Speaker
Description
To effectively operate a large-scale quantum computer, it is essential to thoroughly and confidently assess the performance of its components.
The gold standard for performance assessment of quantum gates is randomised benchmarking.
In particular, randomised benchmarking of universal qutrit quantum gates is needed.
In this presentation I will show how we advance from qubit dihedral benchmarking using the group $D_8$ to benchmarking a qutrit T gate by generalizing $D_8$ using the unique group for qutrits that satisfies three criteria inspired by $D_8$.
Using this generalization of $D_8$ we can complete the characterisation of a universal qutrit gate set.
I will also briefly discuss the application of our criteria to T gate benchmarking in the ququart and ququint cases.
