Lyapunov Based Control for One Qubit Quantum Gates in Coherence Vector Formulation
Bilal Riaz, Shuang Cong, Shahid Qamar · 2018
The design of one qubit quantum gates with Lyapunov-based method is studied in this paper. Firstly, one qubit quantum control system is described in the coherence vector formation, then two types of Lyapunov functions are selected to implement NOT gate. The performances of control laws derived from both Lyapunov functions are compared and analyzed by means of the simulations for the NOT gate implementation.