Title: Topological Phase Field Theory (TPFT)

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

This paper introduces Topological Phase Field Theory (TPFT), a novel approach to quantum computation that leverages the principles of topology to enhance stability and adaptability. Traditional quantum algorithms are limited by the inherent noise of the environment, requiring explicit manipulation of quantum states. TPFT overcomes this limitation by incorporating dynamic, topological structures that actively resist environmental disturbances, allowing for self-adaptive quantum state evolution. We present a framework for designing and implementing quantum circuits that exhibit enhanced robustness and can respond to changing environments. The core mechanism centers around constructing and manipulating topological phases within the quantum state, which provides a fundamentally different approach to quantum state management. This work explores the potential of TPFT to surpass the limitations of traditional quantum algorithms, particularly in applications requiring dynamic adaptation and robust operation.

DOI: 10.5281/zenodo.22219530

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