Quantum Chaos Theory and Algorithm Design

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper explores the potential synergy between quantum chaos theory and algorithm design. We argue that the principles of quantum chaos, characterized by sensitive dependence on initial conditions and complex, unpredictable behavior, can inspire novel approaches to designing quantum algorithms. Specifically, we investigate the possibility of creating quantum algorithms exhibiting chaotic properties, which could lead to significant advancements in quantum speedup for certain computational tasks. The core of this investigation lies in understanding the mathematical foundations of quantum chaos and translating these concepts into practical algorithmic designs. We present a framework for exploring this relationship, focusing on the generation of quantum states with chaotic characteristics and leveraging these states within computational processes. This work lays a foundational exploration into this emerging field, highlighting the potential for a richer understanding and development of quantum algorithms. The central aim is to demonstrate how quantum chaos can be a valuable tool in the design and optimization of quantum algorithms.

DOI: 10.5281/zenodo.22273872

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