**Hao successfully defended his thesis proposal on November 14, 2008.**

__TITLE:__

Theoretical Comparison of Optical Approaches to Quantum Logic Gates

__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. We propose to systematically analyze a number of promising optical implementations for quantum logic gates using standard density matrix theory. Basic issues of theoretical comparison of optical approaches to quantum logic gate will be presented here.