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Carlos Palazuelos

Institution: Universidad Complutense de Madrid

Position: Ramón y Cajal

Office: 401        Phone:+34 912999 781

E-mail: carlospalazuelos()icmat.es

Personal Webpage

 

Biographical Review

Carlos Palazuelos was born in Madrid (Spain) in 1979. He obtained a PhD in Mathematics at Universidad Complutense de Madrid in 2009. He spent one year (2010) at the University of Illinois at Urbana-Champaign as a visiting assistant professor. In 2011 we joined the CSIC-ICMAT with a Juan de la Cierva contract. From December 2013 on, he enjoys a Ramon y Cajal contract at Universidad Complutense de Madrid-ICMAT.

The main topics of his research are functional analysis and quantum information theory. Most of his work is focused on the applications of the operator space theory (a noncommutative analogue to Banach space theory) to quantum information theory; in particular to the theory of Bell inequalities, quantum entanglement and quantum channels. Part of this work is very closely related to certain problems in the field of operator algebras. Some of the works in this line can be found in journals like Communications in Mathematical Physics, Advances in Mathematics, Physical Review Letters and Computational Complexity. Another important research line of Carlos’ work is noncommutative Harmonic Analysis. Specifically, some of the most recent works by Carlos are about hypercontractivity in von Neumann algebras. Some works in this line have been published in Annales Scientifiques de l'École Normale Supérieure and Memoirs of American Mathematical Society.

 

Research Interest

 Functional Analysis and Quantum Information Theory

Curriculum Vitae

Docencia (Teaching):

  1. Course 2007-2008, Análisis de Variable Real, Facultad de CC. Matemáticas, Universidad Complutense de Madrid.
  2. Spring 2010, MATH 231: Calculus II, University of Illinois at Urbana-Champaign.
  3. Course 2011-2012, Matemáticas I, Ingeniería Química, Facultad de Ciencias, Universidad Autónoma de Madrid.
  4. Course 2012-2013, Introduction to quantum information theory, Curso de doctorado UCM (ICMAT-Facultad de C.C. Matemáticas de la UCM).
  5. Course 2013-2014. Cálculo Integral, Doble grado: Matemáticas-Física y Matemáticas-Informática. Facultad de CC. Matemáticas, Universidad Complutense de Madrid.
  6. Curso 2014-2015. Métodos Matemáticos de la Ingeniería, Grado en Ingeniería Informática. Facultad de Informática, Universidad Complutense de Madrid.
  7. Curso 2015-2016. Métodos Matemáticos de la Ingeniería, Grado en Ingeniería Informática. Facultad de Informática, Universidad Complutense de Madrid.
  8. Curso 2015-2016. Espacios de Banach, Máster en Matemáticas Avanzadas. Facultad de CC. Matemáticas, Universidad Complutense de Madrid.

* July 2016, Quantum nonlocality, tensor norms and operator spaces, International Graduate Student Summer School, University of Zhejiang, Hangzhou (China).

Publications

Some recent publications

  1. "Hypercontractivity for free products" (with M. Junge, J. Parcet, M. Perrin and E. Ricard). Annales Scientifiques de l'École Normale Supérieure, 48 (4) 861-889 (2015).
  2. "Large bipartite Bell violations with dichotomic measurements" (with Z. Yin).  Physical Review A 92, 052313 (2015).
  3. "Survey on Nonlocal Games and Operator Space Theory" (with T. Vidick).  Journal of Mathematical Physics 57, 015220 (2016) (Special Issue: Operator Algebras and Quantum Information Theory).
  4. "CB-norm estimates for maps between noncommutative Lp-spaces and quantum channel theory" (with M. Junge). To appear in International Mathematics Research Notices. Available in: arXiv:1407.7684.
  5. "Hypercontractivity in group von Neumann algebras" (with M. Junge, J. Parcet, M. Perrin). To appear in Memoirs of American Mathematical Society. Available in: arXiv:1304.5789.
  6. "Sampling quantum nonlocal correlations with high probability" (with C. González-Guillén, C. H. Jiménez, I. Villanueva). To appear in Communications in Mathematical Physics. Available in: arXiv:1412.4010.