Eur. Phys. J. Special Topics 203, 25-47 (2012)
https://doi.org/10.1140/epjst/e2012-01533-3

Regular Article

Robustness of tripartite entanglement transfer from bosonic modes to localized qubits

¹ Dipartimento di Fisica, Università degli Studi di Milano, 20133 Milano, Italy
² CNISM, UdR Milano Statale, 20133 Milano, Italy
³ Dipartimento di Scienze e Alta Tecnologia, Università dell’Insubria, 22100 Como, Italy
⁴ QOLS, Blackett Laboratory, Imperial College London, London SW7 2AZ, UK

^a e-mail: alfredo.lulli@leonexiii.it

Received: 13 January 2012
Revised: 21 February 2012
Published online: 11 April 2012

Abstract

We address entanglement transfer from a three-mode bosonic system to a tripartite systems of spatially separated flying or fixed qubits through the interaction with their local environments. We focus on the robustness of entanglement transfer against several effects, including off-resonant interactions for both qubit-local environment and local environment-bosonic mode subsystems, and also exploring the effect of changing the coupling constants, with the possibility to have different values for each qubit-local environment interaction. For the entangled bosonic modes we consider both Gaussian states and qubit-like states, comparing three different Generalized Schmidt Decompositions forms widely used in the literature and analyzing how the deviation from qubit-like approximation influences entanglement transfer. Finally, we investigate the multimode coupling between bosonic modes and each local environment showing a comparison between various qubit-like initial states and discussing how to improve the efficiency of entanglement transfer.