Title: Universal Quantum State Representation (QSR)

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum state representation is a cornerstone of quantum information processing, yet current methods often lack a robust, geometric framework for manipulation and analysis. This paper introduces Universal Quantum State Representation (QSR), a novel system for encoding and manipulating quantum states through a layered, dynamically evolving geometric structure. QSR leverages discrete, high-dimensional geometric transformations to provide a more intuitive and flexible approach compared to traditional methods. We demonstrate the efficacy of QSR through a series of illustrative examples, highlighting its potential to simplify complex quantum computations and facilitate deeper insights into quantum information dynamics. This work provides a foundational framework for advancing quantum state representation and enabling new algorithmic possibilities.

DOI: 10.5281/zenodo.22272308

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