Information Theoretical Analysis of Quantum Optimal Control
Name
PhysRevLett.113.010502.pdf
Size
140.96 KB
Format
Adobe PDF
Checksum (MD5)
93183b3b29a4ce69b83b89b55ced00e3
Author(s)
Montangero, S.
Lloyd, Seth
Date Issued
July 2014
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Lloyd, S., and S. Montangero. “Information Theoretical Analysis of Quantum Optimal Control.” Physical Review Letters 113, no. 1 (July 2014). © 2014 American Physical Society
Version
Final published version
Abstract
We study the relations between classical information and the feasibility of accurate manipulation of quantum system dynamics. We show that if an efficient classical representation of the dynamics exists, optimal control problems on many-body quantum systems can be solved efficiently with finite precision. In particular, one-dimensional slightly entangled dynamics can be efficiently controlled. We provide a bound for the minimal time necessary to perform the optimal process given the bandwidth of the control pulse, which is the continuous version of the Solovay-Kitaev theorem. Finally, we quantify how noise affects the presented results.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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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/PhysRevLett.113.010502
