Title: Non-Standard Quantum State Representation: Entanglement-Driven Geometry

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper investigates the potential of a novel quantum state representation, termed the "Geometry-Aware Entanglement Metric," to provide a deeper understanding of entanglement dynamics. Traditional quantum state representations often lack explicit incorporation of the geometry inherent in the entanglement space, hindering our ability to fully characterize and predict entanglement behavior. We propose a new representation that leverages the curvature of the entanglement space as a key metric, allowing for a more comprehensive analysis of entanglement correlations. The proposed metric, coupled with a refined entanglement analysis technique, offers a potential pathway to unlocking new insights into the fundamental properties of entanglement. This work addresses a long-standing challenge in quantum information theory by introducing a fundamentally different approach to representing and manipulating quantum states.

DOI: 10.5281/zenodo.22202796

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