We introduce a scheme to characterise a qudit T gate that has different noise than a set of Clifford gates. We developed our scheme through representation theory and ring theory to generalise non-Clifford interleaved benchmarking to qudit systems. By restricting to the qubit case, we recover the dihedral benchmarking scheme. Our characterisation scheme provides experimental physicists a practical method for characterising universal qudit gate sets and advances randomised benchmarking research by providing the characterisation of a complete qudit library.
Cite
@article{arxiv.2407.14963,
title = {Qudit non-Clifford interleaved benchmarking},
author = {David Amaro-Alcalá and Barry C. Sanders and Hubert de Guise},
journal= {arXiv preprint arXiv:2407.14963},
year = {2024}
}
Comments
6 pages, 2 figures, accepted and presented at ISMVL 2024 IEEE International Symposium on Multiple-Valued Logic. v2: references updated