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Estimating the density of states of systems with rugged free energylandscapes is a notoriously difficult task of the utmost importance in manyareas of physics ranging from spin glasses to biopolymers. Density of statesestimation has also recently become an indispensable tool for the benchmarkingof quantum annealers when these function as samplers. Some of the standardapproaches suffer from a spurious convergence of the estimates to metastableminima, and these cases are particularly hard to detect. Here, we introduce asampling technique based on population annealing enhanced with amulti-histogram analysis and report on its performance for spin glasses. Wedemonstrate its ability to overcome the pitfalls of other entropic samplers,resulting in some cases in large scaling advantages that can lead to theuncovering of new physics. The new technique avoids some inherent difficultiesin established approaches and can be applied to a wide range of systems withoutrelevant tailoring requirements. Benchmarking of the studied techniques isfacilitated by the introduction of several schemes that allow us to achieveexact counts of the degeneracies of the tested instances.

Estimating the Density of States of Frustrated Spin Systems