Quantum Information Storage of Non-Linear Matrices and Algorithms
Jincheng Zhang
Abstract
Quantum information storage represents a fundamental shift in data representation, offering unprecedented capabilities for computation and communication. This paper explores the potential of utilizing non-linear matrix structures to revolutionize quantum information storage and retrieval. We propose a novel quantum information storage architecture predicated on the unique properties of these matrices, and subsequently, design specific algorithms tailored to the inherent characteristics of the stored quantum states. The core claim of this work centers on the design of a quantum state storage and retrieval system leveraging the inherent non-linearity of these matrices, providing a pathway towards more flexible and powerful quantum computing paradigms. The study delves into the mathematical foundations of this approach, focusing on the optimization of quantum state transformations and the development of algorithms to efficiently access and manipulate stored quantum information. This research aims to advance the practical implementation of quantum information storage, addressing limitations inherent in current approaches.