Basic property of a quantum neural network composed of Kane's qubits

Yuuki Nakamiya, M. Kinjo, Osamu Takahashi, Shigeo Sato, Kiyotaka Nakajima · Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005. · 2006

It has been known a variety of optimization problems can be solved with a neural network, and a quantum computer executes real parallel computation. A quantum neural network has been proposed in order to incorporate quantum dynamics. In this paper, we test the possibility of real implementation of a quantum neural network with a nuclear spin as a qubit. First, we introduce the relation between spin and neuron, then describe the adiabatic Hamiltonian evolution applied for the state change. Next, we describe a real spin quantum system and show the simulation results. A nuclear spin system proposed by Kane behaves as a neuron with inhibitory interactions as expected in analogy to a Hopfield network.

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