Quantum-Guided Evolution of Mathematical Structures

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential of quantum-guided evolution to fundamentally alter the trajectory of mathematical structures, focusing on the manipulation of group theory and lattice structures. We propose a novel method, termed "Quantum Guidance," utilizing quantum entanglement and superposition to subtly influence the evolution of these structures, offering a potential paradigm shift in algorithm design and mathematical modeling. The paper details the core mechanism of this approach, outlining the initial conceptual framework and mathematical foundations underpinning the Quantum Guidance algorithm. We present preliminary results demonstrating the effectiveness of this method in evolving simple lattice structures, highlighting its potential for broader application across a range of mathematical domains. The paper concludes with a discussion of future research directions, emphasizing the challenges and opportunities presented by this nascent field.

DOI: 10.5281/zenodo.22193871

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