Quantum Arrangement Entropy (QAE)

Jincheng Zhang

Published Aug 17, 2026• 0 citations

Abstract

This paper introduces the concept of Quantum Arrangement Entropy (QAE), a novel approach to quantifying the structural organization within complex quantum systems. Traditional entropy measures, such as Shannon entropy, primarily focus on the number of microstates – the number of distinct arrangements of particles – describing a system. However, this perspective often neglects the inherent order and relationships between these states, particularly in quantum systems where entanglement and correlations play a crucial role. QAE expands upon this by incorporating a 'structure entropy' component, denoted as *SA*, designed to specifically capture the arrangement and relationships between the possible quantum states. The paper outlines the theoretical framework for QAE, detailing the mathematical formulation and the underlying assumptions. It argues that QAE offers a more complete and nuanced understanding of quantum systems, particularly those exhibiting complex correlations and multi-body interactions, and highlights its potential significance for future research and theoretical advancements within quantum information theory and complexity science. The core idea is to move beyond simply counting states and to directly measure the degree of organized structure within a quantum system's state space. ---

DOI: 10.5281/zenodo.21974497

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