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

Bibliographic Details
Title: Gadgets for simulating a non-native $XX$ interaction in quantum annealing
Authors: Banks, Robert J., Feinstein, Natasha, Ghosh, Roopayan, Bose, Sougato, Warburton, P. A.
Publication Year: 2025
Collection: Quantum Physics
Subject Terms: Quantum Physics
More Details: 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.
Comment: 10 pages, 7 figures
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2503.16663
Accession Number: edsarx.2503.16663
Database: arXiv
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  Data: Gadgets for simulating a non-native $XX$ interaction in quantum annealing
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  Data: <searchLink fieldCode="AR" term="%22Banks%2C+Robert+J%2E%22">Banks, Robert J.</searchLink><br /><searchLink fieldCode="AR" term="%22Feinstein%2C+Natasha%22">Feinstein, Natasha</searchLink><br /><searchLink fieldCode="AR" term="%22Ghosh%2C+Roopayan%22">Ghosh, Roopayan</searchLink><br /><searchLink fieldCode="AR" term="%22Bose%2C+Sougato%22">Bose, Sougato</searchLink><br /><searchLink fieldCode="AR" term="%22Warburton%2C+P%2E+A%2E%22">Warburton, P. A.</searchLink>
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  Data: 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.<br />Comment: 10 pages, 7 figures
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      – SubjectFull: Quantum Physics
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      – TitleFull: Gadgets for simulating a non-native $XX$ interaction in quantum annealing
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            NameFull: Feinstein, Natasha
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