Optimal control methods for rapidly time-varying Hamiltonians

F. Motzoi, J. M. Gambetta, S. T. Merkel, and F. K. Wilhelm
Phys. Rev. A 84, 022307 – Published 4 August 2011

Abstract

In this article, we develop a numerical method to find optimal control pulses that accounts for the separation of timescales between the variation of the input control fields and the applied Hamiltonian. In traditional numerical optimization methods, these timescales are treated as being the same. While this approximation has had much success, in applications where the input controls are filtered substantially or mixed with a fast carrier, the resulting optimized pulses have little relation to the applied physical fields. Our technique remains numerically efficient in that the dimension of our search space is only dependent on the variation of the input control fields, while our simulation of the quantum evolution is accurate on the timescale of the fast variation in the applied Hamiltonian.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 3 February 2011

DOI:https://doi.org/10.1103/PhysRevA.84.022307

©2011 American Physical Society

Authors & Affiliations

F. Motzoi1, J. M. Gambetta2,*, S. T. Merkel1, and F. K. Wilhelm1,†

  • 1Institute for Quantum Computing and Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
  • 2Institute for Quantum Computing and Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

  • *Present addresses: IBM Watson Research Ctr., Yorktown Heights, NY 10598 USA.
  • Present addresses: Frank Wilhelm is now employed at Theoretical Physics, Saarland University, 66123 Saarbrücken, Germany.

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 84, Iss. 2 — August 2011

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×