2019

Statistical analysis of randomized benchmarking

Harper, Robin, Hincks, Ian, Ferrie, Chris et al.

Understand

Randomized benchmarking and variants thereof, which we collectively call RB+, are widely used to characterize the performance of quantum computers because they are simple, scalable, and robust to state-preparation and measurement errors.

However, experimental implementations of RB+ allocate resources suboptimally and make ad-hoc assumptions that undermine the reliability of the data analysis.
In this paper, we propose a simple modification of RB+ which rigorously eliminates a nuisance parameter and simplifies the experimental design.
We then show that, with this modification and specific experimental choices, RB+ efficiently provides estimates of error rates with multiplicative precision.

Built on

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Similar

Then

Robin Harper and Steven T. Flammia, “Estimating the fidelity of T gates using standard interleaved randomized benchmarking,” Quantum Science and Technology 2
Original
2017
Later among the works it cites.
Jonas Helsen, Joel J. Wallman, Steven T. Flammia, and Stephanie Wehner, “Multi-qubit Randomized Benchmarking Using Few Samples,” (2017) , arXiv:1701.04299
Original
2017
Later among the works it cites.
Christopher Granade, Christopher Ferrie, Ian Hincks, Steven Casagrande, Thomas Alexander, Jonathan Gross, Michal Kononenko, and Yuval Sanders, “QInfer: Statistical inference software for quantum applications,” Quantum 1
Original
2017
Later among the works it cites.
J. J. Wallman, “Randomized benchmarking with gate-dependent noise,” Quantum 2
Original
2018
Later among the works it cites.
C. H. Yang, K. W. Chan, R. Harper, W. Huang, T. Evans, J. C. C. Hwang, B. Hensen, A. Laucht, T. Tanttu, F. E. Hudson, S. T. Flammia, K. M. Itoh, A. Morello, S. D. Bartlett, and A. S. Dzurak, “Silicon qubit fidelities approaching stochastic noise limits via pulse optimisation,” ArXiv e-prints (2018), arXiv:1807.09500
Original
2018
Later among the works it cites.
Christopher J. Wood and Jay M. Gambetta, “Quantification and characterization of leakage errors,” Phys. Rev. A 97
Original
2018
Later among the works it cites.
B. Dirkse, J. Helsen, and S. Wehner, “Efficient Unitarity Randomized Benchmarking of Few-qubit Clifford Gates,” ArXiv e-prints (2018), arXiv:1808.00850 [quant-ph]
Original
2018
Later among the works it cites.

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