Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Files

ESTEBAN FOLCH ALEX.pdf (927.59 KB)

Document type

Bachelor thesis

Publication date

2024-06

Publication license

cc-by-nc-nd (c) Esteban, 2024
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/215569

Restricted Boltzmann Machines and their Information Geometry in Quantum Many-Body Problems

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

Abstract

Quantum many-body problems face a scalability challenge, since the wave function scales exponentially with the number of bodies in the system. Fortunately, several machine learning approaches have been recently proposed to overcome this challenge. Specially promising are the Restricted Boltzmann Machines (RBMs), to turn the problem into a manageable computational form. Moreover, information geometry has been studied in RBMs, and the Fisher Matrix has shown to reveal relevant information about the system. Here, we create from scratch a RBM representation of the ground state for the transverse Ising model (short and long-range), and analyze the corresponding Fisher Matrix across different quantum phases, and its potential to signal the phase transition

Description

Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2024, Tutora: Maria Moreno Cardoner

Subject

Problema de molts cossos, Xarxes neuronals (Informàtica), Treballs de fi de grau

Subject (English)

Many-body problem, Neural networks (Computer science), Bachelor's theses

Citation

Collections

Treballs Finals de Grau (TFG) - Física

Citation

ESTEBAN FOLCH, Alex. Restricted Boltzmann Machines and their Information Geometry in Quantum Many-Body Problems. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/215569

Export metadata

JSON - METS

Share record