Tensorial characterization and quantum estimation of weakly entangled qubits

In the case of two qubits, standard entanglement monotones like the linear entropy fail to provide an efficient quantum estimation in the regime of weak entanglement. In this paper, a more efficient entanglement estimation, by means of a novel class of entanglement monotones, is proposed. Following an approach based on the geometric formulation of quantum mechanics, these entanglement monotones are defined by inner products on invariant tensor fields on bipartite qubit orbits of the group SU(2)xSU(2).Comment: 23 pages, 3 figure

Stellar laboratories. V. The Xe VI ultraviolet spectrum and the xenon abundance in the hot DO-type white dwarf RE0503-289

For the spectral analysis of spectra of hot stars with a high resolution and high signal-to-noise ratio (S/N), advanced non-local thermodynamic equilibrium (NLTE) model atmospheres are mandatory. These are strongly dependent on the reliability of the atomic data that are used for their calculation. Reliable Xe VI oscillator strengths are used to identify Xe lines in the ultraviolet spectrum of the DO-type white dwarf RE0503-289 and to determine its photospheric Xe abundance. We publish newly calculated oscillator strengths that are based on a recently measured Xe VI laboratory line spectrum. These strengths were used to consider their radiative and collisional bound-bound transitions in detail in our NLTE stellar-atmosphere models to analyze Xe VI lines exhibited in high-resolution and high S/N UV observations of RE0503-289. We identify three hitherto unknown Xe VI lines in the ultraviolet spectrum of RE0503-289 and confirm the previously measured photospheric Xe abundance of this white dwarf (log Xe = -4.2 +/- 0.6). Reliable measurements and calculations of atomic data are prerequisite for stellar-atmosphere modeling. Observed Xe VI line profiles in the ultraviolet spectrum of the white dwarf RE0503-289 were well reproduced with the newly calculated Xe VI oscillator strengths.Comment: 3 pages, 4 figure

Comment on "Correlated electron-nuclear dynamics: Exact factorization of the molecular wavefunction" [J. Chem. Phys. 137, 22A530 (2012)]

In spite of the relevance of the proposal introduced in the recent work A. Abedi, N. T. Maitra and E. K. U. Gross, J. Chem. Phys. 137, 22A530, 2012, there is an important ingredient which is missing. Namely, the proof that the norms of the electronic and nuclear wavefunctions which are the solutions to the nonlinear equations of motion are preserved by the evolution. To prove the conservation of these norms is precisely the objective of this Comment.Comment: 2 pages, published versio

Simultaneous analysis of elastic scattering and transfer/breakup channels for the 6He+208Pb reaction at energies near the Coulomb barrier

The elastic and alpha-production channels for the 6He+208Pb reaction are investigated at energies around the Coulomb barrier (E_{lab}=14, 16, 18, 22, and 27 MeV). The effect of the two-neutron transfer channels on the elastic scattering has been studied within the Coupled-Reaction-Channels (CRC) method. We find that the explicit inclusion of these channels allows a simultaneous description of the elastic data and the inclusive alpha cross sections at backward angles. Three-body Continuum-Discretized Coupled-Channels (CDCC) calculations are found to reproduce the elastic data, but not the transfer/breakup data. The trivially-equivalent local polarization potential (TELP) derived from the CRC and CDCC calculations are found to explain the features found in previous phenomenological optical model calculations for this system.Comment: 7 pages, 6 figures (replaced with updated version

Classical Tensors and Quantum Entanglement I: Pure States

The geometrical description of a Hilbert space asociated with a quantum system considers a Hermitian tensor to describe the scalar inner product of vectors which are now described by vector fields. The real part of this tensor represents a flat Riemannian metric tensor while the imaginary part represents a symplectic two-form. The immersion of classical manifolds in the complex projective space associated with the Hilbert space allows to pull-back tensor fields related to previous ones, via the immersion map. This makes available, on these selected manifolds of states, methods of usual Riemannian and symplectic geometry. Here we consider these pulled-back tensor fields when the immersed submanifold contains separable states or entangled states. Geometrical tensors are shown to encode some properties of these states. These results are not unrelated with criteria already available in the literature. We explicitly deal with some of these relations.Comment: 16 pages, 1 figure, to appear in Int. J. Geom. Meth. Mod. Phy

Coubertin and the artistic competitions in the Modern Olympic Games

El objetivo de este trabajo es analizar la importancia que tenía para Coubertin la inclusión de concursos artísticos en el programa oficial de los Juegos Olímpicos modernos. Se estudiará cómo, cuándo y por qué surgió la idea en Coubertin de unir de manera armoniosa las artes y las letras a los Juegos Olímpicos, como ya ocurriera en la antigua Olimpia. En los Juegos Olímpicos de Estocolmo de 1912, se celebraron por primera vez competiciones deportivas y concursos artísticos, cumpliéndose el anhelo de Coubertin. Sin embargo, después de siete citas olímpicas en las que se habían celebrado concursos artísticos, el COI decidió suprimirlos en 1949, sustituyéndolos por “Olimpíadas Culturales”, “exhibiciones” o “exposiciones”. La metodología de este estudio es histórica y se fundamenta en fuentes primarias y secundarias. Como conclusión, para Coubertin fueron tan importantes los concursos artísticos en los Juegos Olímpicos modernos que tuvieron el mismo rango que las competiciones deportivasThe aim of this essay is to analyse the importance that Coubertin gave to including the artistic competitions in the official programme of the modern Olympic Games. It will be studied how, when and why Coubertin's idea of harmoniously joining arts and letters to the Olympic Games appeared, as it had already happened in ancient Olympia. In the Olympic Games of Stockholm 1912, sport and artistic competitions were celebrated for the first time, fulfilling thus Coubertin's longing. However, after seven Olympic events where artistic competitions had been held, the IOC decided to eliminate them in 1949 and to replace them for "Cultural Olympics", "exhibitions" or "expositions". The methodology of this study is historical and based on primary and secondary sources. In conclusion, to Coubertin the artistic competitions in the modern Olympic Games were so important as to have the same status as the sport competition

La práctica del ciclismo indoor en los mayores: implicaciones metodológicas

Uno de los cambios más característicos de la época tecnológica en la que nos encontramos inmersos, es el envejecimiento de la población y la consecuente inversión de la pirámide poblacional. Dicha inversión, acentúa la necesidad de diseñar y extender planes de actuación que promuevan actividades físico-recreativas continuadas con intensidades, cargas y ejercicios específicos totalmente adaptados a las características de esta población. La propuesta que aquí presentamos se basa en la práctica del ciclo indoor, que representa una experiencia fundamental para el desarrollo integral de la persona. Esta práctica puede considerarse una terapia imprescindible para la estimulación y reeducación de las habilidades concretas de esta población, así como para la adquisición de técnicas de comunicación social, a la vez que realizan una actividad lúdica y placentera. Mediante un programa de actividad física de este tipo, se pretende aumentar las posibilidades funcionales, al tiempo que se mejora las psico-afectivas, y con ello la calidad de vida de nuestros mayores