Qubit Movement-Assisted Entanglement Swapping

TL;DR

This paper introduces a scheme for entangling distant qubits in non-Markovian cavities using qubit movement and entanglement swapping, demonstrating enhanced entanglement stability and independence from environmental factors.

Contribution

It presents a novel approach that leverages qubit movement to improve entanglement swapping efficiency and stability in non-Markovian environments.

Findings

Movement of qubits enhances swapped entanglement.

Maximally long-lasting entanglement achieved under specific initial conditions.

Entanglement stability is independent of environmental variables when qubits share the same velocity.

Abstract

In this paper, we propose a scheme to generate entanglement between two distant qubits (two-level atom) which are separately trapped in their own (in general) non-Markovian dissipative cavities by utilizing entangling swapping. We consider the case in which the qubits can move along their cavity axes rather than a static state of motion. We first examine the role of movement of the qubit by studying the entropy evolution for each subsystem. We calculate the average entropy over the initial states of the qubit. Then by performing a Bell state measurement on the fields leaving the cavities, we swap the entanglement between qubit-field in each cavity into qubit-qubit and field-field subsystems. We use the entangling power to measure the average amount of swapped entanglement over all possible pure initial states. Our results are presented in two weak and strong coupling regimes. Our results illustrate the positive role of the movement of the qubits on the swapped entanglement. It is revealed that by considering certain conditions for the initial state of qubits, it is possible to achieve a maximally long-leaving stationary entanglement (Bell state) which is entirely independent of the environmental variables as well as the velocity of qubits. This happens when the two qubits have the same velocities.