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arXiv · 2506.21363

Canonical Quantization of a Memristive Leaky Integrate-and-Fire Neuron Circuit

Dean Brand·Domenica Dibenedetto·Francesco Petruccione
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Abstract

We present a theoretical framework for a quantized memristive Leaky Integrate-and-Fire (LIF) neuron, uniting principles from neuromorphic engineering and open quantum systems. Starting from a classical memristive LIF circuit, we apply canonical quantization techniques to derive a quantum model grounded in circuit quantum electrodynamics. Numerical simulations demonstrate key dynamical features of the quantized memristor and LIF neuron in the weak-coupling and adiabatic regime, including memory effects and spiking behavior. Applications of this model to a sound localization benchmark show that it outperforms a phenomenological quantum LIF model as well as a classical LIF. This work establishes a foundational model for quantum neuromorphic computing, offering a pathway towards biologically inspired quantum spiking neural networks and new paradigms in quantum machine learning.

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Dean Brand, Domenica Dibenedetto, Francesco Petruccione. 2025-06-26. Canonical Quantization of a Memristive Leaky Integrate-and-Fire Neuron Circuit. https://doi.org/10.1103/y61v-2bxf

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