Quantum State Graph Topology Analysis

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum State Graphs (QSGs) are a fundamental framework in quantum information theory, representing the entangled states of qubits. Analyzing the topology of QSGs is crucial for understanding their properties and for developing quantum algorithms. This paper introduces a novel approach to QSG topology analysis, leveraging graph theory to effectively characterize and manipulate the structure of QSGs. We propose a method that utilizes graph traversal and connectivity analysis to identify and quantify key topological features, allowing for the optimization of quantum algorithms. The core mechanism focuses on establishing a robust and efficient framework for studying the topology of QSGs, ultimately contributing to advancements in quantum computation and information processing. This research explores how the inherent graph structure of QSGs can be harnessed to simplify complex computations and improve overall performance.

DOI: 10.5281/zenodo.22252847

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