Generation of field mediated three qubit entangled state shared by Alice and Bob

TL;DR

This paper proposes a scheme to generate a tripartite entangled state shared between two atoms in Alice's cavity and one atom in Bob's cavity using two-mode squeezed light, extending previous bipartite entanglement methods.

Contribution

It introduces a novel method for creating three-qubit entanglement across remote atoms via field-mediated interactions, expanding on prior bipartite entanglement schemes.

Findings

Global negativity detects free entanglement of the three-atom state.

Partial negativities reveal pairwise entanglement among qubits.

The generated entanglement has a W-like structure, not GHZ-like.

Abstract

A scheme to generate shared tripartite entangled states, with two-trapped atoms in a cavity held by Alice (qubits A1 and A2) entangled to a single trapped atom in a remote lab owned by Bob (B), is proposed. The entanglement is generated through interaction of trapped atoms with two mode squeezed light shared by the two cavities. The proposed scheme is an extension of the proposal of ref. [W. Son, M. S. Kim, J. Lee, and D. Ahn, J. Mod. Opt. 49, 1739 (2002)], where the possibility of entangling two remote qubits using a bipartite continuous variable state was examined. While the global negativity detects the free entanglement of the three atom mixed state, the bound entanglement is detected by the negativity calculated from pure state decomposition of the state operator. The partial negativities calculated by selective partial transposition of the three atom mixed state detect the pairwise entanglement of qubit pairs A1B, A2B, and A1A2. The entanglement of three atoms is found to be W-like, no GHZ like quantum correlations being generated.