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arXiv · 2112.03602

Statistical quality assessment of Ising-based annealer outputs

Krzysztof Domino·Mátyás Koniorczyk·Zbigniew Puchała
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Abstract

The ability to evaluate the outcomes of quantum annealers is essential for such devices to be used in complex computational tasks. We introduce a statistical test of the quality of Ising-based annealers' output based on the data only, assessing the ground state's probability of being sampled. A higher probability value implies that at least the lower part of the spectrum is a part of the sample. Assuming a plausible model of the univariate energy distribution of the sample, we express the ground-state energy and temperature as a function of cumulants up to the third order. Using the annealer samples, we evaluate this multiple times using Bootstrap resampling, resulting in an estimated histogram of ground-state energies and deduce the desired parameter on this basis. The approach provides an easily implementable method for the primary validation of Ising-based annealers' output. We demonstrate its behavior through experiments made with actual samples originating from quantum annealer devices.

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Krzysztof Domino, Mátyás Koniorczyk, Zbigniew Puchała. 2021-12-07. Statistical quality assessment of Ising-based annealer outputs. https://doi.org/10.1007/s11128-022-03623-5

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