Dissipative quantum many-body dynamics in (1+1)D quantum cellular automata and quantum neural networks
Mario Boneberg,
Federico Carollo,
Igor Lesanovsky
Abstract:Classical artificial neural networks, built from perceptrons as their elementary units, possess enormous expressive power. Here we investigate a quantum neural network architecture, which follows a similar paradigm. It is structurally equivalent to so-called (1+1)D quantum cellular automata, which are two-dimensional quantum lattice systems on which dynamics takes place in discrete time. Information transfer between consecutive time slices -- or adjacent network layers -- is governed by local quantum gates, wh… Show more
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