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arXiv · 1010.2524

Optimizing glassy p-spin models

Creighton K. Thomas·Helmut G. Katzgraber
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Abstract

Computing the ground state of Ising spin-glass models with p-spin interactions is, in general, an NP-hard problem. In this work we show that unlike in the case of the standard Ising spin glass with two-spin interactions, computing ground states with p=3 is an NP-hard problem even in two space dimensions. Furthermore, we present generic exact and heuristic algorithms for finding ground states of p-spin models with high confidence for systems of up to several thousand spins.

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Creighton K. Thomas, Helmut G. Katzgraber. 2010-10-12. Optimizing glassy p-spin models. https://doi.org/10.1103/physreve.83.046709

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