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- W4386320387 abstract "Ising machines have attracted attention as fast and high-precision solvers for combinatorial optimization problems, which are often formulated as ground-state (lowest-energy) search problems of the Ising model. Since the bit-width of coefficients on Ising machines is limited, the Ising model must be transformed into a bit-width reduced (BWR) Ising model which reduces the coefficients. In a bit-width reduction method, which adds auxiliary spins, the ground state of the BWR Ising model is theoretically the same as the Ising model before bit-width reduction (original Ising model). However, the dynamical process of the BWR Ising model towards the ground state remains to be elucidated. Therefore, using simulated annealing (SA), we compared the dynamical processes of these models. The result shows that the dynamical process differs significantly by model. Analysis from the viewpoint of statistical mechanics found that the BWR Ising model has two characteristic properties: an effective temperature and a slow relaxation. It is suggested that these properties alter the effective temperature and spin flip probability in the BWR Ising model, contributing to the dynamical differences. Therefore, to obtain the same dynamical process as the original Ising model, we proposed SA parameters for the BWR Ising model. We demonstrated the proposed SA parameter using a square lattice Ising model, in which the interaction and magnetic field were set uniformly to the same positive values or randomly. As experimental evaluations, the dynamical process of the BWR Ising model became closer to that of the original Ising model." @default.
- W4386320387 created "2023-09-01" @default.
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- W4386320387 date "2023-01-01" @default.
- W4386320387 modified "2023-10-07" @default.
- W4386320387 title "Dynamical process of a bit-width reduced Ising model with simulated annealing" @default.
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- W4386320387 doi "https://doi.org/10.1109/access.2023.3310875" @default.
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