2018/04/30 by Arnaud Carignan-Dugas, Kristine Boone, Joel J. Wallman +1 · 37 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Benchmarking #Combinatorics #Computer science #Controlled NOT gate #Fidelity #Mathematics #Noise (video) #Pauli exclusion principle #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum circuit #Quantum error correction #Quantum gate #Quantum mechanics #Qubit #Set (abstract data type) #Telecommunications #Topology (electrical circuits) #quant-ph
paper · pdf · doi:10.1088/1367-2630/aadcc7
published in New Journal of Physics 20(9), 092001 (IOP Publishing) · 10 pages, 3 figures
openalex publication_date 2018/08/24 · arxiv created 2018/09/10 · arxiv updated 2018/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Randomized benchmarking (RB) protocols have become an essential tool for providing a meaningful partial characterization of experimental quantum operations. While the RB decay rate is known to enable estimates of the average fidelity of those operations under gate-independent Markovian noise, under gate-dependent noise this rate is more difficult to interpret rigorously. In this paper, we prove that single-qubit RB decay parameter p coincides with the decay parameter of the gate-set circuit fidelity , a novel figure of merit which characterizes the expected average fidelity over arbitrary circuits of operations from the gate-set. We also prove that, in the limit of high-fidelity single-qubit experiments, the possible alarming disconnect between the average gate fidelity and RB experimental results is simply explained by a basis mismatch between the gates and the state-preparation and measurement procedures, that is, to a unitary degree of freedom in labeling the Pauli matrices. Based on numerical evidence and physically motivated arguments, we conjecture that these results also hold for higher dimensions.