Efficient Algorithms for Approximating Quantum Partition Functions

Ryan L. Mann*, Tyler Helmuth

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

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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.
Original languageEnglish
Article number022201
Number of pages8
JournalJournal of Mathematical Physics
Issue number2
Early online date1 Feb 2021
Publication statusPublished - 1 Feb 2021


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    Montanaro, A. M. R.


    Project: Research

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