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.
Highlights
Randomized benchmarking[1,2,3,4,5,6,7] is arguably the most prominent experimental technique for assessing the quality of quantum operations in experimental quantum computing devices.[4,8,9,10,11,12,13] Key to the wide adoption of randomized benchmarking are its scalability with respect to the number of qubits and its insensitivity to errors in state preparation and measurement
We emphasize that the data generated by character randomized benchmarking can always be fitted to a single exponential, even if the gateset being benchmarked is not the Clifford group
The most common universal gateset considered in the literature is the Clifford + T gateset.[17]
Summary
Randomized benchmarking[1,2,3,4,5,6,7] is arguably the most prominent experimental technique for assessing the quality of quantum operations in experimental quantum computing devices.[4,8,9,10,11,12,13] Key to the wide adoption of randomized benchmarking are its scalability with respect to the number of qubits and its insensitivity to errors in state preparation and measurement. It has recently been shown to be insensitive to variations in the error associated to different implemented gates.[14,15,16]. The randomized benchmarking protocol is defined with respect to a gateset G, a discrete collection of quantum gates. This gateset is a group, such as the Clifford group.[2] The goal of randomized benchmarking is to estimate the average fidelity[17] of this gateset
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