Optimal population transfers for a quantum system in the limit of large transfer time

A Quantum Optimal Control Problem with State Constrained Preserving Coherence

“…Due to the extra noise and disturbances of closed-loop control methods in fragile quantum systems, the configuration of control law is considered without experimental SYSTEC -Research Center for Systems and Technologies, FEUP -Faculty of Engineering, Porto University, Rua Dr. Roberto Frias sn, i219, 4200-465 Porto, Portugal nahid@fe.up.pt,flp@fe.up.pt feedback or measurement, as open-loop, in most quantum control protocols. Hence, optimal control theory (OCT) can be used as a strong tool to control quantum processes while minimizing a cost function according to the properties of quantum system, e.g., time optimal, [8], energy optimal, [9], etc. Moreover, in comparison with other control methods, OCT [2] has the key superiority of the very high versatility in the control problem formulation, which may include a wide variety of constraints, such as state, control, and mixed state-and-control and constraints.…”

Switching optimal adaptive trajectory tracking control of quantum systems

“…() In particular, the optimal control can manipulate the quantum systems to achieve the control objective while additional features of the transition process, such as power expenditure, the energy function, the transfer time, and the fidelity are optimized. () Accordingly, many studies have published on developing new optimal control techniques for quantum control systems, ie, optimal population transfer in the limit of large transfer time,() time optimal control of quantum systems,() a study on critical points of the optimal quantum control, Pareto optimal quantum control for simultaneous control of an arbitrary number of quantum observable expectation values, optimal control for quantum systems despite the feedback delay, robust optimal control of quantum systems in the presence of the disturbances and the uncertainties, numerical cascade nonlinear conjugate gradient scheme, and nonlinear conjugate gradient scheme . Moreover, several numerical methods have been presented to solve the optimization problem in optimal quantum control including a symmetric split operator method, a semidiscrete paradigm composed of finite element method and conjugate gradient method, the pseudospectral method, a gradient descent algorithm equipped with adaptive step size selection, and greedy algorithms .…”