998 resultados para Quantum Groups


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Within the noncollinear local spin-density approximation, we have studied the ground state structure of a parabolically confined quantum wire submitted to an in-plane magnetic field, including both Rashba and Dresselhaus spin-orbit interactions. We have explored a wide range of linear electronic densities in the weak (strong) coupling regimes that appear when the ratio of spin-orbit to confining energy is small (large). These results are used to obtain the conductance of the wire. In the strong coupling limit, the interplay between the applied magnetic field¿irrespective of the in-plane direction, the exchange-correlation energy, and the spin-orbit energy-produces anomalous plateaus in the conductance vs linear density plots that are otherwise absent, or washes out plateaus that appear when the exchange-correlation energy is not taken into account.

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The interplay between Rashba, Dresselhaus, and Zeeman interactions in a quantum well submitted to an external magnetic field is studied by means of an accurate analytical solution of the Hamiltonian, including electron-electron interactions in a sum-rule approach. This solution allows us to discuss the influence of the spin-orbit coupling on some relevant quantities that have been measured in inelastic light scattering and electron-spin resonance experiments on quantum wells. In particular, we have evaluated the spin-orbit contribution to the spin splitting of the Landau levels and to the splitting of charge- and spin-density excitations. We also discuss how the spin-orbit effects change if the applied magnetic field is tilted with respect to the direction perpendicular to the quantum well.

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The role of effective mass and dielectric mismatches on chemical potentials and addition energies of many-electron multishell quantum dots (QDs) is explored within the framework of a recent extension of the spin density functional theory. It is shown that although the gross electronic density is located in the wells of these multishell QDs, taking position-dependent effective mass and dielectric constant into account can lead to the appearance of relevant differences in chemical potential and addition energies as compared to standard calculations in which the effective mass and the dielectric constant of the well is assumed for the whole multishell structure.

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Après avoir situé le contexte de la recherche et défini les enjeux principaux du travail, différents types de nanoparticules, ainsi que leurs principales caractéristiques, sont parcourues. L'élaboration de critères de sélection ayant permis de déterminer les types de nanoparticules potentiellement adaptés à !a détection de traces papillaires, l'étude s'est alors focalisée sur deux familles de composés: les quantum dots et les nanoparticules d'oxyde de silicium. Deux types de quantum dots ont été synthétisés : le tellurure de cadmium et le sulfure de zinc). Ils n'ont toutefois pas permis la détection de traces papillaires réalistes. En effet, seules des traces fraîches et enrichies en sécrétions ont pu être mises en évidence. Toutefois, des résultats ont été obtenus avec les deux types de quantum dots pour la détection de traces papillaires sanglantes. Après optimisation, les techniques rivalisent avec les méthodes couramment appliquées en routine. Cependant, l'interaction se produisant entre les traces et les nanoparticules n'a pas pu être déterminé. Les nanoparticules d'oxyde de silicium ont dès lors été appliquées dans le but de comprendre plus en détails les interactions avec les traces papillaires. Ces nanoparticules ont l'avantage d'offrir un très bon contrôle de surface, permettant ainsi une étude détaillée des phénomènes en jeu. Des propriétés de surface variables ont dès lors été obtenues en greffant diverses molécules à la surface des nanoparticules d'oxyde de silicium. Après avoir exploré différentes hypothèses d'interaction, il a pu être déterminé qu'une réaction chimique se produit lors qu'un groupement de type carboxyle est présent à la surface des particules. Ce groupement réagit avec les fonctions amines primaires des sécrétions. L'interaction chimique a ensuite pu être renforcée par l'utilisation d'un catalyseur, permettant d'accélérer la réaction. Dans la dernière partie du travail, les nanoparticules d'oxyde de silicium ont été comparées à une technique utilisée en routine, la fumigation de cyanoacrylate. Bien que des études plus approfondies soient nécessaires, il s'avère que l'application de nanoparticules d'oxyde de silicium permet une détection de très bonne qualité, moins dépendante du donneur que les techniques courantes. Ces résultats sont prometteurs en vue du développement d'une technique possédant une sensibilité et une sélectivité accrue. - Having situated the background of research and identified key issues of work, different types of nanoparticles and their main features are reviewed. The development of selection criteria lead to the identification of nanoparticles types potentially suitable for fingermarks detection. The study focused then On two families of compounds: quantum dots and silicon oxide nanoparticles. Two types of quantum dots were synthesized and characterised: cadmium telluride and zinc sulphide. Unfortunally, they did not allow the detection realistic fingermarks. Indeed, only fresh and groomed fingermarks have been detected. However, results have been obtained with both types of quantum dots for the detection of fingermarks in blood. After optimization procedures, the quantum dots based teshniques compete with the methods currently used in routine. However, the interaction occurring between fingermarks and nanoparticles could not be determined. Silicon oxide nanoparticles have therefore been applied in order to understand in detail the interactions With fingermarks. These nanoparticles have the advantage of providing a very good surface control, allowing am in-depth study of the phenomena involved. Versatile surface properties were therefore obtained by grafting various molecules on the surface of silicon oxide nanoparticles. Different hypotheses were investigated and it was determined that a chemical reaction occurred between the surface functionalised nanoparticles and the fingermark residues. The carboxyl groups on the surface of the particles react with primary amines of the secretions. Therefore, this interaction was improved by the use of a catalyst. In the last part of the work, silicon oxide nanoparticles were compared to a routinely used technique: cyanocrylate fuming. Although further studies are still needed, it appears that the application of silicon oxide nanoparticles allows fingermark detection of very good quality, with a lowered donor dependency. These results are promising for the development of techniques with greater sensitivity and selectivity.

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A new arena for the dynamics of spacetime is proposed, in which the basic quantum variable is the two-point distance on a metric space. The scaling dimension (that is, the Kolmogorov capacity) in the neighborhood of each point then defines in a natural way a local concept of dimension. We study our model in the region of parameter space in which the resulting spacetime is not too different from a smooth manifold.

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Recently a new Bell inequality has been introduced by Collins et al. [Phys. Rev. Lett. 88, 040404 (2002)], which is strongly resistant to noise for maximally entangled states of two d-dimensional quantum systems. We prove that a larger violation, or equivalently a stronger resistance to noise, is found for a nonmaximally entangled state. It is shown that the resistance to noise is not a good measure of nonlocality and we introduce some other possible measures. The nonmaximally entangled state turns out to be more robust also for these alternative measures. From these results it follows that two von Neumann measurements per party may be not optimal for detecting nonlocality. For d=3,4, we point out some connections between this inequality and distillability. Indeed, we demonstrate that any state violating it, with the optimal von Neumann settings, is distillable.

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Optimal and finite positive operator valued measurements on a finite number N of identically prepared systems have recently been presented. With physical realization in mind, we propose here optimal and minimal generalized quantum measurements for two-level systems. We explicitly construct them up to N = 7 and verify that they are minimal up to N = 5.

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We apply majorization theory to study the quantum algorithms known so far and find that there is a majorization principle underlying the way they operate. Grover's algorithm is a neat instance of this principle where majorization works step by step until the optimal target state is found. Extensions of this situation are also found in algorithms based in quantum adiabatic evolution and the family of quantum phase-estimation algorithms, including Shor's algorithm. We state that in quantum algorithms the time arrow is a majorization arrow.

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We present a family of 3-qubit states to which any arbitrary state can be depolarized. We fully classify those states with respect to their separability and distillability properties. This provides a sufficient condition for nonseparability and distillability for arbitrary states. We generalize our results to N-particle states.

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We prove for any pure three-quantum-bit state the existence of local bases which allow one to build a set of five orthogonal product states in terms of which the state can be written in a unique form. This leads to a canonical form which generalizes the two-quantum-bit Schmidt decomposition. It is uniquely characterized by the five entanglement parameters. It leads to a complete classification of the three-quantum-bit states. It shows that the right outcome of an adequate local measurement always erases all entanglement between the other two parties.

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Quantum states can be used to encode the information contained in a direction, i.e., in a unit vector. We present the best encoding procedure when the quantum state is made up of N spins (qubits). We find that the quality of this optimal procedure, which we quantify in terms of the fidelity, depends solely on the dimension of the encoding space. We also investigate the use of spatial rotations on a quantum state, which provide a natural and less demanding encoding. In this case we prove that the fidelity is directly related to the largest zeros of the Legendre and Jacobi polynomials. We also discuss our results in terms of the information gain.

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Identification and relative quantification of hundreds to thousands of proteins within complex biological samples have become realistic with the emergence of stable isotope labeling in combination with high throughput mass spectrometry. However, all current chemical approaches target a single amino acid functionality (most often lysine or cysteine) despite the fact that addressing two or more amino acid side chains would drastically increase quantifiable information as shown by in silico analysis in this study. Although the combination of existing approaches, e.g. ICAT with isotope-coded protein labeling, is analytically feasible, it implies high costs, and the combined application of two different chemistries (kits) may not be straightforward. Therefore, we describe here the development and validation of a new stable isotope-based quantitative proteomics approach, termed aniline benzoic acid labeling (ANIBAL), using a twin chemistry approach targeting two frequent amino acid functionalities, the carboxylic and amino groups. Two simple and inexpensive reagents, aniline and benzoic acid, in their (12)C and (13)C form with convenient mass peak spacing (6 Da) and without chromatographic discrimination or modification in fragmentation behavior, are used to modify carboxylic and amino groups at the protein level, resulting in an identical peptide bond-linked benzoyl modification for both reactions. The ANIBAL chemistry is simple and straightforward and is the first method that uses a (13)C-reagent for a general stable isotope labeling approach of carboxylic groups. In silico as well as in vitro analyses clearly revealed the increase in available quantifiable information using such a twin approach. ANIBAL was validated by means of model peptides and proteins with regard to the quality of the chemistry as well as the ionization behavior of the derivatized peptides. A milk fraction was used for dynamic range assessment of protein quantification, and a bacterial lysate was used for the evaluation of relative protein quantification in a complex sample in two different biological states