Dr. Miguel Angel Martín- Delgado

RESEARCH

 

Departamento de Física Teórica I

Facultad de Ciencias Físicas

Universidad Complutense

Departamento de Física Teórica I

Facultad de Ciencias Físicas

Universidad Complutense

 

 

 

 

 

Research Interests

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

Quantum Theory of Information and Computation (99-06).
Numerical Renormalization Group Methods (DMRG) in Condensed Matter , Statistical Mechanics and Elementary Particles (93-06).
Quantum Field Theory in Magnetism: spin chains and spin ladders (95-06).

Below I list the main publications over the last 5 years

[1] Exact Topological Quantum Order in D=3 and Beyond: Branyons and Brane-Net Condensates"
H. Bombin, M.A. Martin-Delgado.
Cond-mat/0607736


[2] Topological Quantum Distillation"
H. Bombin, M.A. Martin-Delgado.
Quant-ph/0605138


[3] Homological Error Correction: Classical and Quantum Codes"
H. Bombin, M.A. Martin-Delgado.
Quant-ph/0605094


[4] Toplogical Quantum Error Correction with Optimal Encoding Rate"
H. Bombin, M.A. Martin-Delgado.
Phys. Rev. A 73, 062303 (2006); Quant-ph/0602063


[5] Relativity and Lorentz Invariance of Entanglement Distillability"
L. Lamata, M.A. Martin-Delgado, E. Solano.
quant-ph/0512081.


[6] Entanglement Distillation Protocols and Number Theory".
H. Bombin, M.A. Martin-Delgado.
Phys. Rev. A72, 032313 (2005); quant-ph/0503013.


[7] Universality Classes of Diagonal Quantum Spin Ladders".
M.A. Martin-Delgado, J. Rodriguez-Laguna, G. Sierra.
Phys. Rev. B 72, 104435 (2005); cond-mat/0411132.


[8] Numerical Computation of Localizable Entanglement in Spin Chains"
M. Popp, F. Verstraete, M.A. Martin-Delgado, J.I. Cirac;
Applied Physics B 82, 225-235, (2006).

[9] Localizable Entanglement". M. Popp, F. Verstraete, M. A. Martin-Delgado, J. I. Cirac.
Phys. Rev. A 71, 042306 (2005); quant-ph/0411123.


[10] Implementation of Spin Hamiltonians in Optical Lattices".
J. J. Garcia-Ripoll, M. A. Martin-Delgado, J. I. Cirac.
Phys. Rev. Lett. 93, 250405 (2004); cond-mat/0404566.


[11] Diverging Entanglement Length in Gapped Quantum Spin Systems"
F. Verstraete, M.A. Martin-Delgado, J.I. Cirac;
Phys. Rev. Lett. 92, 087201 (2004); quant-ph/0311087.


[12] Distillation Protocols for Mixed States of Multilevel Qubits and the Quantum Renormalization
Group"
M.A. Martin-Delgado, M. Navascues;
Eur.Phys.J. D27 (2003) 169-180; quant-ph/0301099.


[13]Single-step distillation protocol with generalized beam splitters"
M.A. Martin-Delgado, M. Navascues;
Physical Review A68, 012322 (2003); quant-ph/0305138.


[14] Entanglement and Concurrence in the BCS State"
M.A. Martin-Delgado.
quant-ph/0207026


[15] Systematic Analysis of Majorization in Quantum Algorithms"
R. Orus, J.I. Latorre, Miguel A. Martin-Delgado; quant-ph/0212094.
Eur.Phys.J. D 29, 119-132 (2004).


[16] "Natural majorization of the Quantum Fourier Transformation in phase-estimation algorithms"
R. Orus, J.I. Latorre, M.A. Martin-Delgado;
Quantum Information Processing 1 (4): 283-302 (2002); quant-ph/0206134.


[17] "Anderson transition in low-dimensional disordered systems driven by nonrandom long-range
hopping"
A. Rodriguez, V.A. Malyshev, G. Sierra, M.A. Martin-Delgado, J. Rodriguez-Laguna, F.
Dominguez-Adame;
Phys. Rev. Lett. 90, 2, 027404 (1-4) (2003); cond-mat/0204496.


[18] "Quantum Chinos Game: winning strategies through quantum °uctuations"
F. Guinea, M.A. Martin-Delgado;
J.Phys. A36 (2003) L197; quant-ph/0201140


[19] "The Majorization Arrow in Quantum Algorithm Design"
J.I. Latorre, M.A. Martin-Delgado;
Phys. Rev. A66, 022305 (2002). quant-ph/0111146


[20] "Information and Computation: Classical and Quantum Aspects"
A. Galindo, M.A. Martin-Delgado.
Rev. Mod. Phys. 74, 347-423 (2002); quant-ph/0112105.
Aceptado en Rev. Mod. Phys. (Junio 2001.)


[21] "A Density Matrix Renormalization Group study of Excitons in Dendrimers"
M.A. Martin-Delgado, J. Rodriguez-Laguna, G. Sierra,
Phys. Rev. B65, 155116 (2002); cond-mat/0012382.


[22] "Absence of weak localization in two-dimensional disordered Frenkel lattices"
A. Rodriguez, M.A. Martin-Delgado, J. Rodriguez-Laguna, G. Sierra,
V.A. Malyshev, F. Dominguez-Adame, J.P. Lemaistre;
J. Lumin. 94, 359 (2001).


[23] "Stripe Ansatzs from Exactly Solved Models"
M.A. Martin-Delgado, M. Roncaglia, G. Sierra;
Phys. Rev. B64, 075117 (2001); cond-mat/0101458.


[24] "Single-Block Renormalization Group: Quantum Mechanical Problems"
M.A. Martin-Delgado, J. Rodriguez-Laguna, G. Sierra;
Nuc. Phys. B601, 569-590 (2001) ; cond-mat/0009474 (2000).


[25] "A Family of Grover's Quantum Searching Algorithms"
Alberto Galindo, Miguel A. Martin-Delgado,
Phys. Rev. A 62, 62303 (2000).


[26] "Exact diagonalisation study of charge order in the quarter-¯lled two-leg ladder system NaV2O5"
A. Langari, M. A. Martin-Delgado, P. Thalmeier,
Phys. Rev. B 63, 144420 (2001); cond-mat/0102007.


[27] "Alternating-Spin Ladders in a Magnetic Field: New Magnetization Plateaux"
A. Langari, M.A. Martin-Delgado,
Phys. Rev. B 62, 11725 (2000); cond-mat/0012278.


[28] "Low Energy Properties of Ferrimagnetic 2-leg Ladders: a Lanczos study"
A. Langari, M.A. Martin-Delgado,
Phys. Rev. B 63, 054432 (2001); cond-mat/0012209.