Complexity of controlling quantum many-body dynamics
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Caneva-2014-Complexity of controlling quantum.pdf
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Author(s)
Caneva, T.
Silva, A.
Fazio, R.
Lloyd, Seth
Calarco, T.
Montangero, S.
Date Issued
April 2014
Journal
Physical Review A
Publisher
American Physical Society
Citation
Caneva, T., A. Silva, R. Fazio, S. Lloyd, T. Calarco, and S. Montangero. “Complexity of Controlling Quantum Many-Body Dynamics.” Phys. Rev. A 89, no. 4 (April 2014). ©2014 American Physical Society.
Version
Final published version
Abstract
We demonstrate that arbitrary time evolutions of many-body quantum systems can be reversed even in cases when only part of the Hamiltonian can be controlled. The reversed dynamics obtained via optimal control—contrary to standard time-reversal procedures—is extremely robust to external sources of noise. We provide a lower bound on the control complexity of a many-body quantum dynamics in terms of the dimension of the manifold supporting it, elucidating the role played by integrability in this context.
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/PhysRevA.89.042322
