Robust Extraction of Tomographic Information via Randomized Benchmarking
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Kimmel-2014-Robust extraction.pdf
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Author(s)
Kimmel, Shelby
da Silva, Marcus P.
Ryan, Colm A.
Johnson, Blake R.
Ohki, Thomas A.
Date Issued
March 2014
Journal
Physical Review X
Publisher
American Physical Society
Citation
Kimmel, Shelby, Marcus P. da Silva, Colm A. Ryan, Blake R. Johnson, and Thomas Ohki. “Robust Extraction of Tomographic Information via Randomized Benchmarking.” Physical Review X 4, no. 1 (March 2014).
Version
Final published version
Abstract
We describe how randomized benchmarking can be used to reconstruct the unital part of any trace-preserving quantum map, which in turn is sufficient for the full characterization of any unitary evolution or, more generally, any unital trace-preserving evolution. This approach inherits randomized benchmarking’s robustness to preparation, measurement, and gate imperfections, thereby avoiding systematic errors caused by these imperfections. We also extend these techniques to efficiently estimate the average fidelity of a quantum map to unitary maps outside of the Clifford group. The unitaries we consider correspond to large circuits commonly used as building blocks to achieve scalable, universal, and fault-tolerant quantum computation. Hence, we can efficiently verify all such subcomponents of a circuit-based universal quantum computer. In addition, we rigorously bound the time and sampling complexities of randomized benchmarking procedures, proving that the required nonlinear estimation problem can be solved efficiently.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevX.4.011050
