O trabalho teve como objetivo avaliar a eficiência do sistema de resfriamento adiabático evaporativo (SRAE), acionado em diferentes horários, em instalação do tipo free-stall e a interação entre o ambiente e a ocorrência de mastite bem como seus reflexos nas respostas produtivas, fisiológicas e comportamentais de vacas em lactação. Foram utilizadas 28 vacas em lactação, multíparas, das raças Holandesa Preta e Branca e Parda Suíça, com produção média diária de 23 kg de leite/animal por dia distribuídas em um delineamento inteiramente casualisado. O período experimental de 56 dias teve início em 20 de janeiro de 2003. Os tratamentos foram: controle (sem SRAE); Dia (SRAE acionado das 7 às 19 h); Noite (SRAE acionado das 19 às 7 h) e 24 horas (SRAE acionado durante 24h). Os equipamentos foram acionados toda vez que a temperatura atingiu 22ºC. A temperatura de bulbo seco (TBS), umidade relativa do ar (UR) e a temperatura de globo negro (TGN) foram mensuradas ao longo das 24 horas. A freqüência respiratória (FR), a temperatura retal (TR) e temperatura do pelame (TP) foram tomadas duas vezes por semana às 7, 13 e 21 h. A ordenha foi realizada às 7 e às 19 h. Amostragens semanais de leite e sangue foram realizadas para análise da composição do leite (gordura, proteína, lactose e contagem de células somáticas) e determinações hormonais de cortisol, tiroxina (T4) e triiodotironina (T3). Para análise comportamental foram observadas, semanalmente, as atividades (ingestão de água, alimento, ruminação e ócio, em pé ou deitada) de cinco animais de cada tratamento, por um período de 24 horas, em intervalos de 10 minutos. Para avaliação da ocorrência de mastite clínica e subclínica foram feitos exames semanais de TAMIS (caneca de fundo preto) e California Mastitis Test (CMT). Foram colhidas amostras de leite de todos os quartos para identificação microbiológica dos agentes causais da mastite. A climatização do free-stall utilizado no tratamento dia conseguiu manter a temperatura dentro da faixa de termoneutralidade até as 12 h, mas a partir da 17 h a TBS do tratamento dia foi significativamente maior que o tratamento controle e 24 horas. As TGN, UR e ITU permaneceram acima da termoneutralidade. Foi observada uma correlação linear positiva entre a temperatura retal e as TP. Nos animais do tratamento controle os níveis de cortisol encontravam-se acima dos níveis normais. O consumo de matéria seca dos animais submetidos ao tratamento noite foi maior (P<0,05), entretanto, isso não refletiu na produção de leite. Os animais do tratamento controle e 24 horas permaneceram o menor tempo se alimentando, gastaram mais tempo em ócio, e levaram menos tempo ruminando. Na fase pré-experimental a maior freqüência de isolamento bacteriano foi para Staphylococcus coagulase negativa. No tratamento noite e dia, houve uma diminuição na proporção de casos positivos de mastite subclínica da fase pré-experimental em relação à última semana da fase experimental. Na última semana da fase experimental houve uma diminuição de Staphylococcus coagulase negativa e aumento da ocorrência de Corynebacterium sp. / The purpose of this research was to compare the efficiency of three different schedule for using an adiabatic evaporative cooling with misting system (AEC) in a free-stall and its influence on the occurrence of clinical and sub clinical mastitis, as well as, on the physiological and milk production parameters on lactating cows. A total of 28 Brown Swiss and Holstein multiparous cows were random allocated in four groups. At starting of the experiment the daily average of milk production was 23 kg per animal. The overall experimental period was of 56 days, starting from January 20th. Treatments were: control group (without AEC); Day (AEC turned on from 7 to 19 h); Night (AEC turned on from 19 to 7 h) and 24 h (AEC turned on during 24h). Every time the temperature reached 22ºC the AEC automatically start functioning. The dry bulb temperature (DBT), relative humidity (RH) and black globe temperature (BGT) were measuread hourly inside and outside of facilities through a period of 24 hours. The respiratory frequency (RF), rectal temperature (RT) and skin temperature (ST) were registered twice a week at 7, 13 e 21 h. The milking was performed at 7 and 19 h. The samples of milk and blood were weekly taken to be performed the milk composition analyses (fat %, protein %, lactose %, somatic cell counts) as well as to hormonal analyses of cortisol, thyroxin (T4) e triiodothyronine(T3) levels. To be performed the behavior analyses five animals, from each group, were weekly observed, each 10 minutes during a 24h period, in respect to the following activities: water and food ingestion, ruminating, and time in resting on foot or lying. The results of the strip cup and California Mastitis Test (CMT) were weekly registered to evaluate the occurrence of clinical and subclinical mastitis. Milk samples were aseptically collected from the quarters of all animals to be submitted to microbiological examination to etiologic mastitis microorganisms identification. The free-stall cooling used in the day group kept the temperature under the thermoneutrality range till 12 h, however from 17 h in the day group the DBT was statistically higher than in control and 24 h groups. It was detected significant difference among the groups (P<0.05) in respect to the following parameters: BGT, RH e temperature-humidity index (THI) that was higher than the thermoneutrality range. It was observed a positive linear correlation between rectal temperature and PT. The cortisol levels among the control group animals were higher than the normal values. In spite of the dry matter consume by the animals of night group were higher (P<005), the same was not observed in respect of milk production. The animals of the control group stayed less time eating stayed longer lazily and less time ruminating. Staphylococcus coagulase negative was the most commonly isolate before the experimental period It was observed a reduction on subclinical mastits frequency in the animals of day and night groups when compared to the last week of the experimental period. It was observed a reduction on Staphylococcus coagulase negative frequency and increased Corynebacterium sp occurrence in the last week of the experimental period.

A metodologia GMAX, (Gradient-Modulated Adiabatic Excitation), caracteriza-se pelo uso de pulsos adiabáticos para localização de volumes em espectroscopia e seleção de fatias em MRI. A sua utilidade surge do interessante perfil de inversão da magnetização transversal induzido ao longo da amostra. Entretanto, a interpretação desse comportamento tem sido dada apenas de forma qualitativa, através da utilização da condição de adiabaticidade como ponto de partida. Neste trabalho é apresentada uma descrição analítica partindo da solução em termos da função hipergeométrica para os pulsos sech e tanh. A partir desse procedimento encontramos um conjunto de resultados com os quais é possível inferir analiticamente o comportamento característico da magnetização, tendo como objetivo obter um maior controle da magnetização a partir dos parâmetros da metodologia que proporcionam interpretação física. / The Gradient-Modulated Adiabatic Excitation (GMAX) methodology is characterized by the use of adiabatic pulses for volume localization in spectroscopy and slice selection in MRI. Its use derives from the interesting nodal point transverse magnetization profile induced throughout the sample. Nevertheless, the interpretation of such behavior for the magnetization has been of qualitative purpose only, using the adiabatic condition as a starting point. Here, we present an analytical description, starting from the solution in terms of the hypergeometric functions for sech and tanh pulses. From this procedure we found a set of results with which is possible to infer analytically the characteristic behavior of the magnetization. This is on the purpose of obtaining greater control of the magnetization from parameters of the methodology that carry physical interpretation.

Disponibilidade dos recursos energéticos junto com o despertar da consciência ambiental criaram um interesse por uma condição climática sensível compatível com os recursos disponíveis. Dentro desse cenário o trabalho se volta à necessidade de se criarem e manterem ambientes industriais termicamente adequados aos processos de produção para minimizar as interferências que as condições ambientais exercem sobre os custos dos processos de produtivos e sobre o consumo energético. Os sistemas de resfriamento evaporativo, por sua vez, têm sido a ferramenta de maior potencial de aplicação na criação de ambientes termicamente adequados aos processos. Este modelo revisto de conforto térmico nos coloca um passo à frente para o aumento eficiência energética na construção de projeto de climatização vinculados a temperaturas interiores que atendam conjuntamente tanto aos ocupantes como às atividades que desenvolvem no interior da área climatizada. Apesar de esse sistema apresentar vantagens operacionais, quando comparado a outros sistemas convencionais, existem certas limitações no seu desempenho. Uma das maiores dificuldades das instalações destes sistemas reside na existência de incertezas em qualquer resultado. Possibilitar um controle dos parâmetros, minimizando os erros de aplicação, evitando criar no ambiente um desconforto de tal grau que inviabilize sua aplicação, é o fundamento deste trabalho. A busca passa a ser pela garantia da aceitabilidade dos resultados do sistema projetado e seus limites de aplicabilidade. O estudo das variáveis que interferem no processo do resfriamento por micro aspersão permitiu desenvolver um processo que alterara esses parâmetros durante o funcionamento do sistema, interferindo, conforme a necessidade no seu desempenho, garantindo a completa evaporação da água micro aspergida. / Energy resources along with an environmental conscience awakening has created an interest in sensitive climate together with a more understanding regarding the use of available resources. Inside this scenario our work focus on the needs of creating and maintaining industrial environments thermally suited to these production processes that seeking to minimize interference that environmental conditions have on the costs of production processes and energy consumption. Evaporative cooling systems, in turn, has been a interesting tool to be used in the creation of thermally suitable environments to these processes. This new revised thermal comfort model puts us a step forward to increase energy efficiency in elaborating air treatment projects linked to indoor temperatures that meet both the occupants and the activities that develop inside the controlled area. Although this system has operational advantages when compared to other conventional systems, there are some limitations in their performance. A major difficulty of the installation envolving these systems is about the existence of uncertainty in any results. To allow the control of these parameters in order to minimize the errors in this kind of application and to avoid creating environmental discomfort to such a degree that prevent the implementation, it is the foundation of this work. The search is to ensure the acceptability of the results of the system designed and their limits of applicability. The study of the variables that affect the cooling process by misting allowed us to develop a process that altered these parameters during operation of the system, interfering, as required in its performance, ensuring complete evaporation of water applied by misting in the area.

La convection thermique dans les objets naturels de grande taille est associée à de fortes variations de la pression, hydrostatique au premier ordre. C’est le cas pour l’atmosphère de la Terre (et d’autres planètes), les planètes gazeuses géantes, les étoiles, mais aussi l’intérieur des planètes telluriques. De part l’importance des effets de compressibilité, l’approximation de Boussinesq n’y est pas vérifiée et d’autres modèles, comportant également des approximations, sont utilisés : les modèles anélastiques. Toutefois, peu d’expériences ont été réalisées pour les vérifier. Cette thèse présente une expérience dont les paramètres ont été optimisés afin d’obtenir des effets de compressibilité importants en laboratoire. Pour ce faire, une gravité apparente forte est obtenue à l’aide d’une centrifugeuse et du xénon gazeux est utilisé, nous permettant d’atteindre un nombre de dissipation significatif. Ces expériences ont permis l’observation en laboratoire d’un gradient adiabatique de 3 K/cm et d’un exposant de 0,3 pour la loi de puissance caractérisant le transfert thermique turbulent entre le nombre de Nusselt et le nombre de Rayleigh superadiabatique.L’étude des fluctuations de pression et de température montrant que l’écoulement est quasi-geostrophique dû à la forte rotation imposée par la centrifugeuse, un modèle anélastique quasi-géostrophique est développé afin de réaliser des simulations numériques bidimensionnelles relatives à l’expérience. / In large natural objects, thermal convection is associated with large pressure differences, mainly due to hydrostatic balance. This is true in the atmosphere of the Earth (and other planets), in gas giant planets, in stars, but also in the interior of telluric planets. Boussinesq approximation is not valid owing to large compressibility effects, and other approximate models can be used to model these objects, like the anelastic approximation. However, very few experiments have been performed to assess these models. In the present PhD thesis, an experiment is shown, with parameters designed to maximize compressibility effects in a laboratory. In this perspective, an enhanced apparent gravity is obtained using a centrifuge, and Xenon gas is used, allowing us to reach a significant dissipation parameter. In our experiments, we have observed an adiabatic gradient of 3~K/cm and the power law between the superadiabatic Rayleigh number and the Nusselt number measuring the turbulent heat transfer is characterized by an exponent 0.3.Measurements of temperature and pressure fluctuations show that the flow is quasi-geostrophic as a result of the strong rotation rate of the centrifuge. An anelastic, quasi-geostrophic model has then been developed and solved numerically in the same configuration as the experiments.

Cette étude s’inscrit dans le domaine de la description de la dynamique des ceintures deradiation terrestres. Elle consiste à modéliser le phénomène de diffusion radiale en travaillantavec une résolution spatio-temporelle plus fine que celle utilisée pour décrire la dynamiquedes ceintures par le biais d’une équation de diffusion. La démarche s’est organisée en troistemps. Tout d’abord, l’objectif a été d’étudier le phénomène de diffusion radiale d’un point devue théorique afin de mettre en lumière les principaux pilotes du processus et d’expliciter uneformulation des coefficients de diffusion radiale. Une fois l’expression de ces coefficientsétablie, l’objectif a ensuite été de les quantifier. Pour cela, nous avons développé desprotocoles analytiques et numériques puis des protocoles expérimentaux. Nous avons discutéles résultats obtenus ainsi que les atouts et les limites de ces protocoles. Cette étude met enévidence le rôle central de l’asymétrie des variations du champ électromagnétique et deschamps électriques induits dans le processus de diffusion radiale. Elle propose des pistes pourla quantification numérique et expérimentale de ces deux pilotes. Elle apporte également unregard critique sur les travaux de la littérature. Elle ouvre la voie pour une nouvellequantification des coefficients de diffusion basée sur une modélisation adéquate de ladynamique de l’environnement électromagnétique / This study falls within the field of the Earth’s radiation belt dynamics. It consists of modelingthe radial diffusion process based on a spatiotemporal resolution higher than the resolution atwhich radiation belt dynamics are described in terms of a diffusion equation. The approachhas been organized in three parts. First, we described radial diffusion theoretically,highlighting the main drivers of the phenomenon and giving a ready-made formula of theradial diffusion coefficients. Then, based on this formula, we aimed to quantify the radialdiffusion coefficients. In order to reach this goal, we developed analytical and numericalprocedures, and then, observational procedures. Finally, we discussed the results and the prosand cons of each method. This study highlights the central role of asymmetric variations ofthe electromagnetic fields and induced electric fields in the driving of the intensity of theradial diffusion process. It provides tracks for numerical and experimental quantification ofthese two drivers. It also provides tools for a critical review of the literature. It paves the wayfor a more accurate determination of radial diffusion coefficients based on a more precisedescription of the electromagnetic environment and its variations.

Les matériaux à haute résistance, notamment les aciers et les alliages à base d'aluminium et de titane, sont largement utilisés dans l'aéronautique comme matériaux structuraux et de protection. Dans le cas de surcharges accidentelles impliquant des vitesses de chargement élevées et des conditions quasi adiabatiques, ces matériaux sont souvent sensibles au cisaillement adiabatique par bande. Les bandes de cisaillement adiabatique (BCA) sont des zones étroites de cisaillement intense qui résultent d'une instabilité thermomécanique et qui conduisent à une rupture prématurée du matériau. À un stade avancé du processus de localisation, des micro-cavités (MCs) ont été observées dans les BCAs. Ces MCs peuvent coalescer pour former des fissures et mener à la rupture de la structure. Ainsi, les mécanismes couplés d'ASB+MC agissent comme un précurseur à la rupture catastrophique et il est par conséquent important de modéliser numériquement leurs effets dans des structures soumises à des sollicitations à haute vitesse. Les BCAs apparaissent aussi dans certaines applications industrielles, telles que l'usinage à grande vitesse, où elles favorisent le festonnement du copeau. Un postulat de grande échelle est appliqué ici où la longueur caractéristique du volume élémentaire représentatif (VER) est plus grande que la largeur de bande, et non l'inverse comme fait communément. L'objectif du travail présenté est d'enrichir un modèle décrivant les effets des BCAs en prenant en compte les conséquences de l'endommagement par MC dans le processus progressif de la rupture. Les effets des BCAs et des MCs sur la réponse du VER sont doubles : cinématique, à savoir une déviation progressif de l'écoulement plastique dans le plan de la bande décrite via des gradients de vitesse induits par les BCAs et par les MCs; et matériel, à savoir une dégradation anisotrope des modules élastiques et plastiques décrite via des variables tensorielles d'ordre deux de détérioration induite par les BCAs et par les MCs. L'amorçage des BCAs est déterminé à partir d'une analyse linéaire de stabilité et celui des MCs par une valeur critique du taux de restitution d'énergie local. L'intérêt de ce modèle avancé est démontré par comparaison avec un modèle orienté application du type (1-D) où D est une variable de détérioration isotrope. Le modèle enrichi ASB+MC est implémenté comme matériau utilisateur dans le code de calculs commercial par éléments finis LS-DYNA. [...] / High strength metallic materials, notably steel and light-weight titanium and aluminium alloys, are widely used in aeronautical and other structures. In case of accidental overload involving high strain rates and quasi adiabatic conditions, these materials are often susceptible to adiabatic shear banding. The adiabatic shear bands (ASB) are intense shear localisation zones resulting from thermomechanical instability and provoking premature material failure. At an advanced stage of the localisation process, the ASBs have been shown to contain micro-voids (MV) which may coalesce to form cracks and ultimately lead to the fracture of the structure. Thus the coupled mechanisms of ASB+MV act as a precursor to catastrophic failure and it is consequently crucial to numerically model their formation and effects when dealing with structures submitted to high loading rates. The ASBs are also observed in industrial applications such as high speed machining where their formation favours the chip serration. A large scale postulate is used herein to obtain a global insight into the structural material response. The shear band cluster is indeed contained/ embedded within the representative volume element (RVE), and not the opposite as usually considered. The objective here is to enrich a model describing the ASB effects by taking into account the consequences of the micro-voiding within the progressive failure process. The effects of ASB and MV initiation and evolution on the RVE (material point) response are double: kinematic, namely a progressive deviation of the plastic flow in the band plane described via specific ASB and MV induced velocity gradients; and material, namely a progressive anisotropic degradation of the elastic and plastic moduli described via ASB and MV induced second order tensor deterioration variables. The ASB onset criterion is derived from the linear perturbation analysis and the MV is activated using a critical value for the local energy release rate. The interest of this advanced constitutive model is emphasised by comparison with an application oriented (1-D) model where D is a scalar damage variable. [...]

<p>The effects of open system evolution on single particle interferometry, quantum computation, and the adiabatic approximation are investigated.</p><p>Single particle interferometry: Three concepts concerning completely positive maps (CPMs) and trace preserving CPMs (channels), named subspace preserving (SP) CPMs, subspace local channels, and gluing of CPMs, are introduced. SP channels preserve probability weights on given orthogonal sum decompositions of the Hilbert space of a quantum system. Subspace locality determines what channels act locally with respect to such decompositions. Gluings are the possible total channels obtainable if two evolution devices, characterized by channels, act jointly on a superposition of a particle in their inputs. It is shown that gluings are not uniquely determined by the two channels. We determine all possible interference patterns in single particle interferometry for given channels acting in the interferometer paths. It is shown that the standard interferometric setup cannot distinguish all gluings, but a generalized setup can.</p><p>Quantum computing: The robustness of local and global adiabatic quantum search subject to decoherence in the instantaneous eigenbasis of the search Hamiltonian, is examined. In both the global and local search case the asymptotic time-complexity of the ideal closed case is preserved, as long as the Hamiltonian dynamics is present. In the case of pure decoherence, where the environment monitors the search Hamiltonian, it is shown that the local adiabatic quantum search performs as the classical search with scaling N, and that the global search scales like N^3/2 , where N is the list length. We consider success probabilities p<1 and prove bounds on the run-time with the same scaling as in the conditions for the p → 1 limit.</p><p>Adiabatic evolution: We generalize the adiabatic approximation to the case of open quantum systems in the joint limit of slow change and weak open system disturbances. </p>

The effects of open system evolution on single particle interferometry, quantum computation, and the adiabatic approximation are investigated. Single particle interferometry: Three concepts concerning completely positive maps (CPMs) and trace preserving CPMs (channels), named subspace preserving (SP) CPMs, subspace local channels, and gluing of CPMs, are introduced. SP channels preserve probability weights on given orthogonal sum decompositions of the Hilbert space of a quantum system. Subspace locality determines what channels act locally with respect to such decompositions. Gluings are the possible total channels obtainable if two evolution devices, characterized by channels, act jointly on a superposition of a particle in their inputs. It is shown that gluings are not uniquely determined by the two channels. We determine all possible interference patterns in single particle interferometry for given channels acting in the interferometer paths. It is shown that the standard interferometric setup cannot distinguish all gluings, but a generalized setup can. Quantum computing: The robustness of local and global adiabatic quantum search subject to decoherence in the instantaneous eigenbasis of the search Hamiltonian, is examined. In both the global and local search case the asymptotic time-complexity of the ideal closed case is preserved, as long as the Hamiltonian dynamics is present. In the case of pure decoherence, where the environment monitors the search Hamiltonian, it is shown that the local adiabatic quantum search performs as the classical search with scaling N, and that the global search scales like N3/2 , where N is the list length. We consider success probabilities p&lt;1 and prove bounds on the run-time with the same scaling as in the conditions for the p → 1 limit. Adiabatic evolution: We generalize the adiabatic approximation to the case of open quantum systems in the joint limit of slow change and weak open system disturbances.

Quantum computation has attracted a great deal of attention from the scientific community in recent years. By using the quantum mechanical phenomena of superposition and entanglement, a quantum computer can solve certain problems much faster than classical computers. Several quantum algorithms have been developed to demonstrate this quantum speedup. Two important examples are Shor’s algorithm for the factorization problem, and Grover’s algorithm for the search problem. Significant efforts are on to build a large scale quantum computer for implementing these quantum algorithms. This thesis deals with Grover’s search algorithm, and presents its several generalizations that perform better in specific contexts. While writing the thesis, we have assumed the familiarity of readers with the basics of quantum mechanics and computer science. For a general introduction to the subject of quantum computation, see [1]. In Chapter 1, we formally define the search problem as well as present Grover’s search algorithm [2]. This algorithm, or more generally the quantum amplitude amplification algorithm [3, 4], drives a quantum system from a prepared initial state (s) to a desired target state (t). It uses O(α-1 = | (t−|s)| -1) iterations of the operator g = IsIt on |s), where { IsIt} are selective phase inversions selective phase inversions of the corresponding states. That is a quadratic speedup over the simple scheme of O(α−2) preparations of |s) and subsequent projective measurements. Several generalizations of Grover’s algorithm exist. In Chapter 2, we study further generalizations of Grover’s algorithm. We analyse the iteration of the search operator S = DsI t on |s) where Ds is a more general transformation than Is, and I t is a selective phase rotation of |t) by angle . We find sufficient conditions for S to produce a successful quantum search algorithm. In Chapter 3, we demonstrate that our general framework encapsulates several previous generalizations of Grover’s algorithm. For example, the phase-matching condition for the search operator requires the angles and and to be almost equal for a successful quantum search. In Kato’s algorithm, the search operator is where Ks consists of only single-qubit gates, which are easier to implement physically than multi-qubit gates. The spatial search algorithms consider the search operator where is a spatially local operator and provides implementation advantages over Is. The analysis of Chapter 2 provides a simpler understanding of all these special cases. In Chapter 4, we present schemes to improve our general quantum search algorithm, by controlling the operators through an ancilla qubit. For the case of two dimensional spatial search problem, these schemes yield an algorithm with time complexity . Earlier algorithms solved this problem in time steps, and it was an open question to design a faster algorithm. The schemes can also be used to find, for a given unitary operator, an eigenstate corresponding to a specified eigenvalue. In Chapter 5, we extend the analysis of Chapter 2 to general adiabatic quantum search. It starts with the ground state |s) of an initial Hamiltonian Hs and evolves adiabatically to the target state |t) that is the ground state of the final Hamiltonian The evolution uses a time dependent Hamiltonian HT that varies linearly with time . We show that the minimum excitation gap of HT is proportional to α. Also, the ground state of HT changes significantly only within a very narrow interval of width around the transition point, where the excitation gap has its minimum. This feature can be used to reach the target state (t) using adiabatic evolution for time In Chapter 6, we present a robust quantum search algorithm that iterates the operator on |s) to successfully reach |t), whereas Grover’s algorithm fails if as per the phase-matching condition. The robust algorithm also works when is generalized to multiple target states. Moreover, the algorithm provides a new search Hamiltonian that is robust against certain systematic perturbations. In Chapter 7, we look beyond the widely studied scenario of iterative quantum search algorithms, and present a recursive quantum search algorithm that succeeds with transformations {Vs,Vt} sufficiently close to {Is,It.} Grover’s algorithm generally fails if while the recursive algorithm is nearly optimal as long as , improving the error tolerance of the transformations. The algorithms of Chapters 6-7 have applications in quantum error-correction, when systematic errors affect the transformations The algorithms are robust as long as the errors are small, reproducible and reversible. This type of errors arise often from imperfections in apparatus setup, and so the algorithms increase the flexibility in physical implementation of quantum search. In Chapter 8, we present a fixed-point quantum search algorithm. Its state evolution monotonically converges towards |t), unlike Grover’s algorithm where the evolution passes through |t) under iterations of the operator . In q steps, our algorithm monotonically reduces the failure probability, i.e. the probability of not getting |t), from . That is asymptotically optimal for monotonic convergence. Though the fixed-point algorithm is of not much use for , it is useful when and each oracle query is highly expensive. In Chapter 9, we conclude the thesis and present an overall outlook.

In the study a class of multisector network models, suitable for simulation of the interaction between production, demand, trade, and infrastructure, is presented. A characteristic feature of the class is a vintage model of the production system. Hence, the rigidities in existing capacities and the temporary monopolies obtainable from investments in new capacity at favourable locations are emphasized.As special cases, the class contains models in the modelling traditions of "interregional computable general equilibriunT, Hspatial price equilibrium**, "interregional input-output" and transportation networks.On the demand side, a multihousehold spatial linear expenditure system is introduced. This allows for an endogenous representation of income effects of skill-differentiated labour.The models are represented by a set of complementarity problems. This facilitates a comparison of model properties and the choice of an appropriate solution algorithm.The study is mainly devoted to single period models. Such equilibrium models are interpreted as adiabatic approximations of processes in continuous time. A separation by the time scale of the processes and an application of the slaving principle should thus govern the choice of endogenous variables in the equilibrium formulation. / digitalisering@umu