Entanglement generation between distant atoms by Lyapunov control

TL;DR

This paper presents a Lyapunov control method for creating entanglement between distant atoms in cavities connected by fibers, demonstrating improved robustness and exponential convergence to the target state.

Contribution

The paper introduces a novel Lyapunov control approach for entanglement generation between remote atoms, outperforming traditional geometric schemes in robustness and convergence speed.

Findings

Concurrence increases monotonically and exponentially under Lyapunov control.

The method is more robust than geometric schemes.

Achieves efficient entanglement between distant atoms.

Abstract

We show how to apply Lyapunov control design to the problem of entanglement creation between two atoms in distant cavities connected by optical fibers. The Lyapunov control design is optimal in the sense that the distance from the target state decreases monotonically and exponentially, and the concurrence increases accordingly. This method is far more robust than simple geometric schemes.