Statistical mechanics of a Hopfield neural-network model in a transverse field

Yu‐qiang Ma, Yueming Zhang, Y. G., Chang-De Gong · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1993

We construct a soluble model to describe the retrieval properties of the quantum transverse Hopfield model in neural networks. A set of equations for the order parameters describing retrieval and spin-glass phases of the Hopfield model in a transverse field are obtained. Based on these equations, phase diagrams are examined and the memory storage capacity of the networks is analyzed as a function of the temperature and transverse field.

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