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Quantum State Preparation Representation
Efficient Algorithms for Weakly-Interacting Quantum Spin Systems
arXiv
Authors: Ryan L. Mann, Gabriel Waite
Year
2026
Paper ID
3166
Status
Preprint
Abstract Read
~2 min
Abstract Words
59
Citations
N/A
Abstract
We establish efficient algorithms for weakly-interacting quantum spin systems at arbitrary temperature. In particular, we obtain a fully polynomial-time approximation scheme for the partition function and an efficient approximate sampling scheme for the thermal distribution over a classical spin space. Our approach is based on the cluster expansion method and a standard reduction from approximate sampling to approximate counting.
Why This Paper Matters
- This paper contributes to the Quantum State Preparation & Representation research area in the Quantum Articles archive.
- It adds a 2026 reference point for readers tracking recent quantum research.
- We establish efficient algorithms for weakly-interacting quantum spin systems at arbitrary temperature.
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