Navigating U(2) with Golden Gates
- Speaker
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Peter Sarnak, Ph.D.Eugene Higgins Professor of Mathematics
Simons Foundation Lectures are free public colloquia related to basic science and mathematics. These high-level talks are intended for professors, students, postdocs and business professionals, but interested people from the metropolitan area are welcome as well.

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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.