Statistical analysis of randomized benchmarking

Harper, R; Hincks, I; Ferrie, C; Flammia, ST; Wallman, JJ

Statistical analysis of randomized benchmarking

Harper, R Hincks, I Ferrie, C

Flammia, ST Wallman, JJ

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Publication Type:: Journal Article
Citation:: Physical Review A, 2019, 99 (5)
Issue Date:: 2019-05-29

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Field	Value	Language
dc.contributor.author	Harper, R	en_US
dc.contributor.author	Hincks, I	en_US
dc.contributor.author	Ferrie, C https://orcid.org/0000-0003-2736-9943	en_US
dc.contributor.author	Flammia, ST	en_US
dc.contributor.author	Wallman, JJ	en_US
dc.date.accessioned	2020-04-02T05:36:09Z
dc.date.available	2020-04-02T05:36:09Z
dc.date.issued	2019-05-29	en_US
dc.identifier.citation	Physical Review A, 2019, 99 (5)	en_US
dc.identifier.issn	2469-9926	en_US
dc.identifier.uri	http://hdl.handle.net/10453/139750
dc.description.abstract	© 2019 American Physical Society. 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. Finally, we provide a simplified rigorous method for obtaining credible regions for parameters of interest and a heuristic approximation for these intervals that performs well in currently relevant regimes.	en_US
dc.relation	http://purl.org/au-research/grants/arc/DE170100421
dc.relation.ispartof	Physical Review A	en_US
dc.relation.isbasedon	10.1103/PhysRevA.99.052350	en_US
dc.title	Statistical analysis of randomized benchmarking	en_US
dc.type	Journal Article
utslib.citation.volume	5	en_US
utslib.citation.volume	99	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	closed_access
pubs.issue	5	en_US
pubs.publication-status	Published	en_US
pubs.volume	99	en_US

Abstract:

© 2019 American Physical Society. 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. Finally, we provide a simplified rigorous method for obtaining credible regions for parameters of interest and a heuristic approximation for these intervals that performs well in currently relevant regimes.

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http://hdl.handle.net/10453/139750