Description: The study of entanglement in multipartite systems stands as one of the foremost challenges in the interplay of several fields, including
Quantum Information, High Energy Physics and Condensed Matter theory. Individual parties of a quantum system can correlate in ways
which correspond to classes of entanglement which are not well understood, not amenable to computation, and that serve to different
protocoles. Furthermore, a detailed study of entanglement appears as a key ingredient to produce progress in new areas of research such
as holography, topological order or the tensor network technology.
This project aims at deepening our understanding on the emergence of entanglement in a series of sub-projects: Multipartite entanglement
in Quantum Information; Holography and Tensor Networks; Entanglement, geometry and disorder; Continuous Matrix Product States and
Projective Entangled Pairs states; Image Compression; Origin of entanglement in quantum field theory; Quantum simulation of the
fractional quantum Hall effect with cold atoms; Conformal field theory and many body states; and Number theory and quantum physics.
There is quite a lot of cross feeding among the above subjects, which is likely to produce fast progress on some of the proposed lines of
research.
The project is transversal in spirit. It brings together a number of technologies that have been developed in specific areas of research to be
used and advanced in new subjects. An instance of such a relation is the proposed use of tensor networks, created to achieve a better
classical simulation of quantum systems, to describe holography. Another example can be found in the use of the powerful conformal field
theory technology to address quantum information problems. The project also proposes high risk research, such as the study of
Arithmetics using a quantum computer, or the application of tensor networks to the compression of images.
The groups of Madrid and Barcelona have unique characteristics that complement harmoniously by sharing numerous scientific interests
where there has been recently a joint collaboration. This project aims to provide support and stable funding for the collaboration between
two leading groups of Quantum Information in Spain.

Description: The research interests of our group are focused on several aspects of function theory in complex variables and harmonic analysis. More specificaly, we study spaces of holomorphic functions (boundary behaviour, Carleson measures, interpolation, zeros and sampling sets) and singular operators in the context of complex variables.

Real and Functional Analysis Research Group (GARF)

People: Elona Agora (IAM-CONICET); Jorge Antezana (FCE-UNLP); Santiago Boza (Universitat Politècnica de Catalunya); María J. Carro (IP, Universitat de Barcelona); Joan Cerdà (Universitat de Barcelona); Carlos Domingo-Salazar (Ubisoft Barcelona Mobile); Joaquim Martín (Universitat Autònoma de Barcelona); Carmen Ortiz (Universitat Politècnica de Catalunya); José A. Raposo (D.E.P.); Salvador Rodríguez-López (Professor at Stockholm University); Eduard Roure (Universitat de Barcelona); Javier Soria (co-IP, Universitat de Barcelona); Pedro Tradacete (Universidad Carlos III de Madrid)

Description: GARF's main lines of research fall into one of the following fields: Theory of extrapolation of Rubio de Francia; Yano's extrapolation theory; Sobolev optimal embeddings; isoperimetric weights; pseudo-differential operators; Fourier transform and rearrangement invariant spaces; optimal estimates for Hardy's operator; quasi-Banach reticles; doubling measures.
The team's PhD members have an extensive research experience (GARF has enjoyed funding in R&D&i calls since 1991) and a total of 13 doctoral theses have been supervised (4 in the last 5 years).

People: Professors: Joan Bagaria, Enrique Casanovas, Rafael Farré, Joost Joosten, Juan Carlos Martínez.
Doctoral students: Pedro Andrés Estevan, Alejandro Poveda, Eduardo Hermo, Ana de Almeida Gabriel, Nika Pona

Description: The Group works in Mathematical Logic, focusing in Set Theory, Model Theory, Computability Theory and Proof Theory, as well as in applications to other areas of mathematics such as Algebra and General Topology, Computer Science and Software Verification. Since 2005 the Group has worked in close collaboration with the world’s foremost experts in each of these areas, resulting in joint articles published in leading journals in logic and mathematics.

Description: The research of the Stochastic Process group is part of the field of mathematical analysis and some of its applications.
The lines of research are the following:
Equations in stochastic partial derivatives with Gaussian and fractional noises. Analytical and geometric properties of the solutions. Study of the laws of probability and applications.
Stochastic models in continuous time by financial markets. Influence of insider information. Financial bubble models. Fractional volatility models.
Volterra stochastic differential equations, delayed, anticipated, with fractional noise and Lévy.
Stochastic models with delay in epidemiology.
Borwnian Movement Complex: Nearly Safe Approaches.

People: Petia Radeva
Jordi Vitrià
Laura Igual
Simone Balocco
Santi Seguí
Mariella Dimiccoli
Maedeh Aghei
Marc Bolaños
Gabriel de Oliveira
Alejandro Cartas
Estefania Talavera

Description: CVUB is a consolidated research group involving Computer Vision and Machine Learning researchers from the University of Barcelona. Its main goal is to explore novel Computer Vision and Machine Learning algorithms to apply to problems from the real world. CVUB has special interest in designing new end-to-end learning methodologies to overcome open problems in visual recognition like: visual representation and scene understanding, object recognition, egocentric vision, medical imaging and human behaviour analysis.
CVUB research is developed in close collaboration with many research teams from all over the world like MIT (USA), Carnegie-Mellon University (USA), Toronto University (Canada), Bangor University (UK), UPC (Spain), etc. Moreover, CVUB believes that Computer Vision technology should stay very close to the society. It collaborates with and completed many technological transfers to companies like Boston Sci. (USA), GivenImaging (Israel), and hospitals like Hospital "Vall d'Hebron" (Spain), Consorci Sanitari de Terrassa (Spain), University Hospital "Germans Trias i Pujol" (Spain), etc.

Description: Recently, the field of Automatic Learning and the Vision for Computador are living a very dynamic period. The existence of massive data organised in thousands of classes and the apparition of computational resources of high performance down below cost have caused a revolution in the visual learning.

Description: Within the area of Computer Science, the WAI research group is composed by researchers from different areas related to Computer Graphics, Human-Computer Interaction and Artificial Intelligence. Specifically, we work on Volume Visualization of scientific (and medical) data, structured 3D Virtual Worlds, Gamification and Serious Games, Natural Language Processing, Recommenders, Machine Learning/Data Science, and Multi-Agent Systems. Most of our research is applied to Education, Medicine, Personalization, and Social Interaction/Participation.
WAI research group (http://www.ub.edu/wai/) is part of the Language and Computation Center (CLiC) SGR group ( http://clic.ub.edu/en).WAI researchers also belong to the Universitat de Barcelona Institute of Complex Systems (UBICS, http://ubics.ub.edu/) and the Institute of Mathematics of the University of Barcelona (IMUB, http://www.imub.ub.edu/).