Explicit tensor network representation for the ground states of string-net models

The structure of string-net lattice models, relevant as examples of topological phases, leads to a remarkably simple way of expressing their ground states as a tensor network constructed from the basic data of the underlying tensor categories. The construction highlights the importance of the fat lattice to understand these models.Comment: 5 pages, pdf figure

A hierarchy of topological tensor network states

We present a hierarchy of quantum many-body states among which many examples of topological order can be identified by construction. We define these states in terms of a general, basis-independent framework of tensor networks based on the algebraic setting of finite-dimensional Hopf C*-algebras. At the top of the hierarchy we identify ground states of new topological lattice models extending Kitaev's quantum double models [26]. For these states we exhibit the mechanism responsible for their non-zero topological entanglement entropy by constructing a renormalization group flow. Furthermore it is shown that those states of the hierarchy associated with Kitaev's original quantum double models are related to each other by the condensation of topological charges. We conjecture that charge condensation is the physical mechanism underlying the hierarchy in general.Comment: 61 page

Cita de peces no frecuentes pescados en aguas de Mallorca

Abstract not availabl

Hybrid analog-digital transmit beamforming for spectrum sharing backhaul networks

© 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes,creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.This paper deals with the problem of analog-digital transmit beamforming under spectrum sharing constraints for backhaul systems. In contrast to fully digital designs, where the spatial processing is done at baseband unit with all the flexible computational resources of digital processors, analog-digital beamforming schemes require that certain processing is done through analog components, such as phase-shifters or switches. These analog components do not have the same processing flexibility as the digital processor, but on the other hand, they can substantially reduce the cost and complexity of the beamforming solution. This paper presents the joint optimization of the analog and digital parts, which results in a nonconvex, NP-hard, and coupled problem. In order to solve it, an alternating optimization with a penalized convex-concave method is proposed. According to the simulation results, this novel iterative procedure is able to find a solution that behaves close to the fully digital beamforming upper bound scheme.Peer ReviewedPostprint (author's final draft

Mapping Kitaev's quantum double lattice models to Levin and Wen's string-net models

We exhibit a mapping identifying Kitaev's quantum double lattice models explicitly as a subclass of Levin and Wen's string net models via a completion of the local Hilbert spaces with auxiliary degrees of freedom. This identification allows to carry over to these string net models the representation-theoretic classification of the excitations in quantum double models, as well as define them in arbitrary lattices, and provides an illustration of the abstract notion of Morita equivalence. The possibility of generalising the map to broader classes of string nets is considered.Comment: 8 pages, 6 eps figures; v2: matches published versio

Multicarrier-signal design with low peaks and low out-of-band power

Projecte fet en col.laboració amb el Department of Electrical and Information Technology. Lund UniversityThe high peak-to-average power ratio (PAPR) and the high out-of-band power (OBP) are two major drawbacks of multicarrier communication systems. Many PAPR reduction and OBP supression techniques have been proposed in the literature whereas not much has been proposed regarding the jointly reduction performance. This thesis focuses on joint reducing time-domain peaks and out-of-band leakage of OFDM signals. The resulting algorithm combines the bene ts of both methods and yields better results than each method does separately

Multicarrier-signal design with low peaks and low out-of-band power

Projecte fet en col.laboració amb el Department of Electrical and Information Technology. Lund UniversityThe high peak-to-average power ratio (PAPR) and the high out-of-band power (OBP) are two major drawbacks of multicarrier communication systems. Many PAPR reduction and OBP supression techniques have been proposed in the literature whereas not much has been proposed regarding the jointly reduction performance. This thesis focuses on joint reducing time-domain peaks and out-of-band leakage of OFDM signals. The resulting algorithm combines the bene ts of both methods and yields better results than each method does separately

Towards label-free biosensing in compact disk technologies f or point-of-need analysis

Tesis por compendioThis thesis explores new analytical advances using compact disk biosensing technologies, and comprises six scientific publications distributed along four chapters. Special attention is herein payed to Thermochromic Etching Disks (TED) technology (Chapter 1), rational design of disk-based biorecognition assays (Chapter 2), and label-free detection systems for point-of-need analysis (Chapters 3 and 4). First, insights into a novel light-mediated signal developing system for biorecognition assays (based on TED disks and drives) are provided together with an overview of the state-of-the art and future trends in photo- and thermochromic biosensing. This signal developing approach exploits photo- and thermochromism for biosensing in an original manner and represents a potential strategy to simplify signaling processes in bioanalytical systems. Then, how to transform TED technology into lab-on-a-disk systems is addressed. TED has proven to be a very versatile tool to perform sensitive analysis of biorecognition assays, using platforms and scanners easily obtained from regular disks and drives, respectively. Biologically relevant assays of different nature (microarray, cell culture, immunofiltration, turbidimetry, etc.) have been arrayed in a single disk and sensitively analyzed by imaging. Regarding rational design, a theoretical-experimental method (INSEL) based on kinetics and mass-transport modelling for optimizing biorecognition assays and exploring their behavior is presented. INSEL has been implemented as an in silico tool that enables to characterize biointeractions with minimal experimentation, to perform optimizations directed towards custom objectives defined by the user, and to easily compute the effect of critical variables without further experiments. In another study included in this thesis, polycarbonate grooved structures obtained from standard recordable disks (CD-R and DVD-R) were coated with silver and tailored to become SERS-active. This strategy represents a cost-effective and industrially scalable alternative to the SERS substrates typically used for bioanalysis. These disk-based materials have presented tunable plasmonic responses, significant Raman enhancement, and have allowed complex biological targets (such as proteins and exosomes) to be analyzed by SERS without using labeled reagents as tracers. In addition to introduce inexpensive and large-scale SERS substrates for biosensing, this study also suggests the development of prospective Raman scanners based on disk drives. Another approach herein presented addresses the implementation of diffraction-based sensing (DBS) in TED technology in order to conceive disk-based label-free biosensors based on standard disks and drives. At first, a comprehensive experimental assessment of the analytical possibilities offered by DBS is presented. Then, the fabrication of arrays of diffractive protein networks on TED disks is investigated, with which sensitive analysis of antibodies in label-free conditions has been demonstrated, using adapted drives as scanners. This investigation provides important insights into cost-effective and industrially scalable functional materials and detection setups that exploit consumer electronics for label-free biosensing.Esta tesis explora nuevos avances en química analítica usando tecnologías de biosensado basadas en sistemas de disco compacto y comprende seis publicaciones científicas distribuidas a lo largo de cuatro capítulos. Los estudios se han centrado en la tecnología Thermochromic Etching Disks (TED) (Capítulo 1), el diseño racional de ensayos de bioreconocimiento en discos compactos (Capítulo 2), y la detección sin marcaje para realizar análisis in situ (Capítulos 3 y 4). Primero, enmarcado en una discusión del estado del arte y futuras tendencias en biosensado foto y termocrómico, se presenta un nuevo sistema (basado en discos y lectores TED) mediado por luz para el desarrollo de señales en ensayos de bioreconocimiento. Ésta constituye una estrategia novedosa para aprovechar el foto y termocromismo en biosensado, y presenta un gran potencial para simplificar los procesos de desarrollo de señal en sistemas bioanalíticos. A continuación, se aborda cómo transformar la tecnología TED en sistemas analíticos integrados basados en discos compactos. TED ha demostrado ser una herramienta muy versátil para analizar, de forma sensible, ensayos de bioreconocimiento usando plataformas y escáneres fácilmente obtenidos a partir de discos y lectores convencionales, respectivamente. Un único disco ha mostrado poder albergar varios ensayos biológicos importantes y de distinta naturaleza (micromatriz, cultivos celulares, inmunofiltración, turbidimetría, etc.), para ser analizados de forma sensible a través de imágenes En cuanto al diseño racional, se presenta un método teórico-experimental (INSEL), basado en modelos cinéticos y de transporte de masa, para optimizar ensayos de bioreconocimiento y explorar su comportamiento. INSEL se ha implementado como una herramienta in silico que permite caracterizar biointeracciones mediante mínima experimentación, realizar optimizaciones dirigidas a objetivos particulares definidos por el usuario, y computar el efecto de variables críticas de forma sencilla y sin experimentos adicionales. En otro estudio incluido en esta tesis, nanoestructuras en forma de surco obtenidas a partir de discos regrabables convencionales (CD-R y DVD-R) fueron recubiertas con plata y adaptadas para ser activas en SERS. Esta estrategia supone una alternativa, económicamente efectiva e industrialmente escalable, a los sustratos SERS típicamente usados en bioanálisis. Estos materiales han mostrado respuestas plasmónicas sintonizables, una amplificación Raman significativa, y han permitido analizar muestras biológicas complejas (como proteínas y exosomas) mediante SERS sin usar marcadores. Además de introducir sustratos SERS grandes y baratos, este trabajo también sugiere el desarrollo de escáneres Raman basados en lectores de disco. Otra aproximación presentada en esta tesis aborda la implementación de DBS (diffraction-based sensing) en tecnologías TED, con el fin de desarrollar biosensores para detección sin marcaje basados en discos y lectores convencionales. Primero, se presenta una amplia evaluación experimental de las posibilidades analíticas ofrecidas por DBS. A continuación, se investiga la fabricación de multitud de redes difractivas de proteínas sobre discos TED, con las que se ha demostrado la determinación sensible y sin marcaje de anticuerpos, usando lectores adaptados como escáneres analíticos. Esta investigación introduce avances importantes que apuntan al desarrollo de materiales funcionales y sistemas de detección, baratos e industrialmente escalables, que aprovechen las tecnologías de consumo para realizar biosensado sin marcaje.Aquesta tesi explora nous avanços en la química analítica usant tecnologies de biosensat basades en sistemes de disc compacte, i comprèn sis publicacions científiques distribuïdes en quatre capítols. Els estudis s'han centrat en la tecnologia Thermochromic Etching Disks (TED) (Capítol 1), el disseny racional d'assajos de bioreconeixement en discos compactes (Capítol 2), i la detecció sense marcatge per realitzar anàlisi in situ (Capítols 3 i 4). Primer, dins del marc d'una discussió de l'estat de l'art i tendències futures en biosensat foto i termocròmic, es presenta un nou sistema (basat en discos i lectors TED) per al desenvolupament de senyals mitjançant llum, en assajos de bioreconeixement. Aquesta constitueix una nova estratègia per aprofitar el foto i termocromisme en biosensat, mentre que també presenta una gran potencial per simplificar els processos de desenvolupament de senyal en sistemes bioanalítics. Tot seguit, s'aborda com transformar la tecnologia TED en sistemes analítics integrats basats en discos compactes. TED ha demostrat ser una eina molt versàtil per analitzar, de forma sensible, assajos de bioreconeixement usant plataformes i escàners fàcilment obtinguts a partir de discos i lectors convencionals, respectivament. Un únic disc ha mostrat poder albergar diversos assajos biològicament importants i de distinta naturalesa (micromatrius, cultius cel·lulars, immunofiltració, turbidimetria, etc.), per a ser analitzats de forma sensible a través d'imatges. Pel que fa al disseny racional, es presenta un mètode teòric-experimental (INSEL), basat en models cinètics i de transport de massa, per optimitzar assajos de bioreconeixement i explorar el seu comportament. INSEL s'ha implementat com a una eina in silico que permet caracteritzar biointeraccions amb mínima experimentació, realitzar optimitzacions dirigides cap a objectius particulars definits per l'usuari, i computar l'efecte de variables crítiques de forma senzilla i sense experiments addicionals. En un altre estudi inclòs en aquesta tesi, nanoestructures en forma de solc obtingudes a partir de discos compactes regravables convencionals (CD-R i DVD-R) van ser recobertes amb plata i adaptades per a ser actives en SERS. Aquesta estratègia suposa una alternativa, econòmicament efectiva i industrialment escalable, als substrats SERS típicament usats en bioanàlisi. Aquests materials han mostrat respostes plasmòniques sintonitzables, una amplificació Raman significativa, i han permès analitzar mostres biològiques complexes (com proteïnes i exosomes) mitjançant SERS sense usar marcadors. A més d'introduir substrats SERS grans i barats, aquest treball també suggereix el desenvolupament d'escàners Raman basats en lectors de disc. Una altra aproximació presentada en aquesta tesi aborda la implementació de DBS (diffraction-based sensing) en tecnologies TED, per tal de desenvolupar biosensors basats en discos i lectors convencionals que permeten detecció sense marcatge. Primer, es presenta una amplia avaluació experimental de les possibilitats analítiques que ofereix aquesta tècnica. A continuació, s'investiga la fabricació de multitud de xarxes difractives de proteïnes sobre discos TED, amb les quals s'ha demostrat la determinació sensible i sense marcatge d'anticossos, usant lectors adaptats com a escàners analítics. Aquesta investigació introdueix avanços importants que apunten cap al desenvolupament de materials funcionals i sistemes de detecció, barats i industrialment escalables, que aprofiten les tecnologies de consum per dur a terme bioanàlisi sense marcatge.Avellà Oliver, JM. (2017). Towards label-free biosensing in compact disk technologies f or point-of-need analysis [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/86128TESISCompendi

The Importance of Creative Industry Agglomerations in Explaining the Wealth of European Regions

This paper examines the existence of regional agglomerations of manufacturing, service and creative industries, the relationship between these industries and the wealth of regions and their industrial structure. Through an analysis of 250 European regions, three important conclusions can be inferred from the results obtained in this paper. The first is that creative industries play an important role in the wealth of a region. The second is that the most creative regions are characterized by having more high-tech manufacturing industries than the rest of the regions although the number of low-tech manufacturing firms is similar. Lastly, the industrial structure of each region has a greater influence on regional wealth than the existence of industrial agglomerations. The importance of this paper resides in the fact that up until now no analysis has demonstrated that creative industries are the most important industries in regional wealth.