## Introduction to Quantum Neural TechnologiesThis is a first introductory book in Quantum Neural Technology -- a new and promising area of informatics. Combination of the ideas from quantum computing and neural computing raises the possibility of dramatically decreasing the complexity of neural systems by replacing networks of classical neurons with a single quantum neuron. In the first two chapters, the fundamentals of neural technologies and of quantum computing are presented. In the third chapter, it is outlined how the problems typical for classical neural technology can be solved by using quantum neural technology. This book is very useful to students, teachers, researchers, and engineers, who are working in informatics or just interested in being briefly aware of it. |

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### Contents

CLASSICAL NEURAL TECHNOLOGIES | ix |

QUANTUM MECHANICS AND COMPUTING | 63 |

QUANTUM NEURAL TECHNOLOGIES | 107 |

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### Common terms and phrases

amplitudes analog arbitrary artificial neuron associations auto-associative memory basis binary weights Boolean function calculate class qubit classical neural technology coefficients complex considered content-addressable memory corresponding defined denote distributed query energy entangled equation exponential number follows frequency function approximation gain function Grover's algorithm Hadamard operator hidden neurons Hilbert space Hopfield model Hopfield network implementation individual classical neurons initial input register integer interference layer linear neuron measurement minimal multilayer perceptrons neural networks neuron output number of iterations obtain Oracle output neuron parameters particle patterns performed phase photon possible Potts neuron probability problem processing pulse quantum algorithms quantum computers quantum gates quantum neural systems quantum neural technologies quantum neuron quantum superposition quantum system realize refractory indexes represented scheme signal single quantum neuron single-class single-pattern solve spin spurious memories superposition threshold neuron tion training set two-layer type-II quantum computers unitary operator unitary transformation universal wave function XOR function zero