Quantum Entanglement Entropy Compression

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

This paper proposes a novel approach to entropy compression leveraging the unique properties of quantum entanglement. We demonstrate that, through the careful design of entangled states, it is possible to achieve compression rates exceeding those predicted by the classical Shannon limit. The core mechanism relies on encoding information within the quantum state distribution of an entangled state and exploiting the non-classical correlations inherent in entanglement for efficient probability distribution compression. Unlike traditional entropy compression methods which rely on statistical properties of classical information, our approach directly utilizes the correlations provided by entanglement, offering a fundamentally different strategy. We formulate the theoretical framework, outlining the key mathematical concepts and presenting a detailed analysis of the compression process. The central argument is that entanglement allows for a more effective representation of information than is possible with purely classical distributions, leading to a demonstrable advantage in compression. This work challenges the conventional understanding of entropy and compression, suggesting a new paradigm where quantum phenomena can be harnessed to surpass classical limitations. The presented model incorporates the concepts of entropy, entanglement entropy, and quantum state tomography to provide a comprehensive framework for this novel compression technique. The theoretical foundation is built upon the principles of quantum information theory, with a particular focus on the role of entanglement in information processing and storage. ---

DOI: 10.5281/zenodo.22153360

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