https://doi.org/10.1140/epjb/s10051-025-01073-3
Research - Condensed Matter
Quantum annealing in SK model employing Suzuki–Kubo–deGennes quantum Ising mean field dynamics
1
Department of Physics, SRM University, AP, 522240, Amaravati, Andhra Pradesh, India
2
Department of Computer Science and Engineering, SRM University, AP, 522240, Amaravati, Andhra Pradesh, India
3
Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 700064, Kolkata, India
Received:
1
August
2025
Accepted:
14
October
2025
Published online:
29
October
2025
We study a quantum annealing approach for estimating the ground state energy of the Sherrington–Kirpatrick mean field spin glass model using the Suzuki–Kubo–deGennes dynamics applied for individual local magnetization components. The solutions of the coupled differential equations, in discretized state, give a fast annealing algorithm (cost 
) in estimating the ground state of the model: classical (
), quantum (
), and mixed (
), all of which are to be compared with the best known estimate 
. We infer that the continuous nature of the magnetization variable used in the dynamics here is the reason for reaching close to the ground state quickly and also the reason for not observing the de-Almeida–Thouless line in this approach.
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Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
