No description available.

Building a quantum computer is a formidable challenge. In this thesis, we focus on two projects, which tackle very different aspects of quantum computation, and yet still share a common goal in hopefully getting us closer to implementing a quantum computer on a large scale. The first project involves a numerical error threshold calculation of a quantum error correcting code called a surface code. These are local check codes, which means that only nearest neighbour interaction is required to determine where errors occurred. This is an important advantage over other approaches, as in many physical systems, doing operations on arbitrarily spaced qubits is often very difficult. An error threshold is a measure of how well a given error correcting scheme performs. It gives the experimentalists an idea of which approaches to error correction hold greater promise. We simulate both toric and planar variations of a surface code, and numerically calculate a threshold value of approximately $6.0 \times 10^{-3}$, which is comparable to similar calculations done by others \cite{Raussendorf2006,Raussendorf2007,Wang2009}. The second project deals with coupling superconducting flux qubits together. It expands the scheme presented in \cite{Plourde2004} to a three qubit, two coupler scenario. We study L-shaped and line-shaped coupler geometries, and show how the coupling strength changes in terms of the dimensions of the couplers. We explore two cases, the first where the interaction energy between two nearest neighbour qubits is high, while the coupling to the third qubit is as negligible as possible, as well as a case where all the coupling energies are as small as possible. Although only an initial step, a similar scheme can in principle be extended further to implement a lattice required for computation on a surface code.

Building a quantum computer is a formidable challenge. In this thesis, we focus on two projects, which tackle very different aspects of quantum computation, and yet still share a common goal in hopefully getting us closer to implementing a quantum computer on a large scale. The first project involves a numerical error threshold calculation of a quantum error correcting code called a surface code. These are local check codes, which means that only nearest neighbour interaction is required to determine where errors occurred. This is an important advantage over other approaches, as in many physical systems, doing operations on arbitrarily spaced qubits is often very difficult. An error threshold is a measure of how well a given error correcting scheme performs. It gives the experimentalists an idea of which approaches to error correction hold greater promise. We simulate both toric and planar variations of a surface code, and numerically calculate a threshold value of approximately $6.0 \times 10^{-3}$, which is comparable to similar calculations done by others \cite{Raussendorf2006,Raussendorf2007,Wang2009}. The second project deals with coupling superconducting flux qubits together. It expands the scheme presented in \cite{Plourde2004} to a three qubit, two coupler scenario. We study L-shaped and line-shaped coupler geometries, and show how the coupling strength changes in terms of the dimensions of the couplers. We explore two cases, the first where the interaction energy between two nearest neighbour qubits is high, while the coupling to the third qubit is as negligible as possible, as well as a case where all the coupling energies are as small as possible. Although only an initial step, a similar scheme can in principle be extended further to implement a lattice required for computation on a surface code.

archives@tulane.edu / 1 / Malathy Pratheepkumar

Orientador: José Antonio Roversi / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Física Gleb Wataghin / Made available in DSpace on 2018-08-18T22:02:19Z (GMT). No. of bitstreams: 1 GonzalezHenao_JulioCesar_M.pdf: 3018273 bytes, checksum: 8a7504d4a51886c5befb08df936170c0 (MD5) Previous issue date: 2011 / Resumo: Nesta dissertação estudamos um sistema formado por dois íons de dois níveis aprisionados em cavidades ópticas acopladas, onde analisamos a transferência de estados de dois qubits a partir dos graus de liberdade (de movimento unidimensional e dos estados internos) de um dos íons para o outro. Para o acoplamento entre as cavidades consideramos dois mecanismos diferentes: (1) onde acoplamento é dado pela sobreposição dos campos (acoplamento direto) e (2) via fibra óptica. Em ambos casos foram utilizadas aproximações onde participam apenas um ou dois modos normais coletivos na transferência do estado. Tambem observamos que , na aproximação com dois modos normais, uma melhor transferência dos qubits no sistema acoplado por fibra óptica, quando é comparado com o sistema acoplado diretamente. Por último, estudamos, na aproximação com um só modo normal de transferência, os efeitos de reservatórios térmicos sobre a transferência dos qubits no sistema de íons aprisionados em cavidades acopladas via fibra óptica. Tais reservatórios foram representados pelos processos de emissão espontânea e flutuações na armadilha a temperaturas T = 0. Os resultados mostram que os reservatórios geram perdas na fidelidade da transferência dos qubits / Abstract: In this work we studied a system consisting of a pair of two-level trapped ions in coupled optics cavities, where we analyze the transfer of states of two qubits from the degrees of freedom (of movement and of internal states) of one ion to another. For the coupling between the cavities we consider two different mechanisms: One where the coupling is given by the overlap of the fields (direct coupling) and one optical fiber. In both cases we use aproximations in which only one or two collective normal modes are envolved in the transfer of the state. From these calculations we have noted that in the aproximations with two normal modes a better transfer of the qubit in the system coupled by optical fiber, compared with the system connected directly. Finally, we studied the effects of thermal reservoirs in system of trapped ions in cavities coupled via optical fiber in the proximity of the one normal mode transfer. These reservoirs represent the processes of spontaneous emission and fluctuations in the trap for T = 0 / Mestrado / Física / Mestre em Física

Un des plus grands challenges dans le domaine de l’information quantique est la génération, manipulation et détection de plusieurs qubits sur des micro-puces. On assiste ainsi à un véritable essor des technologies pour l’information quantique et pour transmettre l’information, les photons ont un grand avantage sur les autres systèmes, grâce à leur grande vitesse et leur immunité contre la décohérence.Mon travail de thèse porte sur la conception, fabrication et caractérisation d’une source de photons intriqués en matériaux semiconducteurs d’une très grande compacité. Ce dispositif fonctionne à température ambiante, et émet dans la bande de longueurs d’onde télécom. Après une présentation des concepts fondamentaux (chap. 1), le chap. 2 explique la conception et la fabrication des dispositifs.Le chap. 3 présente les caractérisations opto-électroniques des échantillons pompés électriquement, et le chap. 4 les résultats des mesures de pertes et des caractérisations non-linéaires optiques (génération de seconde harmonique, conversion paramétrique spontanée et reconstruction de l’intensité spectrale jointe). Les chap. 5 et 6 se concentrent sur la caractérisation des états quantiques générés par un dispositif passif (démonstration de l’indiscernabilité et de l’intrication en énergie-temps) et leur utilisation dans un protocole de distribution de clés quantiques multi-utilisateurs (intrication en polarisation). Finalement le travail sur le premier dispositif produisant des pairs de photons dansles longueurs d’onde télécoms, injecté électriquement et fonctionnant à température ambiante est présenté (chap. 7). / One of the main issues in the domain of quantum information and communication is the generation,manipulation and detection of several qubits on a single chip. Several approaches are currentlyinvestigated for the implementation of qubits on different types of physical supports and a varietyof quantum information technologies are under development: for quantum memories, spectacularadvances have been done on trapped atoms and ions, while to transmit information, photons arethe ideal support thanks to their high speed of propagation and their almost immunity againstdecoherence. My thesis work has been focused on the conception, fabrication and characterization ofa miniaturized semiconductor source of entangled photons, working at room temperature and telecomwavelengths. First the theoretical concepts relevant to understand the work are described (chapter1). Then the conception and fabrication procedures are given (chapter 2). Chapter 3 presents theoptoelectronics characterization of the device under electrical pumping, and chapter 4 the resultson the optical losses measurements and the nonlinear optical characterization (second harmonicgeneration, spontaneous parametric down conversion and joint spectral intensity reconstruction).Chapters 5 and 6 focus on the characterization of the quantum state generated by a passive sample(demonstration of indistinguishability and energy-time entanglement) and its utilization in a multiuserquantum key distribution protocol (polarization entanglement). Finally the work on the firstelectrically driven photon pairs source emitting in the telecom range and working at room temperatureis presented (chapter 7).

La théorie du calcul quantique se situe à la frontière de la physique quantique et de l’informatique. Par conséquent, les deux domaines contribuent à la rendre d’autant plus riche en apportant leurs propres méthodes et outils mathématiques. La présente thèse tente de mettre en évidence cette particularité en traitant des problématiques qui vont la physique expérimentale aux modèles de calcul. Le but est d’offrir de nouvelles possibilités pour démontrer un avantage quantique. Après une brève introduction aux notions de base de la mécanique quantique, certains aspects liés à l’informatique sont discutés. Le formalisme des classes de complexité quantiques ainsi que le concept du calcul quantique en variables continues sont décrits. Ensuite, le modèle connu comme instantaneous quantum computing est traduit en variables continues, le rendant attrayant d’un point de vue expérimental. Le chapitre conclut sur une discussion concernant un protocole hybride impliquant l’algorithme de Grover dans le cadre des communications quantiques. La dernière partie de la thèse s’intéresse à des problématiques issues de la physique expérimentale. Le lien entre l’effet Hong-Ou-Mandel et la fonction de Wigner d’un état à deux photons est mise en évidence, et un protocole expérimental est décrit en conséquence. La suite traite du domaine des circuits supraconducteurs et envisage de possibles expériences. Il est montré comment utiliser un qubit de flux pour manipuler un centre coloré du diamant. Il est également décrit comment sonder le modèle de Rabi dans le régime de couplage ultra fort en utilisant un qubit supplémentaire faiblement couplé. / The theory of quantum computing lies at the very boundary between quantum physics and computer science. As such, both fields bring their own methods and mathematical tools to make quantum computing even richer. The present thesis attempts to reflect this specificity by addressing questions ranging from experimental physics to computational models. The goal is to provide novel ways of demonstrating quantum advantage. After a short introduction to basic notions of quantum mechanics, some computer science aspects are discussed. We describe the powerful formalism of quantum complexity classes and the concept of quantum computations based on continuous variables. We then translate the model of instantaneous quantum computing to continuous variables, which is experimentally appealing. The chapter concludes with a discussion on a hybrid protocol involving Grover’s algorithm in a quantum communication framework. The last part of the thesis is devoted to experimentally driven issues. A fundamental connection between the Hong-Ou-Mandel experiment and the Wigner function of two-photon states is derived and a verification protocol is designed accordingly. We then move to the field of superconducting circuits to discuss proposals for future experiments. We show how to use a flux qubit to manipulate a NV color center. We also describe how to use to probe the Rabi model in the ultra strong coupling regime using an additional weakly coupled qubit.

No description available.

Josephson junctions are dissipationless elements used notably in superconducting nanocircuits. While being indispensable for the making of superconducting quantum bits, they are plagued by intrinsic noise mechanisms that reduce the coherence time of the quantum devices. An important source of such fluctuations may come from the non-cristallinity and disorder of the oxide layer sandwiched between the two superconducting leads. In this work, roughness in a Josephson junction is modeled as a set of pinholes with a universal bimodal distribution of transmission eigenvalues that sum incoherently in the noise power. Each of these channels is treated as a ballistic quantum point contact with a thin barrier that determines the transmission eigenvalue. The noise spectrum is calculated using the quasiclassical Green's function method to analyze high and low transmission limits at non-zero temperature for all interesting frequencies. As suggested by experiments, low transmission channels generate shot noise while fast switching between subgap states creates strong non-poissonian low-frequency noise. However, when analyzed for three different universal models of disorder, the principal contribution to noise is found to come from the partially opened channels. Finally, fluctuations of the noise from sample to sample is seen to be dominated by the contribution of opened channels which may reduce the reproducibility of results between different experiments.

Josephson junctions are dissipationless elements used notably in superconducting nanocircuits. While being indispensable for the making of superconducting quantum bits, they are plagued by intrinsic noise mechanisms that reduce the coherence time of the quantum devices. An important source of such fluctuations may come from the non-cristallinity and disorder of the oxide layer sandwiched between the two superconducting leads. In this work, roughness in a Josephson junction is modeled as a set of pinholes with a universal bimodal distribution of transmission eigenvalues that sum incoherently in the noise power. Each of these channels is treated as a ballistic quantum point contact with a thin barrier that determines the transmission eigenvalue. The noise spectrum is calculated using the quasiclassical Green's function method to analyze high and low transmission limits at non-zero temperature for all interesting frequencies. As suggested by experiments, low transmission channels generate shot noise while fast switching between subgap states creates strong non-poissonian low-frequency noise. However, when analyzed for three different universal models of disorder, the principal contribution to noise is found to come from the partially opened channels. Finally, fluctuations of the noise from sample to sample is seen to be dominated by the contribution of opened channels which may reduce the reproducibility of results between different experiments.