TY - JOUR

T1 - Uniform, rapidly convergent algorithm for quantum optimal control of objectives with a positive semidefinite Hessian matrix

AU - Zhu, Wusheng

AU - Rabitz, Herschel

PY - 1998/1/1

Y1 - 1998/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0004806014&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0004806014&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.58.4741

DO - 10.1103/PhysRevA.58.4741

M3 - Article

AN - SCOPUS:0004806014

SN - 1050-2947

VL - 58

SP - 4741

EP - 4748

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 6

ER -