General no-go theorem for entanglement extraction
Petar Simidzija, Robert H. Jonsson, Eduardo Martín-Martínez · Physical review. D/Physical review. D. · 2018
We study under what circumstances a separable bipartite system A-B can or cannot become entangled through local interactions with a bilocal entangled source ${\mathrm{S}}_{1}\text{\ensuremath{-}}{\mathrm{S}}_{2}$. We obtain constraints on the general forms of the interaction Hamiltonians coupling A with ${\mathrm{S}}_{1}$ and B with ${\mathrm{S}}_{2}$ necessary for A and B to become entangled. We are able to generalize and provide nonperturbative insight on several previous no-go theorems of entanglement harvesting from quantum fields using these general results. We also discuss the role of communication in the process of entanglement extraction, establishing a distinction between genuine entanglement extraction and communication-assisted entanglement generation.