Dynamic Topological Quantum Algorithm (DTQA)
Jincheng Zhang
Abstract
This paper presents the Dynamic Topological Quantum Algorithm (DTQA), a novel quantum algorithm designed to dynamically adapt quantum operations based on the system's inherent topological properties. Traditional quantum algorithms often require pre-defined parameters, limiting their flexibility and hindering optimal performance. DTQA addresses this limitation by incorporating a dynamic topology feature, allowing the algorithm to dynamically adjust quantum operations in response to the system's evolving topological structure. The core mechanism involves characterizing the system's topology and then employing a mapping to dynamically modify the quantum state, resulting in enhanced computational capabilities. This paper details the theoretical framework, implementation details, and preliminary results demonstrating the effectiveness of DTQA.