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Robust calibration of a universal single-qubit gate set via robust phase estimation

Title: Robust calibration of a universal single-qubit gate set via robust phase estimation
Authors: Kimmel, Shelby; Low, Guang Hao; Yoder, Theodore James
Contributors: Massachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics; Kimmel, Shelby; Low, Guang Hao; Yoder, Theodore James
Source: American Physical Society
Publisher Information: American Physical Society
Publication Year: 2015
Collection: DSpace@MIT (Massachusetts Institute of Technology)
Description: 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]. ; United States. Dept. of Defense ; United States. Army Research Office. Quantum Algorithms Program ; American Society for Engineering Education. National Defense Science and Engineering Graduate Fellowship
Document Type: article in journal/newspaper
File Description: application/pdf
Language: English
Relation: http://dx.doi.org/10.1103/PhysRevA.92.062315; Physical Review A; https://hdl.handle.net/1721.1/100338
Availability: https://hdl.handle.net/1721.1/100338
Rights: 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. ; American Physical Society
Accession Number: edsbas.555AF827
Database: BASE