# Quantum gauged neural network: U(1) gauge theory

@article{Fujita2002QuantumGN, title={Quantum gauged neural network: U(1) gauge theory}, author={Yukari Fujita and Tetsuo Matsui}, journal={Proceedings of the 9th International Conference on Neural Information Processing, 2002. ICONIP '02.}, year={2002}, volume={3}, pages={1360-1367 vol.3} }

A quantum model of neural network is introduced and its phase structure is examined. The model is an extension of the classical Z(2) gauged neural network of learning and recalling to a quantum model by replacing the Z(2) variables, S/sub i/ = /spl plusmn/1 of neurons and J/sub ij/ = /spl plusmn/1 of synaptic connections, to the U(1) phase variables, S/sub i/ = exp(i/spl phi//sub i/) and J/sub ij/ = exp(i/spl theta//sub ij/). These U(1) variables describe the phase parts of the wave functions…

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