Qudit non-Clifford interleaved benchmarking
David Amaro-Alcal\'a, Barry C. Sanders, Hubert de Guise
TL;DR
This paper develops a new benchmarking scheme for characterising non-Clifford T gates in qudit systems, extending existing methods to higher-dimensional quantum systems and providing practical tools for experimental implementation.
Contribution
It introduces a generalised interleaved benchmarking method for qudits using representation and ring theory, enabling comprehensive characterisation of qudit gate sets.
Findings
Generalised benchmarking scheme for qudits
Recovery of dihedral benchmarking in the qubit case
Provides a practical method for experimental qudit gate characterisation
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.
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