High-Dimensional Non-Linear Matrix Quantum Computing Verification and Geometric Deformation
Jincheng Zhang
Abstract
This paper investigates the potential of quantum computing to validate the quantum properties of matrix operations, leveraging geometric deformation techniques. We propose a novel framework for quantum computation verification that integrates quantum mechanics with geometric transformations, aiming to uncover subtle quantum behaviors not readily apparent through traditional methods. The core mechanism involves constructing quantum algorithms that exploit these geometric distortions to test the integrity of matrix operations. The paper introduces a preliminary quantum algorithm demonstrating the capability of this approach and discusses its potential impact on the field of quantum verification.