# Universal Pairs of Rotations

### Maris Ozols, Laura Mancinska,

Andrew Childs, Debbie Leung

### Abstract

Assume you are given a sphere in three dimensions and a pair of rotations about two fixed axis by two fixed angles. Can you compose these rotations to approximate any given rotation to any desired accuracy?

We will characterize the cases when it is possible and show how one should compose the two rotations to approximate an arbitrary rotation.

Download presentation here (7.62 MB)