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Gadgets for simulating a non-native $XX$ interaction in quantum annealing

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arxiv 2503.16663 v1 pith:JWBYAW23 submitted 2025-03-20 quant-ph

Robert J. Banks , Natasha Feinstein , Roopayan Ghosh , Sougato Bose , P.A. Warburton This is my paper · ORCID
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keywords interactionsannealinggadgetsgadgetquantumadditionalinteractionone-hot
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abstract

In certain scenarios, quantum annealing can be made more efficient by additional $XX$ interactions. It has been shown that the additional interactions can reduce the scaling of perturbative crossings. In traditional annealing devices these couplings do not exist natively. In this work, we develop two gadgets to achieve this: a three-body gadget that requires a strong $ZZZ$ interaction; and a one-hot gadget that uses only local $X$ drives and two-body $ZZ$ interactions. The gadgets partition the Hilbert space to effectively generate a limited number of $XX$ interactions in the low-energy subspace. We numerically verify that the one-hot gadget can mitigate a perturbative crossing on a toy problem. These gadgets establish new pathways for implementing and exploiting $XX$ interactions, enabling faster and more robust quantum annealing.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Reshaping quantum annealing landscapes with diagonal catalysts

    quant-ph 2026-07 conditional novelty 7.0 of 10

    Catalysts built from sign-propagated path patterns reshape the Hamming-distance structure of Ising landscapes and increase near-solution probability in quantum annealing simulations.

  2. Non-Perturbative Topological Gadgets for Many-Body Coupling

    quant-ph 2025-06 reject novelty 7.0 of 10

    Domain-wall defects in a qubit chain can non-perturbatively synthesize effective many-body Hamiltonian terms and encoded bit-flip operations using only local three- or five-body physical couplings.

  3. Emulating XX catalysts for quantum annealing via self-consistent transverse fields

    quant-ph 2026-07 conditional novelty 6.0 of 10

    Measurement-feedback transverse fields reproduce the dynamics of fully-connected transverse-interaction catalysts at large system size, with errors controlled by system size, update interval, and number of measurements.

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