Topological sum rule for geometric phases of quantum gates

Nadav Orion, Boris Rotstein, Nirron Miller +1

We establish a topological sum rule, $\hat{I}{½}_U=\frac{1}{2\ddot{I}€}{\sum }_n{\hat{I}}_n^3=m\hat{I}{½}_H$, connecting the geometric phases accumulated by a two-qubit system over a complete basis of initial st…