Tripartite entanglement transfer from flying modes to localized qubits

TL;DR

This paper explores how entanglement can be transferred from a three-mode quantum field to three spatially separated qubits, identifying optimal conditions and analyzing the effects of losses and state types.

Contribution

It provides a detailed analysis of entanglement transfer conditions for different field states and includes the effects of cavity losses and atomic preparations.

Findings

Complete entanglement transfer possible with negligible cavity losses for certain states

Large entanglement transfer achievable with Gaussian states under specific parameters

Purity and bipartite entanglement of the resulting three-qubit states are characterized

Abstract

We investigate the process of entanglement transfer from a three-mode quantized field to a system of three spatially separated qubits each one made of a two-level atom resonantly coupled to a cavity mode. The optimal conditions for entanglement transfer, evaluated by atomic tripartite negativity, are derived for radiation prepared in qubit-like and Gaussian entangled states in terms of field parameters, atom-cavity interaction time, cavity mirror losses, and atomic preparation. For qubit-like states we found that for negligible cavity losses some states may completely transfer their entanglement to the atoms and/or be exactly mapped to the atomic state, whereas for Gaussian states we found a range of field parameters to obtain a large entanglement transfer. The purity of the three-qubit states and the entanglement of two-qubit subsystems are also discussed in some details.