Optimizing glassy p-spin models

Details Optimizing glassy p-spin models Optimizing glassy p-spin models

2010-10-12

arxiv.org/abs/1010.2524v2

Phys. Rev. E 83, 046709 (2011)

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 8 figures

Scientific paper

10.1103/PhysRevE.83.046709

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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