Title: Dynamical Topology for Variational Quantum Algorithms

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

Dynamical Topology for Variational Quantum Algorithms (DT-VQA) introduces a fundamentally new approach to variational quantum algorithm design, focusing on dynamically evolving topological connections. This paper proposes a framework where the topology of the quantum circuit is continuously adjusted based on the outcomes of a quantum simulation, optimizing circuit parameters through a learned optimization process. We present a novel algorithm that utilizes topological connectivity to guide the design of variational quantum circuits, aiming to improve the efficiency and accuracy of quantum simulations. Traditional variational quantum algorithms often suffer from limitations in adaptability and sensitivity to initial conditions, necessitating complex and computationally expensive parameter adjustments. DT-VQA addresses these challenges by incorporating topology into the optimization loop, allowing for a more flexible and potentially more efficient search space. The core mechanism involves constructing a dynamic, evolving topology that adapts to the simulation results, promoting a more robust and accurate solution. This work demonstrates the effectiveness of this approach through theoretical analysis and preliminary simulations, showcasing potential improvements in the performance of variational quantum algorithms.

DOI: 10.5281/zenodo.22156681

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