Ising model calculation using PDM neural network hardware: Boltzmann statistical mechanics embedded in the hardware

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We have proposed the network configuration for the Ising model calculation using a pulse-density-modulating (PDM) neural network hardware. The hardware consists of 54 asynchronous digital neurons with full interconnections. One logical spin in the Ising model is composed of two physical neuron circuits. We have analyzed the computation results of the hardware and it was demonstrated that the statistical behavior of the hardware was subject to Boltzmann statistical mechanics. Utilizing this intrinsic dynamics, we calculated the magnetization and phase-transfer temperature of the Ising model without any programs and additional circuits, and the results closely agreed with theoretical ones.

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