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Full-Text Articles in Physical Sciences and Mathematics
Complexity Theory And Its Applications In Linear Quantum Optics, Jonathan Olson
Complexity Theory And Its Applications In Linear Quantum Optics, Jonathan Olson
LSU Doctoral Dissertations
This thesis is intended in part to summarize and also to contribute to the newest developments in passive linear optics that have resulted, directly or indirectly, from the somewhat shocking discovery in 2010 that the BosonSampling problem is likely hard for a classical computer to simulate. In doing so, I hope to provide a historic context for the original result, as well as an outlook on the future of technology derived from these newer developments. An emphasis is made in each section to provide a broader conceptual framework for understanding the consequences of each result in light of the others. …
Advances In Quantum Metrology: Continuous Variables In Phase Space, Bryan Tomas Gard
Advances In Quantum Metrology: Continuous Variables In Phase Space, Bryan Tomas Gard
LSU Doctoral Dissertations
This dissertation serves as a general introduction to Wigner functions, phase space, and quantum metrology but also strives to be useful as a how-to guide for those who wish to delve into the realm of using continuous variables, to describe quantum states of light and optical interferometry. We include many of the introductory elements one needs to appreciate the advantages of this treatment as well as show many examples in an effort to make this dissertation more friendly. In the initial segment of this dissertation, we focus on the advantages of Wigner functions and their use to describe many quantum …