A robust one-step catalytic machine for high fidelity anti-cloning and W-state generation in a multi-qubit system

We propose a physically realizable machine which can either generate multiparticle W-like states, or implement high fidelity $1 \to M$ ($M=1,2,... \infty$) anti-cloning of an arbitrary qubit state, in a single step. Moreover this universal machine acts as a catalyst in that it is unchanged after either procedure, effectively resetting itself for its next operation. It also possesses an inherent {\em immunity} to decoherence. Most importantly in terms of practical multi-party quantum communication, the machine's robustness in the presence of decoherence actually {\em increases} as the number of qubits $M$ increases.Comment: 4 pages, 2 figure

Ultrafast deterministic generation of entanglement in a time-dependent asymmetric two-qubit-cavity system

We present an efficient scheme for the controlled generation of pure two-qubit states possessing {\em any} desired degree of entanglement and a {\em prescribed} symmetry in two cavity QED based systems, namely, cold trapped ions and flying atoms. This is achieved via on-resonance ion/atom-cavity couplings which are time-dependent and asymmetric, leading to a trapping vacuum state condition which does not arise for identical couplings. A duality in the role of the coupling ratio yields states with a given concurrence but opposing symmetries. The experimental feasibility of the proposed scheme is also discussed.Comment: 4 pages, 4 figure

On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries

The Dirac equation with both scalar and vector couplings describing the dynamics of a two-dimensional Dirac oscillator in the cosmic string spacetime is considered. We derive the Dirac-Pauli equation and solve it in the limit of the spin and the pseudo-spin symmetries. We analyze the presence of cylindrical symmetric scalar potentials which allows us to provide analytic solutions for the resultant field equation. By using an appropriate ansatz, we find that the radial equation is a biconfluent Heun-like differential equation. The solution of this equation provides us with more than one expression for the energy eigenvalues of the oscillator. We investigate these energies and find that there is a quantum condition between them. We study this condition in detail and find that it requires the fixation of one of the physical parameters involved in the problem. Expressions for the energy of the oscillator are obtained for some values of the quantum number $n$. Some particular cases which lead to known physical systems are also addressed.Comment: 15 pages, 8 figures, matches published versio

Dynamics of quantum correlations and linear entropy in a multi-qubit-cavity system

We present a theoretical study of the relationship between entanglement and entropy in multi-qubit quantum optical systems. Specifically we investigate quantitative relations between the concurrence and linear entropy for a two-qubit mixed system, implemented as two two-level atoms interacting with a single-mode cavity field. The dynamical evolutions of the entanglement and entropy, are controlled via time-dependent cavity-atom couplings. Our theoretical findings lead us to propose an alternative measure of entanglement, which could be used to develop a much needed correlation measure for more general multi-partite quantum systems.Comment: New discussions on the generality of entanglement-entropy relationship, one new reference, and other minor changes. 10 pages, 6 figures, accepted for publication in J.Opt. B: "Special Issue on Fluctuations & Noise in Photonics & Quantum Optics.

Fundamentals and Applications of Surface-Enhanced Raman Spectroscopy (SERS)

When a molecule is adsorbed on some metallic nanostructured surfaces such as silver, copper or gold, it can undergo an enormous enhancement of the Raman signal giving rise to the so called Surface-Enhanced Raman Scattering (SERS). The high sensitivity of this effect allows an accurate structural study of adsorbates at very low concentrations. The SERS effect has historically been associated with the substrate roughness on two characteristic length scales. Surface roughness on the 10 to 100 nm length scale supports localized plasmon resonances which are considered as the dominant enhancement mechanism of SERS (Electromagnetic Enhancement Mechanism: SERS-EM). It is usually accepted that these electromagnetic resonances can increase the scattered intensity by an average factor of ca. 104 to 107. A secondary mechanism often thought to require atomic scale roughness is referred to as Charge Transfer (CT) Enhancement Mechanism (SERS-CT). This mechanism involves the photoinduced transfer of an electron from the metal to the adsorbate or vice versa and involves new electronic excited CT states which result from adsorbate–substrate chemical interactions. It is also estimated that such SERS-CT mechanism can enhance the scattering cross-section by a factor of ca. 10 to 102. These two mechanisms can operate simultaneously, depending on the particular systems and experimental conditions, making difficult to recognize each one and to estimate their relative magnitude in a particular spectrum.Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech

El conocimiento didáctico-matemático: una propuesta de evaluación de tres de sus facetas

En esta comunicación se presentan algunos criterios tenidos en cuenta para el diseño de un cuestionario para evaluar tres facetas del conocimiento matemático para la enseñanza de la derivada: el conocimiento común del contenido, el conocimiento especializado y el conocimiento ampliado. Así mismo se presenta una tarea propuesta en el cuestionario aplicado a estudiantes de las licenciaturas en Básica Matemáticas y Matemáticas -Física de la Universidad de Antioquia, Colombia

Un modelo de análisis del conocimiento didáctico-matemático: el caso de la formación inicial de profesores sobre la derivada

En este trabajo se presenta una propuesta de caracterización del conocimiento didáctico-matemático, sobre la derivada, que un profesor de matemáticas necesita para efectuar eficientemente su práctica. Se ilustra el uso del enfoque ontosemiótico del conocimiento y la instrucción matemática (EOS) para responder a cuestiones tales como: ¿Cómo o bajo qué criterios puede ser evaluado el Conocimiento Didáctico-Matemático? ¿Cómo se relacionan los distintos componentes del Conocimiento Didáctico-Matemático? ¿Cómo los formadores de profesores pueden ayudar a los futuros profesores a desarrollar los distintos componentes del Conocimiento Didáctico-Matemático? En este trabajo, se responde, aunque de manera parcial, a dichas preguntas, mediante el planteamiento de criterios específicos que, por medio de un cuestionario, permiten explorar el conocimiento común, especializado y ampliado del contenido de futuros profesores de bachillerato sobre la derivada