Manipulation of NOT gate in Non-Markovian open quantum systems

Author

Jianxiu Liu ; Shuang Cong

Author_Institution

Dept. of Autom., Univ. of Sci. & Technol. of China, Hefei, China

fYear

2014

Firstpage

1231

Lastpage

1236

Abstract

The manipulation of gate operators in Non-Markovian open quantum systems are studied in this paper. A Lyapunov function based on operator distance is proposed. An additional adjustable item and the time-dependent control gain in Lyapunov control laws are used to improve control accuracy. In addition, another set of control laws is designed to maintain gate operators within given accuracy as long as possible. The proposed scheme is applied to prepare single qubit NOT gate in a two-level Non-Markovian system by the numerical simulations. The results demonstrate that the error can be limited within the level of 10^-4 for a significant long time and the system under the proposed control law is robust against the uncertainties of system parameters.

Keywords

Lyapunov methods; control system synthesis; discrete systems; Lyapunov control laws; Lyapunov function; NOT gate manipulation; adjustable item; control law design; gate operators; nonMarkovian open quantum systems; numerical simulations; operator distance; qubit NOT gate; system parameter uncertainty; time-dependent control gain; Accuracy; Equations; Logic gates; Lyapunov methods; Mathematical model; Numerical simulation; Quantum computing; Non-Markovian; control accuracy; improved Lyapunov control law; robustness; single qubit NOT gate;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2014 11th World Congress on

Type

conf

DOI

10.1109/WCICA.2014.7052895

Filename

7052895