Fuzzy C-Means and Explainable AI for Quantum Entanglement Classification and Noise Analysis

Quantum entanglement plays a fundamental role in quantum mechanics, with applications in quantum computing. This study introduces a new approach that integrates quantum simulations, noise analysis, and fuzzy clustering to classify and evaluate the stability of quantum entangled states under noisy co...

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Detalles Bibliográficos
Autor: Marín Díaz, Gabriel
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universidad Europea (UEM)
Repositorio:ABACUS. Repositorio de Producción Científica
Idioma:inglés
OAI Identifier:oai:abacus.universidadeuropea.com:11268/16658
Acceso en línea:https://hdl.handle.net/11268/16658
Access Level:acceso abierto
Palabra clave:Teoría cuántica
Física
Inteligencia artificial
Goal 7: Ensure access to affordable, reliable, sustainable and modern energy
Descripción
Sumario:Quantum entanglement plays a fundamental role in quantum mechanics, with applications in quantum computing. This study introduces a new approach that integrates quantum simulations, noise analysis, and fuzzy clustering to classify and evaluate the stability of quantum entangled states under noisy conditions. The Fuzzy C-Means clustering model (FCM) is applied to identify different categories of quantum states based on fidelity and entropy trends, allowing for a structured assessment of the impact of noise. The presented methodology follows five key phases: a simulation of the Bell state, the introduction of the noise channel (depolarization and phase damping), noise suppression using corrective operators, clustering-based state classification, and interpretability analysis using Explainable Artificial Intelligence (XAI) techniques.