Abstract
The state transfer problem of a class of nonideal quantum systems is investigated. It is known that traditional Lyapunov methods may fail to guarantee convergence for the nonideal case. Hence, a hybrid impulsive control is proposed to accomplish a more accurate convergence. In particular, the largest invariant sets are explicitly characterized, and the convergence of quantum impulsive control systems is analyzed accordingly. Numerical simulation is also presented to demonstrate the improvement of the control performance.
Highlights
One of major concerns in quantum control is how to steer quantum states to a desired target state precisely and efficiently
The following theorem presents the characterization of the invariant set for the nonideal systems under the hybrid impulsive control, by which the invariant set is smaller compared with that obtained by the conventional Lyapunov method
We can see that our result reduces the invariant set for the nonideal case
Summary
One of major concerns in quantum control is how to steer quantum states to a desired target state precisely and efficiently. The impulsive control idea has been used in the control of open quantum systems to suppress decoherence, for example, bang-bang pulses [13,14,15,16,17,18], and the minimal time control of spin systems [19, 20] It is realized by a sequence of unitary operations, characteristic of instantaneous pulses. The so called hard pulses in NMR are analogous to this picture With this understanding, this paper will focus on the development of hybrid impulsive control design itself to achieve more accurate convergence under the nonideal cases.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
