Quantum Chaotic Generator and Lossless Data Compression
Jincheng Zhang
Abstract
This paper presents a novel approach to data compression utilizing the principles of quantum chaos. We propose a system leveraging quantum bits (qubits) and quantum gates to generate high-quality, high-randomness pseudorandom number sequences. The core concept involves harnessing the deterministic yet unpredictable nature of quantum chaos, combined with quantum entanglement and quantum teleportation, to achieve lossless data compression. The system's design addresses the limitations of traditional chaotic generators, particularly their susceptibility to prediction based on initial conditions. The integration of quantum mechanics introduces an inherent level of complexity that significantly enhances the randomness of the generated sequences. We detail the mathematical framework underlying the system, including the equations governing the chaotic system and the protocols for quantum entanglement and teleportation. The proposed method offers a pathway towards secure and efficient data compression, potentially revolutionizing data storage and transmission technologies. The primary focus is on the theoretical development and mathematical formulation of the system, omitting experimental validation.