Dynamic Matrices and Quantum Qubit Arithmetic
Jincheng Zhang
Abstract
This paper investigates the application of dynamic matrices and quantum qubit arithmetic to revolutionize matrix operations. The core focus is the development of a novel non-linear mapping for dynamic matrices, leveraging the power of quantum qubit arithmetic to achieve a form of quantum computation within the context of matrix operations. Mathematical rigor is employed throughout, providing a detailed analysis of the proposed mechanism and its implications for computational efficiency and potential algorithmic advancements. The paper concludes with a validation of the core concepts through rigorous mathematical proofs.