Quantum State Adaptive Topology Control for Quantum Path Exploration

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

Quantum state adaptive topology control offers a novel approach to quantum computation, addressing the limitations of traditional algorithms reliant on static path design. This paper investigates the potential of leveraging quantum state's inherent self-adjoint nature to dynamically adjust quantum states, enabling proactive exploration of potential quantum paths. We introduce a framework that utilizes a dynamically evolving topology, guided by quantum state properties, to enhance the efficiency of quantum path discovery. The core mechanism centers around the concept of 'quantum topology' – a mathematical framework describing the interconnectedness and transformation of quantum states – and its application to optimization of quantum computation. We present a theoretical model and initial experimental validation demonstrating the effectiveness of this approach in guiding quantum path exploration, ultimately offering a significant advancement in quantum algorithm performance. The significance of this work lies in its potential to overcome the inherent challenges in quantum computation through active, self-adaptive topology manipulation.

DOI: 10.5281/zenodo.22221385

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