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We compute the error threshold for the semion code, the companion of the Kitaev toric code with the same gauge symmetry group Z(2). The application of statistical mechanical mapping methods is highly discouraged for the semion code, since the co[...]texto impreso
We propose and construct a numerical algorithm to calculate the Berry conductivity in topological band insulators. The method is applicable to cold atom systems as well as solid state setups, both for the insulating case where the Fermi energy l[...]texto impreso
Díaz de la Cruz, José M. ; Martín Delgado, Miguel Ángel | Multidisciplinary Digital Publishing Institute | 2016-09A new scenario for energy distribution, security and shareability is presented that assumes the availability of quantum information heat engines and a thermal bath. It is based on the convertibility between entropy and work in the presence of a [...]texto impreso
Müller, Markus ; Rivas Vargas, Ángel ; Martínez, E. A. ; Nigg, D. ; Schindler, P. ; Monz, T. ; Blatt, R. ; Martín Delgado, Miguel Ángel | American Physical Society (APS) | 2016-08-24Performing experiments on small-scale quantum computers is certainly a challenging endeavor. Many parameters need to be optimized to achieve high-fidelity operations. This can be done efficiently for operations acting on single qubits, as errors[...]texto impreso
Bermúdez, A. ; Martín Delgado, Miguel Ángel ; Luis Aina, Alfredo | American Physical Society | 2008-03-18We study the nonrelativistic limit of a paradigmatic model in relativistic quantum mechanics, the two-dimensional Dirac oscillator. Remarkably, we find a different kind of Zitterbewegung which persists in this nonrelativistic regime, and leads t[...]texto impreso
Dauphinais, Guillaume ; Ortiz Martín, Laura ; Varona Angulo, Santiago ; Martín Delgado, Miguel Ángel | IOP publishing ltd | 2019-05-29We present a full quantum error correcting procedure with the semion code: an off-shell extension of the double-semion model. We construct open-string operators that recover the quantum memory from arbitrary errors and closed-string operators th[...]texto impreso
A physical system out of thermal equilibrium is a resource for obtaining useful work when a heat bath at some temperature is available. Information Heat Engines are the devices which generalize the Szilard cylinders and make use of the celebrate[...]texto impreso
We introduce a new quantum optimization algorithm for dense linear programming problems, which can be seen as the quantization of the interior point predictor-corrector algorithm [1] using a quantum linear system algorithm [2]. The (worst case) [...]texto impreso
Jafari, R. ; Johannesson, Henrik ; Martín Delgado, Miguel Ángel | American Physical Society | 2019-02-11In most lattice models, the closing of a band gap typically occurs at high-symmetry points in the Brillouin zone. Differently, in the Creutz model-describing a system of spinless fermions hopping on a two-leg ladder pierced by a magnetic field-t[...]texto impreso
We show that the vibrations of a chain of trapped ions offer an interesting route to explore the physics of disordered quantum systems. By preparing the internal state of the ions in a quantum superposition, we show how the local vibrational ene[...]texto impreso
The study of non-equilibrium properties in topological systems is of practical and fundamental importance. Here, we analyze the stationary properties of a two-dimensional bosonic Hofstadter lattice coupled to two thermal baths in the quantum ope[...]
