Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fair sampling of ground-state configurations of binary optimization
  problems   Although many efficient heuristics have been developed to solve binary
optimization problems, these typically produce correlated solutions for
degenerate problems. Most notably, transverse-field quantum annealing - the
heuristic employed in current commercially-available quantum annealing machines
- has been shown to often be exponentially biased when sampling the solution
space. Here we present an approach to sample ground-state (or low-energy)
configurations for binary optimization problems. The method samples degenerate
states with almost equal probability and is based on a combination of parallel
tempering Monte Carlo with isoenergetic cluster moves. We illustrate the
approach using two-dimensional Ising spin glasses, as well as spin glasses on
the D-Wave Systems Inc. quantum annealer chimera topology. In addition, a
simple heuristic to approximate the number of solutions of a degenerate problem
is introduced.

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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
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The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an