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Lyapunov control of quantum systems with impulsive control fields
Thescientificworldjournal
|June 15, 2013
Summary
We introduce Lyapunov control for quantum systems using impulsive fields. This method ensures system convergence, demonstrated by numerical simulations for effective quantum control.
Area of Science:
- Quantum Control
- Quantum Dynamics
- Control Theory
Background:
- Quantum systems are governed by the Schrödinger equation.
- Controlling quantum systems is crucial for quantum technologies.
- Impulsive control fields offer a unique approach to manipulate quantum states.
Purpose of the Study:
- To investigate Lyapunov control for finite-dimensional quantum systems.
- To analyze the convergence of quantum systems under impulsive control.
- To develop new sufficient conditions for effective quantum control.
Main Methods:
- Utilizing three distinct Lyapunov functions.
- Applying the invariant principle for impulsive systems.
- Developing analytical conditions for system convergence.
Main Results:
- Established sufficient conditions for the convergence of quantum systems with impulsive control.
- Demonstrated the effectiveness of the proposed Lyapunov control method.
- Validated the theoretical findings through two numerical simulations.
Conclusions:
- The proposed Lyapunov control strategy is effective for finite-dimensional quantum systems.
- Impulsive control fields can be reliably used to steer quantum system dynamics.
- The derived conditions provide a theoretical basis for designing quantum controllers.
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