Quantum Entanglement Entropy Information Theory

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper introduces a novel approach to information theory, leveraging quantum entanglement entropy as a fundamental measure of information. We propose that entanglement entropy can effectively quantify the efficiency of information transmission and provides a theoretical foundation that surpasses the limitations of classical information theory. The core of this work lies in the integration of entanglement entropy with Shannon entropy, establishing a new framework for analyzing information transfer. We explore scenarios where classical information theory struggles to adequately describe the limits of communication due to quantum mechanical effects, specifically entanglement. The paper aims to provide a theoretical underpinning for quantum communication protocols and potentially inform the development of quantum computation. We define key terms and formulate core concepts, focusing on the relationship between entanglement entropy, information content, and the constraints imposed by quantum mechanics. The central argument is that by considering the inherent interconnectedness of entangled systems, we can gain a deeper understanding of information processing at the most fundamental level. ---

DOI: 10.5281/zenodo.22268353

Related papers

Quantum Entanglement Entropy Information Theory (QEIH)

Jincheng Zhang

This paper introduces Quantum Entanglement Entropy Information Theory (QEIH), a novel framework for quantifying and analyzing quantum information transmission based on the fundamental role of quantum entanglement. The core claim of QEIH is that entanglement entropy can serve as a new unit of information, surpassing the limitations of traditional information entropy (Shannon entropy) and offering a more precise measure of quantum information. We posit that entangled quantum systems can be viewed as distributed information sources and propose a method for calculating quantum information transmission efficiency and capacity using entanglement entropy. This approach establishes a new information theory framework specifically tailored to the unique properties of quantum mechanics. The key contribution lies in recognizing entanglement not merely as a correlation but as the foundational element driving information processing within quantum systems, ultimately leading to a more accurate and insightful understanding of quantum communication and computation. The presented framework offers a potential pathway to optimizing quantum information transfer and exploring novel information processing paradigms.

Sep 7, 20260 citations

Information-Theoretic Characterization of Non-Classical Entanglement Entropy

Jincheng Zhang

This paper introduces a novel entropy concept – non-classical entanglement entropy – designed to quantify the complexity and information content of quantum entanglement states. Moving beyond the limitations of classical information theory's entropy definitions, this new metric is fundamentally rooted in the mathematical structure of entangled quantum states. We propose a specific entropy formula that precisely describes the information inherent within entangled systems. The core contribution lies in expanding the scope of information theory, providing a more accurate and nuanced measure for assessing and manipulating quantum information, particularly in the context of quantum information processing. This work aims to establish a foundational framework for understanding and utilizing entanglement as a resource in quantum technologies. ---

Aug 31, 20260 citations

Quantum Entanglement Entropy Compression

Jincheng Zhang

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. ---

Aug 29, 20260 citations

Quantum Entanglement Entropy Coding

Jincheng Zhang

This paper presents a novel approach to entropy coding leveraging the unique properties of quantum entanglement. Traditional information theory, governed by Shannon's theorem, establishes a fundamental limit on data compression. However, quantum entanglement offers the potential to surpass this limit by encoding information within the correlated states of entangled particles. We propose a method termed "Entanglement Entropy Coding" (EEC), which utilizes specifically designed entangled states to represent data. The core principle involves encoding information into the coherence of one entangled particle, which instantaneously influences the coherence of its entangled partner. This mechanism allows for a more efficient representation of data than classical methods. We demonstrate a theoretical framework for EEC, outlining the key mathematical relationships and potential improvements over existing entropy coding techniques. The paper focuses on the theoretical underpinnings of the method, providing a foundational understanding for future research and development. The primary objective is to establish a new paradigm in data compression, exploiting the non-classical correlations inherent in quantum mechanics. The proposed method aims to achieve compression ratios exceeding those predicted by classical information theory, demonstrating the transformative potential of quantum entanglement. The key equations and concepts are presented for clarity and reproducibility.

Aug 31, 20260 citations

Quantum Entanglement Entropy Encoding (QE2E)

Jincheng Zhang

This paper proposes a novel encoding scheme, Quantum Entanglement Entropy Encoding (QE2E), leveraging the fundamental role of quantum entanglement entropy in information processing. The core claim is that entanglement entropy can surpass the capacity limitations imposed by classical channels, offering the potential for enhanced information transmission. QE2E employs a multi-body entanglement-based encoding strategy, meticulously controlling the distribution of entanglement entropy to maximize information transfer efficiency. The novelty lies in recognizing entanglement entropy as a core physical resource, effectively circumventing the constraints of traditional information theory. We present a theoretical framework outlining the key components of the QE2E scheme and explore its potential implications for quantum communication, specifically focusing on improved data transmission rates and resistance to channel impairments. The analysis demonstrates the possibility of achieving coding gains beyond those attainable with conventional methods, predicated on the precise manipulation of entangled states. Further research will focus on the practical implementation challenges and exploring the scalability of this approach.

Sep 3, 20260 citations

Information Entropy's Non-Linear Aggregation, Based on Quantum Entanglement

Jincheng Zhang

This paper explores the potential of quantum entanglement to revolutionize information entropy calculation and analysis. Traditional methods often struggle with the inherent complexity of information systems, necessitating advanced computational techniques. We propose a novel approach – information entropy aggregation via quantum entanglement – that leverages the unique properties of quantum mechanics to achieve unprecedented accuracy and efficiency. The core mechanism centers around establishing a system where information entropy is aggregated through the controlled entanglement of quantum states, offering a fundamentally different pathway to understanding and quantifying information content. This work investigates the theoretical implications of this approach, exploring its potential to overcome limitations of classical approaches and uncover deeper insights into the nature of information.

Sep 6, 20260 citations