Geometric Phase Field Evolution via Quantum Iteration

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper investigates the application of quantum iteration to refine geometric phase fields, focusing on enhancing exploration of the phase space through quantum entanglement. The core challenge lies in navigating complex, multi-dimensional phase fields, where conventional iterative methods often struggle to escape local minima. We propose a novel quantum-inspired iterative algorithm predicated on entanglement, designed to identify and refine key points within the phase space, ultimately leading to improved convergence and robustness. The algorithm's mechanism centers around leveraging entanglement to facilitate a more efficient and targeted search for optimal phase field configurations. This work introduces a fundamentally new approach to phase field refinement, potentially offering significant advantages in computational efficiency and the ability to overcome limitations inherent in traditional iterative techniques.

DOI: 10.5281/zenodo.22272366

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