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Autor Martín-Delgado Alcántara, Miguel Ángel |
Documentos disponibles escritos por este autor (45)
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Rodriguez, A. ; Martín-Delgado Alcántara, Miguel Ángel ; Rodriguez-Laguna, J. ; Sierra, G. ; Malyshev, Andrey ; Domínguez-Adame Acosta, Francisco ; Lemaistre, I. J. | Elsevier Science BV | 2001-12The standard one-parameter scaling theory predicts that all eigenstates in two-dimensional random lattices are weakly localized. We show that this claim fails in two-dimensional dipolar Frenkel exciton systems. The linear energy dispersion at th[...]![]()
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The 75th anniversary of Turing’s seminal paper and his centennial year anniversary occur in 2011 and 2012, respectively. It is natural to review and assess Turing’s contributions in diverse fields in the light of new developments that his though[...]![]()
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Mazza, Leonardo ; Bermudez, Alejandro ; Goldman, Nathan ; Rizzi, Matteo ; Martín-Delgado Alcántara, Miguel Ángel ; Lewenstein, Maciej | IOP Publishing | 2012-01-31We present a proposal for a versatile cold-atom-based quantum simulator of relativistic fermionic theories and topological insulators in arbitrary dimensions. The setup consists of a spin-independent optical lattice that traps a collection of hy[...]![]()
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Rodriguez, A. ; Malyshev, Andrey ; Sierra, G. ; Martín-Delgado Alcántara, Miguel Ángel ; Rodriguez-Laguna, J. ; Domínguez-Adame Acosta, Francisco | American Physical Society | 2003-01-17The single-parameter scaling hypothesis predicts the absence of delocalized states for noninteracting quasiparticles in low-dimensional disordered systems. We show analytically, using a supersymmetric method combined with a renormalization group[...]![]()
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We construct a new model of two-dimensional quantum spin systems that combines intrinsic topological orders and a global symmetry called ?avour symmetry. It is referred as the bilayer Doubled Semion model (bDS) and is an instance of symmetry-enr[...]![]()
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Viyuela García, Óscar ; Fu, Liang ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2018-01-05We study the phase diagram and edge states of a two-dimensional p-wave superconductor with longrange hopping and pairing amplitudes. New topological phases and quasiparticles different from the usual short-range model are obtained. When both hop[...]![]()
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Bermúdez, A. ; Martín-Delgado Alcántara, Miguel Ángel ; Luis Aina, Alfredo | American Physical Society | 2008-06-11We study a relativistic spin-1/2 fermion subjected to a Dirac oscillator coupling and a constant magnetic field. An interplay between opposed chirality interactions culminates in the appearance of a relativistic quantum phase transition, which c[...]![]()
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Bermúdez, A. ; Porras Torres, Diego ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2009-06We propose and theoretically analyze an experimental configuration in which lasers induce three-spin interactions between trapped ions. By properly choosing the intensities and frequencies of the lasers, three-spin couplings may be dominant or c[...]![]()
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Rivas Vargas, Ángel ; Viyuela García, Óscar ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2013-10-31Thermal noise can destroy topological insulators (TI). However, we demonstrate how TIs can be made stable in dissipative systems. To that aim, we introduce the notion of band Liouvillian as the dissipative counterpart of band Hamiltonian, and sh[...]![]()
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We derive a master equation that allows us to study non-equilibrium dynamics of a quantum antiferromagnet. By resorting to spin-wave theory, we obtain a closed analytic form for the magnon decay rates. These turn out to be closely related to for[...]![]()
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Andrist, Ruben S. ; Katzgraber, Helmut J. ; Bombin, H ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2016-07-12Topological quantum error correction codes are currently among the most promising candidates for efficiently dealing with the decoherence effects inherently present in quantum devices. Numerically, their theoretical error threshold can be calcul[...]![]()
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Viyuela García, Óscar ; Rivas Vargas, Ángel ; Martín-Delgado Alcántara, Miguel Ángel | IOP Publishing | 2012-03-30We have studied the dynamics of a generalized toric code based on qudits at finite temperature by finding the master equation coupling the code’s degrees of freedom to a thermal bath. We find that in the case of qutrits, new types of anyons and [...]![]()
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We introduce the characterization of a class of quantum PageRank algorithms in a scenario in which some kind of quantum network is realizable out of the current classical internet web, but no quantum computer is yet available. This class represe[...]![]()
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Ortiz Martín, Laura ; Varona Angulo, Santiago ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2018-02-01We study the localization and oscillation properties of the Majorana fermions that arise in a two-dimensional electron gas (2DEG) with spin-orbit coupling (SOC) and a Zeeman field coupled with a d-wave superconductor. Despite the angular depende[...]![]()
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We introduce the concept of nested topological order in a class of exact quantum lattice Hamiltonian models with non-Abelian discrete gauge symmetry. The topological order present in the models can be partially destroyed by introducing a gauge s[...]![]()
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Viyuela, O. ; Rivas, A. ; Gasparinetti, S. ; Wallraff, A. ; Filipp, S. ; Martín-Delgado Alcántara, Miguel Ángel | Nature Publishing Group | 2018-02-12Topological insulators and superconductors at finite temperature can be characterized by the topological Uhlmann phase. However, a direct experimental measurement of this invariant has remained elusive in condensed matter systems. Here, we repor[...]![]()
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We construct a descriptive toy model that considers quantum effects on biological evolution starting from Chaitin’s classical framework. There are smart evolution scenarios in which a quantum world is as favorable as classical worlds for evoluti[...]![]()
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Andrist, Ruben S. ; Bombin, H. ; Katzgraber, Helmut G. ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2012-05-14A promising approach to overcome decoherence in quantum computing schemes is to perform active quantum error correction using topology. Topological subsystem codes incorporate both the benefits of topological and subsystem codes, allowing for er[...]![]()
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Moreno Casares, Pablo Antonio ; Martín-Delgado Alcántara, Miguel Ángel | IOP publishing ltd | 2020-07Adversarial attacks represent a serious menace for learning algorithms and may compromise the security of future autonomous systems. A theorem by Khoury and Hadfield-Menell (KH), provides sufficient conditions to guarantee the robustness of acti[...]![]()
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De las Cuevas, G. ; Dürt, W. ; Van den Nest, M. ; Martín-Delgado Alcántara, Miguel Ángel | IOP Publishing | 2011-09-09We give efficient quantum algorithms to estimate the partition function of (i) the six-vertex model on a two-dimensional (2D) square lattice, (ii) the Ising model with magnetic fields on a planar graph, (iii) the Potts model on a quasi-2D square[...]![]()
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Nigg, Daniel ; Müller, Markus ; Martínez, Esteban A. ; Schindler, Philipp ; Hennrich, Markus ; Monz, Thomas ; Martín-Delgado Alcántara, Miguel Ángel ; Blatt, Rainer | Amer Assoc Advancement Science | 2014-07-18The construction of a quantum computer remains a fundamental scientific and technological challenge, in particular due to unavoidable noise. Quantum states and operations can be protected from errors using protocols for fault-tolerant quantum co[...]![]()
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Paparo, G.D. ; Müller, Markus ; Comellas, F. ; Martín-Delgado Alcántara, Miguel Ángel | Springer Heidelberg | 2014-07-22We review the main findings on the ranking capabilities of the recently proposed Quantum PageRank algorithm [1, 2] applied to large complex networks. The algorithm has been shown to identify unambiguously the underlying topology of the network a[...]![]()
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Paparo, Giuseppe Davide ; Müller, Markus ; Comellas, Francesc ; Martín-Delgado Alcántara, Miguel Ángel | Nature Publishing Group | 2013-10-04We investigate the behaviour of the recently proposed Quantum PageRank algorithm, in large complex networks. We find that the algorithm is able to univocally reveal the underlying topology of the network and to identify and order the most releva[...]![]()
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Díaz de la Cruz, J.M. ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2014-03-19We introduce quantum information engines that extract work from quantum states and a single thermal reservoir. They may operate under three general conditions—(1) unitarily steered evolution (US), driven by a restricted set of available Hamilton[...]![]()
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Dauphin, Alexander ; Müller, Markus ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2016-04-11We propose a realistic scheme to quantum simulate the so-far experimentally unobserved topological Mott insulator phase-an interaction-driven topological insulator-using cold atoms in an optical Lieb lattice. To this end, we study a system of sp[...]![]()
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Davide Paparo, Giuseppe ; Dunjko, Vedran ; Makmal, Adi ; Martín-Delgado Alcántara, Miguel Ángel ; Briegel, Hans J. | American Physical Society (APS) | 2014-06-08Can quantum mechanics help us build intelligent learning agents? A defining signature of intelligent behavior is the capacity to learn from experience. However, a major bottleneck for agents to learn in reallife situations is the size and comple[...]![]()
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Goldman, N. ; Satija, I. ; Nikolic, P. ; Bermúdez, A. ; Martín-Delgado Alcántara, Miguel Ángel ; Lewenstein, M. ; Spielman, I.B. | American Physical Society | 2010-12-16We lay out an experiment to realize time-reversal invariant topological insulators in alkali atomic gases. We introduce an original method to synthesize a gauge field in the near field of an atom chip, which effectively mimics the effects of spi[...]![]()
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Weinfurtner, Silke ; De las Cuevas, Gemma ; Martín-Delgado Alcántara, Miguel Ángel ; Briegel, Hans J. | IOP publishing ltd | 2014-03-07We present a new description of discrete space-time in 1+1 dimensions in terms of a set of elementary geometrical units that represent its independent classical degrees of freedom. This is achieved by means of a binary encoding that is ergodic i[...]![]()
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Dauphin, Alexander ; Müller, Markus ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2012-11-20In this work we consider a system of spinless fermions with nearest and next-to-nearest neighbor repulsive Hubbard interactions on a honeycomb lattice, and propose and analyze a realistic scheme for analog quantum simulation of this model with c[...]![]()
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Cats, P. ; Quelle, A. ; Viyuela, O. ; Martín-Delgado Alcántara, Miguel Ángel ; Morais Smith, C. | American Physical Society | 2018-03-12We find a series of topological phase transitions of increasing order, beyond the more standard second-order phase transition in a one-dimensional topological superconductor. The jumps in the order of the transitions depend on the range of the p[...]![]()
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Bombin, H. ; Ruben, S. Andrist ; Masayuki, Ohzeki ; Katzgraber, Helmut G. ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society (APS) | 2012-04-30The inevitable presence of decoherence effects in systems suitable for quantum computation necessitates effective error-correction schemes to protect information from noise. We compute the stability of the toric code to depolarization by mapping[...]![]()
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We have applied the recently developed theory of topological Uhlmann numbers to a representative model of a topological insulator in two dimensions, the Qi-Wu-Zhang model. We have found a stable symmetry-protected topological phase under externa[...]![]()
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Jeskel, Jan ; Rivas, Ángel ; Ahmed, Muhammad H. ; Martín-Delgado Alcántara, Miguel Ángel ; Cole, Jared H. | IOP publishing ltd | 2018-09-18The dynamics and thermal equilibrium of spin waves (magnons) in a quantum ferromagnet as well as the macroscopic magnetisation are investigated. Thermal noise due to an interaction with lattice phonons and the effects of spatial correlations in [...]![]()
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The launch in 2019 of the new international system of units is an opportunity to highlight the key role that the fundamental laws of physics and chemistry play in our lives and in all the processes of basic research, industry and commerce. The m[...]![]()
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Xu, Ying ; De las Cuevas, Gemma ; Dür, Wolfgang ; Briegel, Hans J. ; Martín-Delgado Alcántara, Miguel Ángel | IOP Publishing | 2011-02-07We show that the partition function of many classical models with continuous degrees of freedom, e.g. abelian lattice gauge theories and statistical mechanical models, can be written as the partition function of an (enlarged) four–dimensional la[...]![]()
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Viyuela García, Óscar ; Rivas Vargas, Ángel ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2012-10-23We have studied the dynamical thermal effects on the protected end states of a topological insulator (TI) when it is considered as an open quantum system in interaction with a noisy environment at a certain temperature T . As a result, we find t[...]![]()
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Viyuela García, Óscar ; Vodola, V. ; Pupillo, G. ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2016-09-13We discover novel topological effects in the one-dimensional Kitaev chain modified by long-range Hamiltonian deformations in the hopping and pairing terms. This class of models display symmetry-protected topological order measured by the Berry/Z[...]![]()
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Varona Angulo, Santiago ; Ortiz Martín, Laura ; Viyuela, O. ; Martín-Delgado Alcántara, Miguel Ángel | IOP publishing ltd | 2018-10-03We compute the topological phase diagram of 2D tetragonal superconductors for the only possible nodeless pairing channels compatible with that crystal symmetry. Subject to a Zeeman field and spin-orbit coupling, we demonstrate that these superco[...]![]()
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Andrist, Ruben S. ; Katzgraber, Helmut G. ; Bombin, H. ; Martín-Delgado Alcántara, Miguel Ángel | IOP Publishing | 2011-08-08We compute the error threshold of color codes—a class of topological quantum codes that allow a direct implementation of quantum Clifford gates—when both qubit and measurement errors are present. By mapping the problem onto a statistical–mechani[...]![]()
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Vodola, Davide ; Amaro, David ; Martín-Delgado Alcántara, Miguel Ángel ; Mülller, Markus | IOP publishing ltd | 2018-08-06In this Letter, we establish and explore a new connection between quantum information theory and classical statistical mechanics by studying the problem of qubit losses in 2D topological color codes. We introduce a protocol to cope with qubit lo[...]![]()
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Song, Hao ; Prem, Abhinav ; Huang, Sheng-Jie ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2019-04-09We study novel three-dimensional gapped quantum phases of matter which support quasiparticles with restricted mobility, including immobile " fracton" excitations. So far, most existing fracton models may be instructively viewed as generalized Ab[...]![]()
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Viyuela García, Óscar ; Rivas Vargas, Ángel ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2014-08-13We construct a topological invariant that classifies density matrices of symmetry-protected topological orders in two-dimensional fermionic systems. As it is constructed out of the previously introduced Uhlmann phase, we refer to it as the topol[...]![]()
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Viyuela, O. ; Rivas, A. ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2014-04-02We introduce the Uhlmann geometric phase as a tool to characterize symmetry-protected topological phases in one-dimensional fermion systems, such as topological insulators and superconductors. Since this phase is formulated for general mixed qua[...]![]()
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Ohzeki, Masayuki ; Thomas, Creighton K. ; Katzgraber, Helmut G. ; Bombin, H. ; Martín-Delgado Alcántara, Miguel Ángel | IOP Publishing | 2011-02-01We study the effects of disorder on the slope of the disorder–temperature phase boundary near the Onsager point (T_(c) = 2.269 . . .) in spin-glass models. So far, studies have focused on marginal or irrelevant cases of disorder. Using duality a[...]![]()
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Bermúdez, A. ; Mazza, L. ; Rizzi, M. ; Goldman, N. ; Lewenstein, M. ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2010-11-04We show that ultracold Fermi gases in optical superlattices can be used as quantum simulators of relativistic lattice fermions in 3 þ 1 dimensions. By exploiting laser-assisted tunneling, we find an analogue of the so-called naive Dirac fermions[...]