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archives@tulane.edu / With the advent of lasers the spatial shape of paraxial light also became an avenue for information processing and transfer applications. The light sources that support multiple of these spatial modes as separate, multiplexed information channels are readily used through classical optical implementations such as free-space optical communication, and to enhance the capacity of these channels. Recently, the hot atomic vapour based non-linear optical systems showed promise for the usage of paraxial multiple spatial modes of light for quantum information applications such as quantum communication, quantum networking, quantum computation and various other quantum technologies. In this dissertation, we use analytical, numerical, statistical and experimental techniques to model the propagation of multi-spatial light through various classical and non-linear systems to be able to steer, optimize and control the quantum states generated for quantum technologies applications. In the first chapter, we give a general introduction to classical (both linear & non-linear) and quantum (both linear \& non-linear) optical systems we are going to analyze. In the second chapter, we use a numerical, Fourier transform based beam propagation technique to examine the self-healing of a generic beam that is generated through an atomic process. In the third chapter, we analyzed our hot atomic vapour four-wave mixing experiment that uses a special type of multiple paraxial spatial mode to drive the non-linear optical process through numerical modeling of Fraunhofer diffraction. In the fourth chapter, we devise a coherent, analytically and quantum mechanically motivated beam propagation method based on decomposing the paraxial beam into its constituent multiple spatial modes. We calibrate this method by using the numerical, experimental and theoretical results of the previous chapters to model how the multiple spatial modes propagate through spatial masks that represent apertures, obstructions, atmospheric turbulence. In the fifth chapter, we extend the beam decomposition formalism into semi-classical and full quantum mechanical optical systems to model seeded hot-atomic vapour four-wave mixing experiments. We again calibrate our numerical models of intensity difference squeezing using the previous experimental results. Next, we use these calibrated models to devise a scheme to optimally generate multi-mode squeezed states. Lastly, in the sixth chapter, we turn our attention into estimating the quantum state of discrete variable, polarization qubit systems using machine learning and various other stochastic techniques. We improve these well studied systems to detect the quantum states in real time, in the presence of noise, and in the absence of various measurements using machine learning. We study these discrete variable, polarization qubit systems both as a gateway and a complement to study the tomographic reconstruction of continuous variable quantum optical systems of the previous chapters, in order to achieve our general goal of having a general estimation, steering and control methodology for quantum networking applications. / 1 / ONUR DANACI

archives@tulane.edu / Quantum nonlinear optics has opened up avenues to defy the measurement, sensing, and amplification limits inherent in classical physics. Separately, the use of multimode or spatially structured states in light-based communications allows for remarkable increases in the amount of information that may be transferred by an individual communication or light pulse. In this dissertation, we apply these two boundary-pushing concepts to several experimental projects, with a primary goal to hasten and facilitate the implementation of quantum and classical free-space optical communications schemes into real-life scenarios. We start by applying neural networks to the optimization of spatially-structured and pulsed light communications in Chapter 2, wherein our networks successfully learn to predict distorted optical pulses and classify noisy light patterns carrying non-zero orbital angular momentum. Chapter 3 focuses on four-wave mixing, a nonlinear light-matter interaction in atomic vapor that we use to construct quantum-correlated light beams with nontrivial structures as well as a novel phase-sensitive amplifier. Finally, we continue to take advantage of the complex nonlinear response of atomic vapor in Chapter 4, this time to create "self-regenerating" light beams whose cross-sections resemble Bessel-Gauss functions. / 1 / Erin Knutson

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This thesis probes the usefulness of non-classical correlations within imperfect continuous variable decoherent quantum systems. Although a consistent function and practical usefulness of these correlations is largely unknown, it is important to examine their characteristics in more realistic dissipative systems, to gain further insight into any possible advantageous behaviour. A bipartite separable discordant state under the action of controlled loss on one subsystem was considered. Under these conditions the Gaussian quantum discord not only proved to be robust against loss, but actually improves as loss is intensified. Harmful imperfections which reduce the achievable level of discord can be counteracted by this controlled loss. Through a purification an explanation of this effect was sought by considering system-environment correlations, and found that a flow of system-environment correlations increases the quantumness of the state. Entanglement recovery possibilities were discussed and revealed the importance of hidden quantum correlations along bi-partitions across the discordant state and a classically prepared "demodulating" system, acting in such a way as to partially cancel the entanglement preventing noise. Entanglement distribution by separable states was studied by a similar framework, in an attempt to explain the emergence of quantum entanglement by a specific flow of correlations in the globally pure system. Discord appears to play a less fundamental role compared to the qubit version of the protocol. The strengthening of non-classical correlations can be attributed to a flow of classical and quantum correlations. This work proves that discord can be created in unique ways and, in select circumstances, can act to counteract harmful imperfections in the apparatus. Due to this advantageous behaviour discord indeed may ultimately aid in more applicable "real world" applications, which are by definition decoherent.

La dissertation explore différentes applications des fibres optiques en ingénierie quantique. Deux thématiques sont développées :d'une part l'utilisation des fibres optiques monomodales en silice pour l'implémentation d'algorithmes et de protocoles de communication quantiques et d'autre part l'utilisation de la non-linéarité de ces fibres pour réaliser des sources de paires de photons corrélés. L'étude est à la fois théorique et expérimentale./ The dissertation explores various uses of optical fibers for quantum engineering. Two topics are developed :first the use of single-mode silica fibers for implementing quantum algorithms and communication protocols, second the use of these fibers for generating correlated photon-pairs. / Doctorat en sciences appliquées / info:eu-repo/semantics/nonPublished

In the twentieth century, the founding fathers of quantum mechanics explored the implications of their theory by designing gedanken experiments. In recent years, continuous improvement of the experimental manipulation of individual quantum systems has opened the way to exciting research, both on blackboards and in laboratories, and even towards field experiments. The manipulation of individual quantum systems is the basis for quantum information processing: when an information content is associated with transformations and measurements of quantum systems, it offers a new paradigm, full of potentialities, to information theory. This leads to quantum random number generation, quantum computing, quantum communication, including quantum teleportation and quantum cryptography, etc. One of the promises of quantum information is the realization of a quantum internet: quantum communication links would allow to share quantum states between the nodes (quantum computers) of the network.<p><p>Our work lies in the context of experimental quantum optics in optical fibers at telecommunication wavelengths, in view of quantum communication applications. More particularly, we study photon pairs entangled in their energy-time degree of freedom. The traditional approach to manipulate energy-time entangled photons is based on the notion of time bin: quantum information is encoded in the relative phase between distinct spatio-temporal paths, which interfere via Mach-Zehnder interferometers. The aim of our work is to demonstrate an alternative approach to manipulate energy-time entangled photons in optical fibers at telecommunication wavelengths. We investigate and implement an original method for their manipulation by building on proven techniques for their production, transmission and detection (namely nonlinear waveguides, optical fibers and single-photon detectors, respectively). The photon pairs produced by a parametric down-conversion source are sent through independent electro-optic phase modulators, which act as high-dimensional frequency beam splitters, transforming the photonic states in the frequency domain. We then use frequency filters to discriminate the photons' frequencies. Such experimental methods, whose classical origin can be traced back to coherent communication, have been previously used with attenuated coherent states as approximations of single photons.<p><p>In the present work, we aim to show that frequency-bin entanglement provides an interesting alternative platform for quantum communication. Our main experimental results towards this goal are the obtaining of high-visibility two-photon interference patterns allowing Bell inequality violations. Our method provides decisive advantages: high dimensionality, use of standard optical and optoelectronic components, inherent stability and robustness, no need for active stabilization in laboratory conditions, visibilities comparable to the highest obtained using other degrees of freedom, etc. It has however a few drawbacks, mainly high losses and the somewhat complexity of the radio-frequency system which is not standard in quantum optics. Exploiting the high dimensionality is also challenging. Overall, our method allows the implementation of traditional and original quantum optics experiments with interesting perspectives for quantum information and communication. / Doctorat en Sciences de l'ingénieur / info:eu-repo/semantics/nonPublished

<p>Developing a hybrid platform that combines nanophotonic circuits and atomic physic may provide new chip-scale devices for quantum application or versatile tools for exploring photon-mediated long-range quantum systems. However, this challenging project demands the excellent integration of cold atom trapping and manipulation technology with cutting-edge nanophotonics circuit design and fabrication. In this thesis project, we aim to develop a novel suspended membrane platform that serves as a quantum interface between laser-cooled, trapped atoms in an ultrahigh vacuum and the photons guided in the nanophotonic circuits based on high-quality silicon nitride microring resonators fabricated on a transparent membrane substrate. </p> <p><br></p> <p>The proposed platform meets the stringent performance requirements imposed by nanofabrication and optical physics in an ultra-high vacuum. These include a high yield rate for mm-scale suspended dielectric photonic devices, minimization of the surface roughness to achieve ultrahigh-optical quality, complete control of optical loss/in-coupling rate to achieve critical photon coupling to a microring resonator, and high-efficiency waveguide optical input/output coupler in an ultrahigh vacuum environment. This platform is compatible with laser-cooled and trapped cold atoms. The experimental demonstration of trapping and imaging single atoms on a photonic resonator circuit using optical tweezers has been demonstrated. Our circuit design can potentially reach a record-high cooperativity parameter C$>$500 for single atom-photon coupling, which is of high importance in realizing a coherent quantum nonlinear optical platform and holds great promise as an on-chip atom-cavity QED platform.</p>