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\n  \n 2021\n \n \n (1)\n \n \n
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\n \n\n \n \n \n \n \n Subsystem methods for continuous-variable quantum computing with the Gottesman-Kitaev-Preskill code.\n \n \n \n\n\n \n PANTALEONI, G.\n\n\n \n\n\n\n Ph.D. Thesis, RMIT University, 2021.\n \n\n\n\n
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@phdthesis{PANTALEONIGiacomo2021Smfc,\n\tabstract = {We introduce a decomposition of the Hilbert space of continuous-variable quantum mechanics into two separate subsystems, by providing a tensor-product basis for said Hilbert space. One subsystem is 2-dimensional and is interpreted as "logical", while the remaining subsystem is another quantum mode. The decomposition allows one to extract qubits that are compatible with the Gottesman-Kitaev-Preskill code from any continuous-variable state. We will then show that any continuous-variable computational scheme carries qubit information. We argue how, and in which sense, this construction bridges the gap between standard, qubit-based quantum computing and continuous-variable quantum computing. Finally, we apply the decomposition to various situations of interest for continuous-variable quantum computing: in particular, we reveal the logical information carried by continuous-variable cluster states in their idealized, infinite-energy version and in their physical approximations.},\n\tauthor = {PANTALEONI, Giacomo},\n\tdate-added = {2021-08-27 16:17:31 +1000},\n\tdate-modified = {2021-08-27 16:18:00 +1000},\n\tkeywords = {GKP;Quantum computing;Continuous-variable;Cluster states;Gaussian states;Gottesman-Kitaev-Preskill},\n\tschool = {RMIT University},\n\ttitle = {Subsystem methods for continuous-variable quantum computing with the {Gottesman-Kitaev-Preskill} code},\n\tyear = {2021}}\n\n
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\n We introduce a decomposition of the Hilbert space of continuous-variable quantum mechanics into two separate subsystems, by providing a tensor-product basis for said Hilbert space. One subsystem is 2-dimensional and is interpreted as \"logical\", while the remaining subsystem is another quantum mode. The decomposition allows one to extract qubits that are compatible with the Gottesman-Kitaev-Preskill code from any continuous-variable state. We will then show that any continuous-variable computational scheme carries qubit information. We argue how, and in which sense, this construction bridges the gap between standard, qubit-based quantum computing and continuous-variable quantum computing. Finally, we apply the decomposition to various situations of interest for continuous-variable quantum computing: in particular, we reveal the logical information carried by continuous-variable cluster states in their idealized, infinite-energy version and in their physical approximations.\n
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\n  \n 2014\n \n \n (1)\n \n \n
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\n \n\n \n \n \n \n \n Open Systems Dynamics for Propagating Quantum Fields.\n \n \n \n\n\n \n Baragiola, B. Q.\n\n\n \n\n\n\n 2014.\n \n\n\n\n
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@misc{baragiola2014open,\n\tabstract = {In this dissertation, I explore interactions between matter and propagating light. The electromagnetic field is modeled as a reservoir of quantum harmonic oscillators successively streaming past a quantum system. Each weak and fleeting interaction entangles the light and the system, and the light continues its course. Within the framework of open quantum systems, the light is eventually traced out, leaving the reduced quantum state of the system as the primary mathematical subject. Two major results are presented. The first is a master equation approach for a quantum system interacting with a traveling wave packet prepared with a definite number of photons. In contrast to quasi-classical states, such as coherent or thermal fields, these N-photon states possess temporal mode entanglement, and local interactions in time have nonlocal consequences. The second is a model for a three-dimensional light-matter interface for an atomic ensemble interacting with a paraxial laser beam and its application to the generation of QND spin squeezing. Both coherent and incoherent dynamics due to spatially inhomogeneous atom-light coupling across the ensemble are accounted for. Measurement of paraxially scattered light can generate squeezing of an atomic spin wave, while diffusely scattered photons lead to spatially local decoherence.},\n\tarchiveprefix = {arXiv},\n\tauthor = {Ben Q. Baragiola},\n\tdate-added = {2020-09-18 11:52:25 +1000},\n\tdate-modified = {2020-09-18 11:52:37 +1000},\n\teprint = {1408.4447},\n\tprimaryclass = {quant-ph},\n\ttitle = {Open Systems Dynamics for Propagating Quantum Fields},\n\tyear = {2014}}\n
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\n In this dissertation, I explore interactions between matter and propagating light. The electromagnetic field is modeled as a reservoir of quantum harmonic oscillators successively streaming past a quantum system. Each weak and fleeting interaction entangles the light and the system, and the light continues its course. Within the framework of open quantum systems, the light is eventually traced out, leaving the reduced quantum state of the system as the primary mathematical subject. Two major results are presented. The first is a master equation approach for a quantum system interacting with a traveling wave packet prepared with a definite number of photons. In contrast to quasi-classical states, such as coherent or thermal fields, these N-photon states possess temporal mode entanglement, and local interactions in time have nonlocal consequences. The second is a model for a three-dimensional light-matter interface for an atomic ensemble interacting with a paraxial laser beam and its application to the generation of QND spin squeezing. Both coherent and incoherent dynamics due to spatially inhomogeneous atom-light coupling across the ensemble are accounted for. Measurement of paraxially scattered light can generate squeezing of an atomic spin wave, while diffusely scattered photons lead to spatially local decoherence.\n
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