**Hao successfully defensed his dissertation on November 19, 2010.**

__TITLE:__

Theoretical Study of Quantum Computation with Nonlinear Optics

__ABSTRACT:__

Quantum computing has been of intense interest over the last 10 years because of its

promising ability to do high-speed factoring and its potential for the efficient simulation

of quantum dynamics. It could be implemented in many different ways using optical

techniques. A better understanding of the advantages and disadvantages of these

approaches would allow the experimental groups working in this area to optimize their

choice of experiment and to concentrate on the approaches that are most likely to succeed.

In this thesis, we are interested in quantum logic gates based on nonlinear optical

approaches and mainly focus on one of the approaches----quantum Zeno gates. We

theoretically analyze two-photon absorption, which is essential to perform quantum Zeno

gates for coherent light and for frequency-entangled light. We also analyze and compare

quantum Zeno gates with nonlinear phase gates, which is another promising optical

implementation for quantum logic. The results of our theoretical analysis will be useful

for future experimental work in quantum computation.