Geometric Quantum State Representation with Adaptive Density

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper introduces a novel geometric representation of quantum states, termed "Geometric Quantum State Representation with Adaptive Density," designed to capture and leverage quantum information more effectively. Traditional representations often lack the ability to dynamically adapt to subtle variations in the quantum state, hindering optimal information processing. We propose a system that utilizes a geometric density adaptation algorithm, which adjusts the representation's density based on observed quantum states, offering a dynamic and adaptable framework for quantum state analysis. The core mechanism centers on the intelligent mapping of quantum states onto a geometric space, enhancing information capture and potentially enabling new functionalities. This paper details the algorithmic design, discusses the theoretical foundations, and presents preliminary results demonstrating the superior performance of this representation compared to static representations.

DOI: 10.5281/zenodo.22186924

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