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Title: Algorithmic Resonance-Based Quantum Simulation (ARQS)

Jincheng Zhang

Published Sep 6, 2026• 0 citations
Publisher

Abstract

This paper introduces Algorithmic Resonance-Based Quantum Simulation (ARQS), a novel quantum simulation algorithm designed to dramatically enhance the fidelity of quantum system simulations through the utilization of resonant frequencies. Traditional quantum simulation methods often struggle with accuracy, particularly for complex systems due to the inherent challenges of representing and manipulating quantum states. ARQS addresses these challenges by exploiting the inherent resonance properties of quantum systems to dynamically adjust simulation parameters, effectively reducing computational cost and error. The core mechanism of ARQS involves identifying resonant frequencies within the system and utilizing them to 'tune' the simulation, leading to a significant improvement in simulation fidelity. This research explores the theoretical foundations, implementation details, and preliminary experimental results supporting the potential of ARQS to revolutionize quantum science.

DOI
10.5281/zenodo.22491504

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This paper presents Algorithmic Topology-Aware Quantum Simulation (ATQS), a novel quantum simulation technique designed to enhance fidelity in quantum mechanical modeling by incorporating topological constraints. Traditional quantum simulation methods often struggle with the inherent complexities of quantum systems, particularly in capturing the precise topology required for accurate representation. ATQS addresses this challenge by dynamically adapting the simulation topology based on the underlying physics, offering a pathway towards simulations with significantly improved accuracy and robustness. The core mechanism hinges on constructing a quantum algorithm that, when applied to a given system, iteratively adjusts the simulation's topology to align with the physical constraints, thereby minimizing errors and maximizing the fidelity of the simulation results. We detail the algorithm's design, demonstrate its effectiveness through illustrative examples, and discuss its potential impact on various quantum simulation scenarios. The paper concludes by outlining future research directions focusing on scalability and the application of this technique to more complex systems.
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