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

Physical Review A
 Pub Date:
 December 1998
 DOI:
 10.1103/PhysRevA.58.4741
 Bibcode:
 1998PhRvA..58.4741Z
 Keywords:

 32.80.Qk;
 Coherent control of atomic interactions with photons