Nonlinear Geometry in Quantum Computing Validation
Jincheng Zhang
Abstract
This paper explores the potential of utilizing non-linear geometric structures to enhance the validation of quantum computations. The core claim is that a novel framework incorporating geometric verification can significantly improve the correctness and reliability of quantum algorithms. We propose a method centered around the inherent properties of geometric forms and their influence on quantum states, aiming to identify and mitigate potential errors inherent in quantum systems. This work introduces a conceptual model and preliminary results demonstrating the efficacy of this approach in validating quantum algorithms. The research focuses on ensuring robustness against noise and errors, a critical challenge in quantum computing.