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cs.DS2020
Efficient Algorithms for Approximating Quantum Partition Functions
Ryan L. Mann, Tyler Helmuth
We establish a polynomial-time approximation algorithm for partition functions of quantum spin models at high temperature. Our algorithm is based on the quantum cluster expansion o…
math.PR2020
Loop-erased random walk as a spin system observable
Tyler Helmuth, Assaf Shapira
The determination of the Hausdorff dimension of the scaling limit of loop-erased random walk is closely related to the study of the one-point function of loop-erased random walk, i…