PSO-assisted Lyapunov control design for quantum systems

2020 ◽  
Author(s):  
Xiaoke Guan ◽  
Sen Kuang ◽  
Daoyi Dong
Keyword(s):  
Control Design ◽  
Quantum Systems ◽  
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 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

Control Design of Uncertain Quantum Systems With Fuzzy Estimators

2012 ◽  
Vol 20 (5) ◽  
pp. 820-831 ◽  
Author(s):  
Chunlin Chen ◽  
Daoyi Dong ◽  
James Lam ◽  
Jian Chu ◽  
Tzyh-Jong Tarn
Keyword(s):  
Control Design ◽  
Quantum Systems

Lyapunov control methods of closed quantum systems

Automatica ◽  
2008 ◽  
Vol 44 (1) ◽  
pp. 98-108 ◽  
Author(s):  
Sen Kuang ◽  
Shuang Cong
Keyword(s):  
Quantum Systems ◽  
Control Methods ◽  
Lyapunov Control
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