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{\setstretch{1.0}{\begin{center}	A DISSERTATION APPROVED FOR THE\\SCHOOL OF ELECTRICAL AND COMPUTER ENGINEERING \end{center} }}
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\begin{center} BY \end{center}
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\hspace{7cm} Dr. Kam Wai Clifford Chan, Chair\\
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\hspace{7cm} Dr. Pramode Verma\\
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\hspace{7cm} Dr. Alberto Marino\\
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\hspace{7cm} Dr. Samuel Cheng\\
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\hspace{7cm} Dr. Gregory MacDonald\\
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\hspace{7cm} Dr. Robert Huck

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	{\copyright} Copyright by {\InsertAuthor} 2018\\
	All Rights Reserved.
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\chapter*{Acknowledgements}
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I would like to express my deepest appreciation to my committee chair Dr. Kam Wai Cliff Chan, who has been a supportive and accommodating advisor to me.
For the past five years, we have been working together on multiple projects in the field of quantum metrology, in which he has valuable insight, and always provides helpful comments and suggestions.
With his help, I learned time management skills to work more efficiently, how to think like a scientist, and how to become a researcher.
I truly appreciate his trust in me and the financial support from him and Dr. Verma, which made it possible for me to complete my doctorate degree.

I am also extremely grateful of all the other committee members, Dr. Pramode Verma, Dr. Alberto Marino, Dr. Samuel Cheng, Dr. Gregory MacDonald, and Dr. Robert Huck, for their help over the past few years and precious comments on the dissertation.
Moreover, I would like to thank all my colleagues, Kyrus M. Kuplicki, Guangyu Fang, Bhagyashri Darunkar-Punekar, Mayssaa El Rifai, Rasha El Hajj, etc., who gave me useful suggestions from different aspects.

I would also like to thank all my friends and family, who supported me both emotionally and financially throughout the entire time of my degree. Special thanks to my parents Dawei Zhang and Xiaozhi Gu, and my grandparents Ming Zhang, Sumin Zhang, and Guilan Dong, for your love, encouragement, and always supporting every decision I have made.
Specifically, I want to thank my grandfather Ming Zhang, who introduced me to the quantum field with Heisenberg's uncertainty principle. I also want to extend a huge thank you to my husband Tyler Osterhaus, for your love, support, and patience in working on a long distance relationship for the past three years until I eventually graduate. 