Quantum optical model of an artificial neuron

Dan A. Ventura, Tony R. Martinez

Jhordan Silveira de Borba, Jonas Maziero

The first artificial quantum neuron models followed a similar path to classic models and they work only with discrete values. Here we introduce an algorithm that generalizes the binary model manipulating the phase of complex numbers. We propose, test, and implement a neuron model that works with continuous values in a quantum computer. Through simulations, we also demonstrated that our model may work in a hybrid training scheme utilizing gradient descent as a learning algorithm. This work represents another step in the direction of the practical use of artificial neural networks efficiently implemented in near-term quantum devices.

Lei Lyu, Chen Pang, Jihua Wang

Ri‐Gui Zhou, Liang Zhou, Nan Jiang +1 more

Quantum artificial neural network (QANN) is one of the new paradigms built upon the combination of classical neural and quantum computations. It has great values for theoretic study and potentials to applications. In this paper, an intrinsic similarity of quantum theory and artificial neural network (ANN) theory has been highlighted and analyzed. The dynamic features of QANN are also discussed in details. As an application using dynamic features, a novel model of quantum neuron (QN) is described hereby with a focus on an operation function. Numerical results are illustrated to show that this the proposed QN model can perform a XOR function unrealizable with a classical neuron (CN). The model allows obtain a nonlinear mapping performed by two layers of classical ANN (CANN)

Elizabeth Behrman, James E. Steck

Jincheng Zhang

This paper introduces the Quantum Mechanics Simulation of Neurons Model (QMNN), a novel approach to simulating neuronal behavior based on fundamental principles of quantum mechanics. Traditional artificial neural networks (ANNs) often struggle to accurately replicate the complex dynamics observed in biological neurons due to their reliance on classical computational methods. QMNN leverages concepts such as superposition and entanglement, key features of quantum mechanics, to represent neuronal states and interactions. The model employs a discrete quantum system, where neuronal activity is represented by quantum states, allowing for inherent parallelism and potentially capturing phenomena currently inaccessible to classical neural simulations. This work details the core concepts of QMNN, outlining its mathematical formulation, key components, and potential advantages over conventional ANN approaches. We present a simplified model of a single neuron utilizing a quantum bit (qubit) to represent its state. The model's equations reflect the Schrödinger equation and the evolution of quantum states under influence of external stimuli. The simulation explores scenarios demonstrating the potential for increased computational efficiency and the ability to model phenomena like quantum coherence within neuronal networks. Further research will focus on scaling the model to multi-neuron networks and investigating the model's applicability to various neurological conditions.