| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8904978 | Advances in Mathematics | 2018 | 33 Pages |
Abstract
To each of the symmetry groups of the Platonic solids we adjoin a carefully designed involution yielding topological generators of PU(2) which have optimal covering properties as well as efficient navigation. These are a consequence of optimal strong approximation for integral quadratic forms associated with certain special quaternion algebras and their arithmetic groups. The generators give super efficient 1-qubit quantum gates and are natural building blocks for the design of universal quantum gates.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Ori Parzanchevski, Peter Sarnak,