When I began my university education I studied Neuroscience
and philosophy. I later concentrated on Physics and eventually moved to pure mathematics. I received my B.Sc. in
Mathematics and Physics from the
University of Toronto, Toronto, Canada, in 2001. Then I did an MSc. with I.M. Sigal's group at the University of Toronto
where I studied non-linear partial differntial equations and mathematical physics and concentrated on the study of solitons trapped in a potential. After completing my Master's degree I entered the Ph.D. program in Applied Mathematics and continued my study of non-linear PDE's but eventually decided to make a move into Quantum Computation. I am currently doing research in Daniel Lidar's group at the University of Southern California towards the completion of my Ph.D.
Research Interests
Quantum Complexity of problems from Classical Physics, Quantum Field Theory, Mathematical
Medicine
Recent Work
- On the Exact Evaluation of Certain Instances of the Potts Partition Function by Quantum Computers with D.A. Lidar - Presented at the Quantum Algorithms Program Review, July 25,2006
- A Note on Cyclotomic Cosets, an Algorithm for finding Coset Representatives and Size, and a Theorem on the Quantum evaluation of Weight Enumerators for a Certain Class of Cyclic Codes with Frank Van Bussel
- A BQP-complete problem related to the Ising model partition function via a new connection between quantum circuits and graphs. Feb. 2008
- "On a class of quantum circuits related to planar instances of the Ising Partition Function" - On the arXiv soon. With D.A. Lidar. Preliminary results presented at the ARO-DTO Quantum Algorithm Review - August 2007.
- "On a relationship between instances of the classical Ising model and quantum circuits."
- Unpublished. Material included in thesis. Please contact me if interested.
- "Preliminary results on the quantum computation of the Potts partition function defined over a certain class of hypergraphs. " Paper in preperation.
Conferences and Meetings
- CMM Seminar Series July 2004 (Centre for Mathematical Medicine at the Fields Institute, Toronto)
- ARO Quantum Information Program Review: August 2005,Tampa Bay, Florida
- SQUINT Eighth Annual Workshop: February 2006, Albuquerque, New Mexico
- DTO Quantum Information Program Review: August 2006, San Diego, California
- SQUINT Ninth Annual Workshop: February 2007, Pasadena, California
- Los Alamos National Laboratory Workshop on The Quantum Computation of Problems from Statistical Physics and Differential Equations: May 2007, Los Alamos, New Mexico
- ARO-DTO Program Review on Quantum Algorithms: Aug.16, 2007, Minneapolis, Minnesota
- University of Guelph - Invited by David Kribs: Nov.2, 2007
- University of Toronto - Graduate Student Seminar: Feb.5, 2008
- Perimeter Institute - Quantum Information and Graph Theory: emerging connections: April 28 - May 2, 2008
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Physics:
SciRate,
LANL Archive,
APS Journals,
Nature,
Science
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News:
BBC,
News.com,
NYTimes,
Wired News,
Toronto Star,
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My Toronto Webpage:
ME@UT
