Qutrit Randomized Benchmarking

Ternary quantum processors offer significant computational advantages over conventional qubit technologies, leveraging the encoding and processing of information in qutrits (three-level systems). To evaluate compare performance such emerging hardware it is essential to have robust benchmarking methods suitable for a higher-dimensional Hilbert space. We demonstrate extensions industry standard Randomized Benchmarking (RB) protocols, developed used extensively qubits, ternary logic. Using superconducting five-qutrit processor, we find single-qutrit gate infidelity as low $2.38 \times 10^{-3}$. Through interleaved RB, that this qutrit error largely limited by native (qubit-like) fidelity, employ simultaneous RB fully characterize cross-talk errors. Finally, apply cycle two-qutrit CSUM obtain process fidelity $0.82$. Our results RB-based tool overall general approach diagnose control errors future qudit hardware.