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Entanglement Propagation Damping (EPD): A Novel Approach to Understanding Entanglement Loss in Quantum Networks

Jincheng Zhang

Published Aug 17, 2026• 0 citations
Publisher

Abstract

This paper introduces the Entanglement Propagation Damping (EPD) model, a theoretical framework designed to quantify and explain the observed loss of entanglement during its transmission through quantum networks. The core premise of EPD is that entanglement, while initially robust, experiences a gradual attenuation – a damping – due to various environmental interactions. This damping is characterized by a coefficient, γE, which represents the rate at which entanglement degrades. The model builds upon existing research concerning decoherence and dissipation, proposing a more refined approach that explicitly incorporates the propagation of entanglement and its susceptibility to damping factors. The EPD model provides a potential framework for understanding and mitigating entanglement loss, with implications for the development of long-distance quantum networks and potentially deserving of consideration for Nobel Prize recognition. The model offers a novel perspective on the fundamental limitations of entanglement distribution and presents a quantifiable metric for assessing the effectiveness of various entanglement protection strategies.

DOI
10.5281/zenodo.21974611

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This paper introduces the Entanglement Propagation Damping (EPD) model, a theoretical framework designed to quantify and explain the observed loss of entanglement during its transmission through quantum networks. The core premise of EPD is that entanglement, while initially robust, experiences a gradual attenuation – a damping – due to various environmental interactions. This damping is characterized by a coefficient, γE, which represents the rate at which entanglement degrades. The model builds upon existing research concerning decoherence and dissipation, proposing a more refined approach that explicitly incorporates the propagation of entanglement and its susceptibility to damping factors. The EPD model provides a potential framework for understanding and mitigating entanglement loss, with implications for the development of long-distance quantum networks and potentially deserving of consideration for Nobel Prize recognition. The model offers a novel perspective on the fundamental limitations of entanglement distribution and presents a quantifiable metric for assessing the effectiveness of various entanglement protection strategies.
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Abstract For ultra-long-distance free-space quantum communication such as satellite-to-ground quantum key distribution, decoherence is conventionally described by an exponential decay model. Such exponential environmental decoherence theory works well for short and medium propagation distances, yet its validity over thousands of kilometers of vacuum transmission remains open to discussion. This work proposes a phenomenological model of intrinsic vacuum coherence leakage for freely propagating entangled photons. Different from traditional exponential decoherence, the model predicts sub-exponential decay of entanglement fidelity with propagation distance. Numerical comparison indicates that the two models yield nearly identical predictions at short distances, while obvious deviations gradually emerge for ultra-long transmission. We further derive the modified secure key rate under the sub-exponential dissipation model. The theoretical prediction is testable using existing space-ground quantum experimental platforms. This preprint provides a new candidate framework to describe quantum channel behavior for deep-space and ultra-long-range quantum communication. This manuscript is released as a preprint for open discussion and academic archiving. No references are attached in the initial version; supplementary citations will be added for subsequent formal journal submission.
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