Uniform, rapidly convergent algorithm for quantum optimal control of objectives with a positive semidefinite Hessian matrix

Wusheng Zhu, Herschel Rabitz

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

A uniform iteration method is presented for achieving quantum optimal control over any real objective with a positive semidefinite Hessian matrix. Theoretical analysis shows that this uniform algorithm exhibits quadratic and monotonic convergence. Numerical calculations verify that for this uniform algorithm, within a few steps, the optimized objective functional comes close to its converged limit. For some optimal control purposes, the objective itself is not required to be directly a physical observable, but it is only necessary that the objective have a suitable association with some desired physical observables. As an illustration of the algorithm, the control objective is chosen to achieve maximum population in a target state as well as minimum phase mismatch with the target state.

Original languageEnglish (US)
Pages (from-to)4741-4748
Number of pages8
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume58
Issue number6
DOIs
StatePublished - Jan 1 1998

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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