Qudit non-Clifford interleaved benchmarking
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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2024
- DOI:
- 10.48550/arXiv.2407.14963
- arXiv:
- arXiv:2407.14963
- Bibcode:
- 2024arXiv240714963A
- Keywords:
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- Quantum Physics
- E-Print:
- 6 pages, 2 figures, accepted and presented at ISMVL 2024 IEEE International Symposium on Multiple-Valued Logic. v2: references updated