A new class of efficient randomized benchmarking protocols
Jonas Helsen (TU Delft - QuTech Advanced Research Centre, TU Delft - Quantum Information and Software)
Xiao Xue (Kavli institute of nanoscience Delft, TU Delft - QCD/Vandersypen Lab, TU Delft - QuTech Advanced Research Centre)
Lieven M.K. Vandersypen (TU Delft - QN/Vandersypen Lab, TU Delft - QCD/Vandersypen Lab, Kavli institute of nanoscience Delft, TU Delft - QuTech Advanced Research Centre)
S. Wehner (TU Delft - QuTech Advanced Research Centre, TU Delft - Quantum Internet Division, TU Delft - Quantum Information and Software)
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Abstract
Randomized benchmarking is a technique for estimating the average fidelity of a set of quantum gates. However, if this gateset is not the multi-qubit Clifford group, robustly extracting the average fidelity is difficult. Here, we propose a new method based on representation theory that has little experimental overhead and robustly extracts the average fidelity for a broad class of gatesets. We apply our method to a multi-qubit gateset that includes the T-gate, and propose a new interleaved benchmarking protocol that extracts the average fidelity of a two-qubit Clifford gate using only single-qubit Clifford gates as reference.
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