### 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 language | English (US) |
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Pages (from-to) | 4741-4748 |

Number of pages | 8 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 58 |

Issue number | 6 |

DOIs | |

State | Published - Jan 1 1998 |

### All Science Journal Classification (ASJC) codes

- Atomic and Molecular Physics, and Optics