Qudit non-Clifford interleaved benchmarking
arXiv:2407.14963 · doi:10.1109/ISMVL60454.2024.00029
Abstract
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.
6 pages, 2 figures, accepted and presented at ISMVL 2024 IEEE International Symposium on Multiple-Valued Logic. v2: references updated
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