Efficient Algorithms for Approximating Quantum Partition Functions

• URL: http://arxiv.org/abs/2004.11568v2
• Date: Mon, 1 Feb 2021 13:59:44 GMT
• Title: Efficient Algorithms for Approximating Quantum Partition Functions
• Authors: Ryan L. Mann, Tyler Helmuth
• Abstract summary: We establish a time approximation algorithm for partition functions of quantum spin models at high temperature. Our main contribution is a simple and slightly sharper analysis for the case of pairwise interactions on bounded-degree graphs.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 of Neto\v{c}n\'y and Redig and the cluster expansion approach to designing algorithms due to Helmuth, Perkins, and Regts. Similar results have previously been obtained by related methods, and our main contribution is a simple and slightly sharper analysis for the case of pairwise interactions on bounded-degree graphs.

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