Entanglement Swapping Between Dissipative Systems

TL;DR

This study explores entanglement swapping between two dissipative qubits in non-Markovian environments, demonstrating conditions for long-lasting entanglement despite dissipation, with analysis across different coupling regimes.

Contribution

It introduces the concept of entangling power for swapped entanglement and analyzes its behavior in various coupling and detuning conditions.

Findings

Long-living stationary entanglement can be achieved despite dissipation.

Entangling power varies with coupling strength and detuning.

Maximum swapped entanglement conditions are identified.

Abstract

In this paper, we investigate the possibility of entanglement swapping between two distinct qubits coupled to their own (in general) non-Markovian environments. This is done via Bell state measurement performing on the photons leaving the dissipative cavities. In the continuation, we introduce the concept of entangling power to measure the average of swapped entanglement over all possible pure initial states. Then, we present our results in two strong and weak coupling regimes and discuss the role of detuning parameter in each regime on the amount of swapped entanglement. We also determine the conditions in which the maximum amount of entanglement can be swapped between two qubits. It is revealed that despite of the presence of dissipation, it is possible to create long-living stationary entanglement between two qubits.