2017/03/28 by Bryan H. Fong, Fong, Bryan H., Seth Merkel +2 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum many-body systems #Theoretical and Computational Physics #quant-ph
paper · pdf · doi:10.48550/arxiv.1703.09747
10 pages, 7 figures
arxiv created 2017/03/28 · openalex publication_date 2017/03/28 · arxiv updated 2017/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compute the expected randomized benchmarking sequence fidelity for a system subject to Gaussian time-correlated noise. For single qubit benchmarking we show that the expected sequence fidelity is given by the partition function of a long-range coupled spin-one Ising model, with each site in the Ising model corresponding to a free evolution interval. For d-state systems, the expected sequence fidelity is given by an Ising-like model partition function whose site variables are given by the weights of the adjoint representation of SU(d). A high effective temperature expansion for the partition function in the single qubit case shows decay of sequence fidelity varying from exponential for uncorrelated noise to a power law for quasistatic noise. Fitting an exponential to the sequence fidelity decay under correlated noise gives unreliable estimates of the average gate error rate.