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Optimization Of Quantum Optical Metrology Systems, Nicholas Michael Studer
Optimization Of Quantum Optical Metrology Systems, Nicholas Michael Studer
LSU Doctoral Dissertations
It can be said that all of humanity's efforts can be understood as a problem of optimization. We each have a natural sense of what is ``good'' or ``bad'' and thus our actions tend towards maximizing -- or optimizing -- some notion of good and minimizing those things we perceive as bad or undesirable.
Within the sciences, the greatest form of good is knowledge. It is this pursuit of knowledge that leads to not only life-saving innovations and technology, but also to furthering our understanding of our natural world and driving our philosophical pursuits.
The principle method of obtaining knowledge …
Phase Estimation In Linear And Nonlinear Interferometers, Sushovit Adhikari
Phase Estimation In Linear And Nonlinear Interferometers, Sushovit Adhikari
LSU Doctoral Dissertations
Phase estimation has a wide range of applications. Over the years, several strategies have been studied to improve precision in phase estimation. These strategies include using exotic quantum states to quantum detection schemes. This dissertation summarizes my effort in improving the precision of phase estimation with a linear and nonlinear interferometer.
Chapter 1 introduces quantum optics and quantum metrology. I introduce all relevant quantum states of light used. We also look into tools and terminologies of quantum metrology such as Fisher information, shot-noise limit, Heisenberg limit, etc., along with examples of phase estimation with a Mach-Zehnder interferometer.
In Chapter 2, …