Efficient flexible characterization of quantum processors with nested error models

Nielsen, Erik; Rudinger, Kenneth; Proctor, Timothy; Young, Kevin; Blume-Kohout, Robin

doi:10.1088/1367-2630/ac20b9

Efficient flexible characterization of quantum processors with nested error models

Journal Article · 12 September 2021 · New Journal of Physics

DOI:https://doi.org/10.1088/1367-2630/ac20b9· OSTI ID:1828015

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Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)

We present a simple and powerful technique for finding a good error model for a quantum processor. The technique iteratively tests a nested sequence of models against data obtained from the processor, and keeps track of the best-fit model and its wildcard error (a metric of the amount of unmodeled error) at each step. Each best-fit model, along with a quantification of its unmodeled error, constitutes a characterization of the processor. We explain how quantum processor models can be compared with experimental data and to each other. We demonstrate the technique by using it to characterize a simulated noisy two-qubit processor.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: NA0003525

OSTI ID:: 1828015

Alternate ID(s):: OSTI ID: 23180272

Report Number(s):: SAND--2021-11006J; 699163

Journal Information:: New Journal of Physics, Journal Name: New Journal of Physics Journal Issue: 9 Vol. 23; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

References (29)

Quantum Computing in the NISQ era and beyond Preskill, John Quantum, Vol. 2 https://doi.org/10.22331/q-2018-08-06-79	journal	August 2018
Characterizing quantum supremacy in near-term devices Boixo, Sergio; Isakov, Sergei V.; Smelyanskiy, Vadim N. Nature Physics, Vol. 14, Issue 6 https://doi.org/10.1038/s41567-018-0124-x	journal	April 2018
A graphical approach to sequentially rejective multiple test procedures Bretz, Frank; Maurer, Willi; Brannath, Werner Statistics in Medicine, Vol. 28, Issue 4 https://doi.org/10.1002/sim.3495	journal	February 2009
Operational, gauge-free quantum tomography Di Matteo, Olivia; Gamble, John; Granade, Chris Quantum, Vol. 4 https://doi.org/10.22331/q-2020-11-17-364	journal	November 2020
Measuring the Capabilities of Quantum Computers Proctor, Timothy; Rudinger, Kenneth; Young, Kevin arXiv https://doi.org/10.48550/arxiv.2008.11294	text	January 2020
A taxonomy of small Markovian errors Blume-Kohout, Robin; da Silva, Marcus P.; Nielsen, Erik arXiv https://doi.org/10.48550/arxiv.2103.01928	text	January 2021
Scalable and Robust Randomized Benchmarking of Quantum Processes Magesan, Easwar; Gambetta, J. M.; Emerson, Joseph Physical Review Letters, Vol. 106, Issue 18 https://doi.org/10.1103/physrevlett.106.180504	journal	May 2011
Quantum computers Ladd, T. D.; Jelezko, F.; Laflamme, R. Nature, Vol. 464, Issue 7285 https://doi.org/10.1038/nature08812	journal	March 2010
Randomized benchmarking of quantum gates Knill, E.; Leibfried, D.; Reichle, R. Physical Review A, Vol. 77, Issue 1 https://doi.org/10.1103/physreva.77.012307	journal	January 2008
The Large-Sample Distribution of the Likelihood Ratio for Testing Composite Hypotheses Wilks, S. S. The Annals of Mathematical Statistics, Vol. 9, Issue 1 https://doi.org/10.1214/aoms/1177732360	journal	March 1938
Wildcard error: Quantifying unmodeled errors in quantum processors Blume-Kohout, Robin; Rudinger, Kenneth; Nielsen, Erik arXiv https://doi.org/10.48550/arxiv.2012.12231	preprint	January 2020
Measuring the Capabilities of Quantum Computers Proctor, Timothy; Rudinger, Kenneth; Nielsen, Erik Zenodo https://doi.org/10.5281/zenodo.5197498	dataset	January 2021
Detecting crosstalk errors in quantum information processors Sarovar, Mohan; Proctor, Timothy; Rudinger, Kenneth Quantum, Vol. 4 https://doi.org/10.22331/q-2020-09-11-321	journal	September 2020
Symmetrized Characterization of Noisy Quantum Processes Emerson, J.; Silva, M.; Moussa, O. Science, Vol. 317, Issue 5846 https://doi.org/10.1126/science.1145699	journal	September 2007
Quantum certification and benchmarking Eisert, Jens; Hangleiter, Dominik; Walk, Nathan Nature Reviews Physics, Vol. 2, Issue 7 https://doi.org/10.1038/s42254-020-0186-4	journal	June 2020
A new look at the statistical model identification Akaike, H. IEEE Transactions on Automatic Control, Vol. 19, Issue 6 https://doi.org/10.1109/tac.1974.1100705	journal	December 1974
Detecting and tracking drift in quantum information processors Proctor, Timothy; Revelle, Melissa; Nielsen, Erik arXiv https://doi.org/10.48550/arxiv.1907.13608	text	January 2019
Efficient Measurement of Quantum Gate Error by Interleaved Randomized Benchmarking Magesan, Easwar; Gambetta, Jay M.; Johnson, B. R. Physical Review Letters, Vol. 109, Issue 8 https://doi.org/10.1103/physrevlett.109.080505	journal	August 2012
Validating quantum computers using randomized model circuits Cross, Andrew W.; Bishop, Lev S.; Sheldon, Sarah Physical Review A, Vol. 100, Issue 3 https://doi.org/10.1103/physreva.100.032328	journal	September 2019
Quantum process identification: a method for characterizing non-markovian quantum dynamics Bennink, Ryan S.; Lougovski, Pavel New Journal of Physics, Vol. 21, Issue 8 https://doi.org/10.1088/1367-2630/ab3598	journal	August 2019
The Physical Implementation of Quantum Computation DiVincenzo, David P. Fortschritte der Physik, Vol. 48, Issue 9-11 https://doi.org/10.1002/1521-3978(200009)48:9/11<771::aid-prop771>3.0.co;2-e	journal	September 2000
Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography Blume-Kohout, Robin; Gamble, John King; Nielsen, Erik Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms14485	journal	February 2017
Detecting and tracking drift in quantum information processors Proctor, Timothy; Revelle, Melissa; Nielsen, Erik Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-19074-4	journal	October 2020
Characterizing universal gate sets via dihedral benchmarking Carignan-Dugas, Arnaud; Wallman, Joel J.; Emerson, Joseph Physical Review A, Vol. 92, Issue 6 https://doi.org/10.1103/physreva.92.060302	journal	December 2015
Assessing the accuracy of the maximum likelihood estimator: Observed versus expected Fisher information Efron, Bradley; Hinkley, David V. Biometrika, Vol. 65, Issue 3 https://doi.org/10.1093/biomet/65.3.457	journal	January 1978
Measuring the Capabilities of Quantum Computers Proctor, Timothy; Rudinger, Kenneth; Nielsen, Erik Zenodo https://doi.org/10.5281/zenodo.5197499	dataset	January 2021
Probing quantum processor performance with pyGSTi Nielsen, Erik; Rudinger, Kenneth; Proctor, Timothy Quantum Science and Technology, Vol. 5, Issue 4 https://doi.org/10.1088/2058-9565/ab8aa4	journal	July 2020
Direct Randomized Benchmarking for Multiqubit Devices Proctor, Timothy J.; Carignan-Dugas, Arnaud; Rudinger, Kenneth Physical Review Letters, Vol. 123, Issue 3 https://doi.org/10.1103/physrevlett.123.030503	journal	July 2019
Self-consistent quantum process tomography Merkel, Seth T.; Gambetta, Jay M.; Smolin, John A. Physical Review A, Vol. 87, Issue 6 https://doi.org/10.1103/physreva.87.062119	journal	June 2013

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