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• W2808555260 abstract "Recently, it was demonstrated both theoretically and experimentally on the D-Wave quantum annealer that transverse-field quantum annealing does not find all ground states with equal probability. In particular, it was proposed that more complex driver Hamiltonians beyond transverse fields might mitigate this shortcoming. Here, we investigate the mechanisms of (un)fair sampling in quantum annealing. While higher-order terms can improve the sampling for selected small problems, we present multiple counterexamples where driver Hamiltonians that go beyond transverse fields do not remove the sampling bias. Using perturbation theory we explain why this is the case. In addition, we present large-scale quantum Monte Carlo simulations for spin glasses with known degeneracy in two space dimensions and demonstrate that the fair-sampling performance of quadratic driver terms is comparable to standard transverse-field drivers. Our results suggest that quantum annealing machines are not well suited for sampling applications, unless post-processing techniques to improve the sampling are applied." @default.
• W2808555260 created "2018-06-21" @default.
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• W2808555260 date "2019-09-20" @default.
• W2808555260 modified "2023-09-25" @default.
• W2808555260 title "Uncertain fate of fair sampling in quantum annealing" @default.
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• W2808555260 doi "https://doi.org/10.1103/physreva.100.030303" @default.
• W2808555260 hasPublicationYear "2019" @default.
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