Miguel Ángel Martín-Delgado
Catedrático de Física Teórica

Departamento de Física Teórica I
Facultad de Ciencias Físicas
Universidad Complutense de Madrid

Office: 8
Email: mardel@miranda.fis.ucm.es
Phone: +34 91394-4526

Research Interests

These are the main fields I have been working in during the last years:

  1. Quantum Theory of Information and Computation 1999 - present.
  2. Numerical Renormalization Group Methods (DMRG) in Condensed Matter , Statistical Mechanics and Elementary Particles 1993 - present.
  3. Quantum Field Theory in Magnetism: spin chains and spin ladders 1995 - present.

My publications listed in Google Scholar. Below I list some of my main publications over the last 10 years:

[1] “Topological Quantum Distillation”
H. Bombin and M. A. Martin-Delgado; Phys. Rev. Lett. 97.18 (2006): 180501.

[2] “Topological Computation without Braiding”
H. Bombin and M. A. Martin-Delgado; Phys. Rev. Lett., 98.16 (2007): 160502.

[3] “Quantum computations on a topologically encoded qubit”
D. Nigg, M. Muller, E. A. Martinez, P. Schindler, M. Hennrich, T. Monz, M. A. Martin-Delgado, R. Blatt; SCIENCE 345.6194 (2014): 302-305. Last two authors contributed equally.

[4] “Uhlmann Phase as a Topological Measure for One-Dimensional Fermion Systems”
O. Viyuela, A. Rivas, M. A. Martin-Delgado; Phys. Rev. Lett. 112.13 (2014): 130401.

[5] “Two-Dimensional Density-Matrix Topological Fermionic Phases: Topological Uhlmann Numbers”
O. Viyuela, A. Rivas, M. A. Martin-Delgado; Phys. Rev. Lett. 113.7 (2014): 076408.

[6] “Non-Abelian Optical Lattices: Anomalous Quantum Hall Effect and Dirac Fermions”
N. Goldman, A. Kubasiak, A. Bermudez, P. Gaspard, M. Lewenstein, and M. A. Martin-Delgado; Phys. Rev. Lett. 103.3 (2009): 035301.

[7] “Wilson Fermions and Axion, Electrodynamics in Optical Lattices”
A. Bermudez, L. Mazza, M. Rizzi, N. Goldman, M. Lewenstein, and M. A. Martin-Delgado; Phys. Rev. Lett. 105.19 (2010): 190404.

[8] “Topology-Induced Anomalous Defect Production by Crossing a Quantum Critical Point”
A. Bermudez, D.Patanè, L. Amico, and M. A. Martin-Delgado; Phys. Rev. Lett., 102.13 (2009): 135702.

[9] “Error Threshold for Color Codes and Random Three-Body Ising Models”
Helmut G. Katzgraber, H. Bombin, and M. A. Martin-Delgado; Phys. Rev. Lett., 103.9 (2009): 090501.

[10] “Self-correcting quantum computers”
H Bombin, R W Chhajlany, M Horodecki and M. A. Martin-Delgado; New J. Phys., 15.5 (2013): 055023.


Here I list some of the books written and edited during these years:

[1] "Theory of Quantum Computation, Communication, and Cryptography: 6th Conference, TQC 2011"

Editors: Dave Bacon, Miguel A. Martin-Delgado, Martin Roetteler, Lecture Notes in Computer Science.
Springer, 2014. ISBN: 978-3-642-54428-6 (Print) 978-3-642-54429-3 (Online).

[2] "Meeting on Fundamental Physics"

Alberto Galindo, Editors: R. F. Alvarez-Estrada, A. Dobado, L.A. Fernandez, M.A. Martin-Delgado, A. Muñoz.
Madrid: Aula Documental, 2004. ISBN: 84-688-8993-8.

[3] "The Density Matrix Renormalization Group, Quantum Groups and Conformal Field Theory"

G. Sierra y M.A. Martin-Delgado, Contribution to the book "The Exact Renormalization Group Method",
edited by Y. Kubishing et al. World Scientic (1999).

[4] "A Recurrent Variational Ansatz"

M. A. Martin-Delgado y G. Sierra, in "The Density Matrix Renormalization Group",
Lecture Notes in Physics, edited by I. Peschel, K. Hallberg y X.Wang, Springer-Verlag (1999).

[5] "The Renormalization Group Method Applied to Quantum Lattice Hamiltonians"

M.A. Martín-Delgado, Contribution to the book, "Strongly Correlated Magnetic and Superconducting Systems",
Lecture Notes in Physics, vol. 478, Springer-Verlag (1997).

[6] "Quantum electron liquids and high-\( T_c \) superconductivity"

J. Gonzalez, M.A. Martin-Delgado, G. Sierra y A. H. Vozmediano,
Lecture Notes in Physics vol. m38 , Springer-Verlag (1995).


Curso de Información y Computación Cuántica
Alberto Galindo Tixaire, Miguel Ángel Martín-Delgado, Ángel Rivas
Cursos anteriores: 2014-15, 13-14, 12-13, 11-12, 10-11, 09-10, 08-09, 07-08, 06-07
Física Cuántica II
Miguel Ángel Martín-Delgado
Cursos anteriores: 2015-16, 14-15, 13-14, 12-13, 11-12
Física Cuántica I
Miguel Ángel Martín-Delgado
Mecánica Cuántica
Miguel Ángel Martín-Delgado

Contributions to Congresses

These are some of the contributions I have made in several national and international congresses:

  1. “Symmetry-protected Topological Orders at Finite Temperature”, NCTS Conference on AdS/CFT, Entanglement, and Topological Aspects of Quantum Matter. OPENING TALK. (National Tsing Hua University, Taiwan, 2014-12-08)
  2. International Symposium on “The Legacy of Alan Turing”; October 23 - 24, 2012; Fundacion Ramon Areces, Madrid, Spain. Invited Talk: “Alan Turing and the Limits of Computation”
  3. International Conference on “Quantum Field Theory Aspects of Condensed Matter Physics”; September 6 - 9, 2011; Laboratori Nazionali di Frascati – INFN, Italy. Invited Talk: “An Introduction to Topological Insultators and the KZ Anomaly”
  4. "The Second International Conference on Quantum Information and Technology (ICQIT)”, National Institute of Informatics NII, Tokyo (Japan); October 2010. Invited Talk: ”Self-Correcting Quantum Devices: New Physical Aspects”
  5. International Workshop on Density Matrix Renormalization Group and other Advances in Numercial Renormalization Group Methods, August 23 – September 3, 2010, Beijing (China). Conferencia Invitada: “DMRG Simulations of 3-Body Physics and Many-Body Interactions in Ion-Traps.” Chairman of the Session: “Tensor Renormalization”
  6. QIon 2010, Workshop on Quantum Information and Quantum Dynamics in Ion Traps, held at Tel-Aviv (Israel) from 25th to 29th of April, 2010, Conferencia Invitada: “Non-standard phases of matter and many-body interactions in ion-traps.”
  7. ICREA Workshop on “Quantum Gauge Theories and Ultracold Atoms”. September 2009, Sant Benet, Barcelona (Spain). Coordinator Organizer: Maciej Lewenstein (ICFO). Invited Speakers: W.D. Phillips (NIST, Gaithersburg); J. Dalibard (ENS); Y. Hatsugai (University of Tsukuba); I. Bloch (Universität Mainz); H.-P. Buchler (Stuttgart); S. Das Sarma (Maryland); M.A. Martin-Delgado (Madrid); I. Spielman (NIST); N. Goldman (Bruxelles); X.-G. Wen (MIT, Cambridge); M.P.A. Fisher (Microsoft Q); G. Juzelinas (Vilnius); I. Cirac (MPI, Garching); E. Cornell (NIST); S. Sachdev (Harvard); Ch. Clark (NIST); C. Lhuillier (Paris); P. Zoller (Innsbruck); S. Jochim (Heidelberg): B. Douot (Paris); G. Munster (Munster)
  8. BEC 2009 Bose-Einstein Condensation 2009 “Frontiers in Quantum Gases”. Sant Feliu de Guixols (Costa Brava) Spain 05 - 11 September 2009. Chaired by: Chair: Peter Zoller (University of Innsbruck, IQOQI) Vicechair: Tilman Esslinger (ETH, Zurich) Local scientific organizers: Maciej Lewenstein (ICREA and ICFO-Institute for Photonic Sciences)
  9. Biennial International Conference: Quantum Theory and Symmetries 6 20-25 July 2009, Department of Physics and Astronomy, University of Kentucky. Invited Talk: "Toplogical Color Codes: Quantum Computation and Brane-Net Condensates", M.A. Martin-Delgado
  10. SCALA Conference 2009; “International Conference on Scalable Quantum Computing with Light and Atoms”. 15-22 February, Cortina D’Ampezzo, Italy (2009). Final conference of the FP6 Integrated project SCALA. (M.A. Martin-Delgado, invited talk: “Quantum Two-Body Hamiltonians for Topological Color Codes”).