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Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature
January 17, 2022 Β· Declared Dead Β· π Quantum
"No code URL or promise found in abstract"
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Authors
Tyler Helmuth, Ryan L. Mann
arXiv ID
2201.06533
Category
quant-ph: Quantum Computing
Cross-listed
cs.CC,
cs.DS,
math.CO
Citations
8
Venue
Quantum
Last Checked
5 months ago
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, KoteckΓ½, and Ueltschi with the algorithmic framework developed by Helmuth, Perkins, and Regts, and Borgs et al.
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