Abstract
We present a new and simplified two-qubit randomized benchmarking procedure that operates only in the symmetric subspace of a pair of qubits and is well suited for benchmarking trapped-ion systems. By performing benchmarking only in the symmetric subspace, we drastically reduce the experimental complexity, a number of gates required, and run time. The protocol is demonstrated on trapped ions using collective single-qubit rotations and the Mølmer-Sørenson (MS) interaction to estimate an entangling gate error of . We analyze the expected errors in the MS gate and find that the population remains mostly in the symmetric subspace. The errors that mix symmetric and antisymmetric subspaces appear as leakage and we characterize them by combining our protocol with recently proposed leakage benchmarking. Generalizations and limitations of the protocol are also discussed.
- Received 7 November 2019
- Accepted 15 February 2020
DOI:https://doi.org/10.1103/PhysRevResearch.2.013317
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Published by the American Physical Society