Concatenated toolkit for quantum optimal control wave-function propagation

Michael Hsieh, Herschel Rabitz

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

Numerical propagation of the Schrödinger equation is the bottleneck in many quantum optimal control computations. For a quantum system of N states with an electric-field-dipole interaction, the use of a propagation toolkit introduced in a prior work yields an O (N) reduction in floating-point operations per wave function propagation. A concatenation scheme for the toolkit method is introduced, and a scaling analysis shows a significant additional reduction in computational cost. The method exploits the fact that the same sequences of discretized control field values are often repeated many times in a control simulation. The concatenated toolkit is benchmarked against the standard toolkit in a numerical simulation.

Original languageEnglish (US)
Article number037701
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume77
Issue number3
DOIs
StatePublished - Mar 17 2008

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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