We introduce unitary-gate randomized benchmarking (URB) for qudit gates by extending single-and multi-qubit URB to single- and multi-qudit gates. Specifically, we develop a qudit URB procedure that exploits unitary 2-designs. Furthermore, we show that our URB procedure is not simply extracted from the multi-qubit case by equating qudit URB to URB of the symmetric multi-qubit subspace. Our qudit URB is elucidated by using pseudocode, which facilitates incorporating into benchmarking applications.
@article{arxiv.1911.08162,
title = {Randomized benchmarking for qudit Clifford gates},
author = {Mahnaz Jafarzadeh and Ya-Dong Wu and Yuval R. Sanders and Barry C. Sanders},
journal= {arXiv preprint arXiv:1911.08162},
year = {2024}
}