Title: Universal Quantum State Representation via Wavefunction Fragmentation

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

Quantum state representations are a fundamental challenge in quantum information theory, struggling to efficiently encode and process complex quantum systems. Existing methods often fall short in scalability and computational complexity, hindering progress in areas like quantum simulation and optimization. This paper proposes a novel approach to quantum state representation – Wavefunction Fragmentation – that dynamically breaks down the wavefunction into smaller, self-contained fragments. This fragmentation allows for a more efficient and scalable representation, particularly effective for systems exhibiting complex dynamics. We detail a method for implementing this fragmentation, incorporating a sophisticated quantum state embedding algorithm to combine the fragments into a unified representation. The core claim is that this method offers a fundamentally more efficient means of encoding quantum information, enabling advancements in quantum algorithm design and data manipulation. We present preliminary results demonstrating the efficacy of this approach in a simplified quantum system model, showcasing improved computational speed and reduced memory requirements compared to traditional methods.

DOI: 10.5281/zenodo.22327561

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