State transfer for closed quantum systems with dipole and polarizing coupling via implicit Lyapunov control

2015 ◽  
Author(s):  
Zhao Shouwei ◽  
Lin Hai ◽  
Sun Jitao ◽  
Zhou Lei
Keyword(s):  
Quantum Systems ◽  
State Transfer ◽  
Lyapunov Control

Lyapunov control on quantum systems

2014 ◽  
Vol 28 (30) ◽  
pp. 1430020 ◽  
Author(s):  
L. C. Wang ◽  
X. X. Yi
Keyword(s):  
Quantum System ◽  
Open Quantum System ◽  
Open Quantum Systems ◽  
Logic Gates ◽  
Quantum Systems ◽  
Open Quantum ◽  
Quantum Operations ◽  
Lyapunov Control ◽  
Decoherence Free Subspace ◽  
General Method

We review the scheme of quantum Lyapunov control and its applications into quantum systems. After a brief review on the general method of quantum Lyapunov control in closed and open quantum systems, we apply it into controlling quantum states and quantum operations. The control of a spin-1/2 quantum system, driving an open quantum system into its decoherence free subspace (DFS), constructing single qubit and two-qubit logic gates are taken to illustrate the scheme. The optimalization of the Lyapunov control is also reviewed in this article.

scholarly journals Lyapunov Control of Quantum Systems with Impulsive Control Fields

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Wei Yang ◽  
Jitao Sun
Keyword(s):  
Lyapunov Functions ◽  
Control Method ◽  
Impulsive Control ◽  
Sufficient Conditions ◽  
Quantum Systems ◽  
Impulsive Systems ◽  
Finite Dimensional ◽  
Lyapunov Control ◽  
Control Of Quantum Systems ◽  
Invariant Principle

We investigate the Lyapunov control of finite-dimensional quantum systems with impulsive control fields, where the studied quantum systems are governed by the Schrödinger equation. By three different Lyapunov functions and the invariant principle of impulsive systems, we study the convergence of quantum systems with impulsive control fields and propose new results for the mentioned quantum systems in the form of sufficient conditions. Two numerical simulations are presented to illustrate the effectiveness of the proposed control method.

scholarly journals Hybrid Impulsive Control for Closed Quantum Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Shouwei Zhao ◽  
Jitao Sun ◽  
Hai Lin
Keyword(s):  
Numerical Simulation ◽  
Control Systems ◽  
Impulsive Control ◽  
Transfer Problem ◽  
Quantum Systems ◽  
Lyapunov Methods ◽  
Invariant Sets ◽  
Control Performance ◽  
State Transfer ◽  
Impulsive Control Systems

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.

scholarly journals Rapid Lyapunov control of finite-dimensional quantum systems

Automatica ◽  
2017 ◽  
Vol 81 ◽  
pp. 164-175 ◽  
Author(s):  
Sen Kuang ◽  
Daoyi Dong ◽  
Ian R. Petersen
Keyword(s):  
Quantum Systems ◽  
Finite Dimensional ◽  
Lyapunov Control
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