Title: Quantum-Inspired Harmonic Oscillator Simulation with Adaptive Resonance (QHI-AR)

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum-Inspired Harmonic Oscillator Simulation with Adaptive Resonance (QHI-AR) presents a novel approach to modeling and analyzing complex oscillating systems, leveraging quantum-inspired principles to enhance accuracy and computational efficiency. This method introduces an adaptive resonance technique to guide the simulation process, mitigating the inherent challenges of traditional harmonic oscillator methods. The core mechanism centers around incorporating a simplified representation of quantum tunneling, offering a potentially significant improvement in the modeling of oscillating behavior, particularly in systems exhibiting dynamic resonance or complex phase transitions. This research aims to establish a robust and adaptable simulation technique for a diverse range of applications, including materials science, fluid dynamics, and control systems. The study will explore the effectiveness of the QHI-AR algorithm in achieving higher fidelity and reduced computational costs compared to conventional harmonic oscillator simulations.

DOI: 10.5281/zenodo.22185971

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