Algorithmic Quantum Resonance

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper explores the potential of utilizing resonant frequencies within quantum systems to accelerate complex calculations and dramatically reduce computational cost. We propose a novel quantum algorithm, 'Resonance Mapping,' that leverages a unique 'resonance mapping' technique based on quantum wave functions to identify and amplify these frequencies. The goal is to develop a method that significantly speeds up calculations compared to classical approaches, offering a fundamental shift in how complex problems are tackled within the quantum realm. The paper details the core mechanism, its potential benefits, and the preliminary design of the algorithm, demonstrating the feasibility of this approach through theoretical analysis and a simplified conceptual model. We anticipate that this algorithm will unlock new possibilities in quantum simulation, optimization, and data analysis.

DOI: 10.5281/zenodo.22324377

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