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

• URL: http://arxiv.org/abs/2506.21363v1
• Date: Thu, 26 Jun 2025 15:14:08 GMT
• Title: Canonical Quantization of a Memristive Leaky Integrate-and-Fire Neuron Circuit
• Authors: Dean Brand, Domenica Dibenedetto, Francesco Petruccione,
• Abstract summary: We present a theoretical framework for a quantized memristive Leaky Integrate-and-Fire (LIF) neuron.<n>We apply canonical quantization techniques to derive a quantum model grounded in circuit quantum electrodynamics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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 behaviour. 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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