Navigating U(2) with Golden Gates
- Speaker
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Peter Sarnak, Ph.D.Eugene Higgins Professor of Mathematics
Presidential Lectures are a series of free public colloquia spotlighting groundbreaking research across four themes: neuroscience and autism science, physics, biology, and mathematics and computer science. These curated, high-level scientific talks feature leading scientists and mathematicians and are designed to foster discussion and drive discovery within the New York City research community. We invite those interested in these topics 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.