Quantum State Multi-Modal Correlation Analysis

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper investigates the intricate correlations within multi-modal quantum states, presenting a novel theoretical framework and analytical methodology. The core of the research lies in applying quantum information theory and statistical physics to model and understand the complex behaviors inherent in multi-modal quantum systems. We aim to move beyond traditional approaches by establishing a robust mathematical framework for quantifying and characterizing multi-modal entanglement and correlations, specifically focusing on scenarios where multiple quantum systems are linked. The developed methods offer a new perspective on manipulating and controlling these systems, with potential implications for quantum computation, quantum communication, and fundamental quantum information theory. The key contributions include a generalized correlation function, a multi-modal entanglement measure, and an approach to analyzing the dynamics of multi-modal quantum systems. The work explores the connections between classical statistical mechanics and quantum entanglement in these systems, providing insights into the emergence of correlations at the quantum level. ---

DOI: 10.5281/zenodo.22340135

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