Topology optimization has been formulated as a quadratic unconstrained binary optimization (QUBO) problem that can be solved by Digital Annealer (DA) and quantum computers, which can realize massive parallelization. It is shown that the 3D topology optimization (TO) of a permanent magnet, with 600 unknowns, is successfully performed by the DA with the aid of the finite element method for field computations. Moreover, it is shown to perform TO of a magnetic core, with 758 unknowns, in such a way that the QUBO and field problems are iteratively solved to determine the optimal solution wherein the magnetic field and optimal core structure are selfconsistent.
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