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Investigates the incorporation of physical implementation concerns into closed loop quantum control experiments. Establishment for physical concerns of quantum control experiments; Production of stable outcome in the robust fields; Demonstration on the benefit of carefully designed cost functional.

Presents an algorithm to assess the feasibility of inverting probability density data to extract potential energy surfaces. Generation of a noninteractive quantum inversion algorithm that does not require the solution of the Schrodinger equation; Regular regions of the potential identified by the algorithm.

Focuses on the extension of a monotonically convergent algorithm for quantum optimal control to treat systems with dissipation. Exhibition of quadratic and monotonic convergence of the algorithm working with the density matrix; Exploitation of the model to control various targets including the expectation value of Hermitian operator.

Reports on the development of noniterative algorithms for finding quantum optimal controls. Zeroth-order approximation developed as a reference case; First-order approximation; Modified first-order approximation; Results of numerical tests.

Investigates the singularities that may be encountered in the tracking control of quantum mechanical systems. Singularity-free cases; Removal of a trivial singularity of finite relative order; Treatment of nontrivial singularities; Effect of the rank on the difficulty level of tracking.

Presents an iterative method for solving the quantum optimal control over the expectation value of a positive definite operator. Contribution of quadratic monotonic convergence behavior for quality results; Test for efficiency of convergence behavior; Interference patterns arising from frequency components.

Examines the iteration methods for designing quantum optimal control for transition probability manipulation. Convergence behavior of the iteration algorithm; Evaluation of algorithm using a propagation method; Details on the numerical tests of convergence behavior.