Nonlinear Geometry Tensor Integration and Quantum Computing Association

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

This paper explores the integration of non-linear geometry tensor representations into quantum computing, aiming to develop a novel quantum computation algorithm capable of dynamic state manipulation and a deeper theoretical foundation for the field. The core mechanism involves introducing a dynamic topology tensor, which intricately links geometric tensors with quantum state structure, enhancing stability, controllability, and computational efficiency. This approach offers a fundamentally different pathway to quantum processing compared to existing quantum algorithms. The research investigates the potential of this integration to unlock new capabilities within quantum systems, particularly in the realm of state manipulation and entanglement.

DOI: 10.5281/zenodo.22225743

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