023). Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature. Quantum, 7, 1155. https://doi.org/10.22331/q-2023-10-25-1155

Journal Article Type	Article
Acceptance Date	Sep 25, 2023
Online Publication Date	Oct 25, 2023
Publication Date	2023
Deposit Date	Feb 20, 2024
Publicly Available Date	Feb 20, 2024
Journal	Quantum
Electronic ISSN	2521-327X
Publisher	Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
Peer Reviewed	Peer Reviewed
Volume	7
Pages	1155
DOI	https://doi.org/10.22331/q-2023-10-25-1155
Public URL	https://durham-repository.worktribe.com/output/2270953

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Copyright Statement
This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions.