Title: Universal Quantum State Representation via Fractal Geometry

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper investigates the potential of utilizing fractal geometry to represent quantum states, aiming to overcome limitations of existing encoding schemes. The core claim is that a novel representation based on fractal patterns can facilitate efficient encoding and manipulation of quantum states, specifically by enabling the representation of complex correlations. We explore the mathematical foundations of this approach, detailing the design of a fractal structure and its associated properties. The paper presents preliminary results demonstrating the capacity for encoding and manipulating quantum states using this framework, offering a potential advancement in quantum information theory. Keywords: Quantum State Representation, Fractal Geometry, Quantum Entanglement, Information Theory, Representation Theory.

DOI: 10.5281/zenodo.22199609

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