Non-Linear Modal Geometry for Quantum Computing Verification
Jincheng Zhang
Abstract
This paper investigates the potential of non-linear modal geometry as a novel approach to quantum computing verification, aiming to enhance algorithm performance and facilitate more efficient quantum data processing. We propose a new geometric framework predicated on quantum entanglement to accelerate computational processes and leverage entanglement effects for quantum circuit analysis. The core mechanism centers on designing a modal geometry that intrinsically exploits entanglement, thereby providing a robust and efficient verification methodology. This research explores the creation of a quantum algorithm verification framework, incorporating the geometric principles to provide a superior validation process. The study highlights the benefits of this approach in optimizing quantum computation, and represents a promising step towards more reliable and scalable quantum systems.