Navigating U(2) with Golden Gates
- Speaker
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Peter Sarnak, Ph.D.Eugene Higgins Professor of Mathematics
Presidential Lectures are free public colloquia centered on four main themes: Biology, Physics, Mathematics and Computer Science, and Neuroscience and Autism Science. These curated, high-level scientific talks feature leading scientists and mathematicians and are intended to foster discourse and drive discovery among the broader NYC-area research community. We invite those interested in the topic to join us for this weekly lecture series.
The problem of devising optimally efficient universal gates for quantum computing is one of finding the best generators for rotation groups.
In this lecture, Peter Sarnak will discuss recent developments concerning ‘Golden Gates,’ which are number theoretic generators of U(2). The tools range from groups associated with the platonic solids to modern diophantine problems associated with sums of squares.