A superconducting adiabatic neuron in a quantum regime

Abstract

We explore the dynamics of an adiabatic neural cell of a perceptron artificial neural network in a quantum regime. This mode of cell operation is assumed for a hybrid system of a classical neural network whose configuration is dynamically adjusted by a quantum co-processor. Analytical and numerical studies take into account non-adiabatic processes as well as dissipation, which leads to smoothing of quantum coherent oscillations. The obtained results indicate the conditions under which the neuron possesses the required sigmoid activation function.

A bifunctional superconducting cell as flux qubit and neuron

“…It should be noted that this system has proven to be a basic element of neural networks such as the perceptron with a sigmoidal input-to-output transformation function (sigma-neuron). Preliminary calculations have shown that under certain conditions, such a neuron can operate successfully in both classical and quantum modes [ 24 , 26 , 28 , 30 ]. The energy of the system in the Hamiltonian formalism can be expressed as follows:…”

“…According to the expressions in Equation 8 , the white dashed line in Figure 2c denotes the limit of the transition probability from the ground to the excited state P LZ < 0.01. This estimate is important for evaluating the functioning of this circuit in adiabatic quantum neural networks, where there are strict requirements for the absence of excitation from the initial state for the implementation of sigmoidal activation functions [ 30 ].…”

“…In particular, dissipative processes significantly affect the flux-to-flux transfer characteristics of such systems. In [ 30 ], we demonstrated that increasing the coupling coefficient of the interferometer with the reservoir suppresses oscillations of the mean flux value (generalised coordinate) caused by nonadiabatic interference effects. However, another important factor (in addition to relaxation) that influences the evolution of observable quantities for an interferometer is thermal fluctuations.…”

A Pair of Coupled Waveguides as a Classical Analogue for a Solid-State Qubit

“…In particular, in the field of quantum computing, the most efficient control of qubit states has been demonstrated for solid-state qubits. In the context of this work, we would like to highlight promising implementations of quantum bits (qubits) which are based on the general features of the energy spectrum of the double-well potential [ 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 ]. In various flux qubits and double quantum dots, tunneling splitting of the ground state allows the formation of a qubit basis.…”

Frontiers of nanoelectronics: intrinsic Josephson effect and prospects of superconducting spintronics

“…- Implementation of Josephson junctions for the design of quantum computers by analyzing the dynamics of a single-junction superconducting interferometer as an adiabatic neural cell of a perceptron artificial neural network in the quantum regime (a hybrid system whose configuration is dynamically adjusted by a quantum co-processor) [ 23 ].…”