SciPost Submission Page
Fast counting with tensor networks
by Stefanos Kourtis, Claudio Chamon, Eduardo R. Mucciolo, Andrei E. Ruckenstein
|As Contributors:||Stefanos Kourtis|
|Submitted by:||Kourtis, Stefanos|
|Submitted to:||SciPost Physics|
|Domain(s):||Theor. & Comp.|
|Subject area:||Condensed Matter Physics - Computational|
We introduce tensor network contraction algorithms for counting satisfying assignments of constraint satisfaction problems (#CSPs). We represent each arbitrary #CSP formula as a tensor network, whose full contraction yields the number of satisfying assignments of that formula, and use graph theoretical methods to determine favorable orders of contraction. We employ our heuristics for the solution of #P-hard counting boolean satisfiability (#SAT) problems, namely monotone #1-in-3SAT and #Cubic-Vertex-Cover, and find that they outperform state-of-the-art solvers by a significant margin.
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Reports on this Submission
Anonymous Report 1 on 2019-8-25 Invited Report
The paper seems to be written well and discussions are convincing. I recommend the publication.