Robust calibration of a universal single-qubit gate set via robust phase estimation
Name
PhysRevA.92.062315.pdf
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356.96 KB
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Checksum (MD5)
5104e4693981b159d3d58048fae4e3b7
Author(s)
Kimmel, Shelby
Low, Guang Hao
Yoder, Theodore James
Date Issued
December 2015
Journal
Physical Review A
Publisher
American Physical Society
Citation
Kimmel, Shelby, Guang Hao Low, and Theodore J. Yoder. "Robust calibration of a universal single-qubit gate set via robust phase estimation." Phys. Rev. A 92, 062315 (December 2015). © 2015 American Physical Society
Version
Final published version
Abstract
An important step in building a quantum computer is calibrating experimentally implemented quantum gates to produce operations that are close to ideal unitaries. The calibration step involves estimating the systematic errors in gates and then using controls to correct the implementation. Quantum process tomography is a standard technique for estimating these errors but is both time consuming (when one wants to learn only a few key parameters) and usually inaccurate without resources such as perfect state preparation and measurement, which might not be available. With the goal of efficiently and accurately estimating specific errors using minimal resources, we develop a parameter estimation technique, which can gauge key systematic parameters (specifically, amplitude and off-resonance errors) in a universal single-qubit gate set with provable robustness and efficiency. In particular, our estimates achieve the optimal efficiency, Heisenberg scaling, and do so without entanglement and entirely within a single-qubit Hilbert space. Our main theorem making this possible is a robust version of the phase estimation procedure of Higgins et al. [B. L. Higgins et al., New J. Phys. 11, 073023 (2009)NJOPFM1367-263010.1088/1367-2630/11/7/073023].
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.92.062315
