Entanglement distillation from quasifree Fermions

TL;DR

This paper presents a new method for distilling entanglement from bipartite Fermionic systems in quasifree states, demonstrating high efficiency and applicability to large lattice systems.

Contribution

It introduces a scheme for entanglement distillation in quasifree Fermionic systems, including infinite and large lattice cases, with optimal efficiency in some scenarios.

Findings

Scheme is highly efficient and sometimes optimal.

Applicable to infinite one-copy entanglement or multiple systems.

Numerical analysis feasible for over a million lattice sites.

Abstract

We develop a scheme to distill entanglement from bipartite Fermionic systems in an arbitrary quasifree state. It can be applied if either one system containing infinite one-copy entanglement is available or if an arbitrary amount of equally prepared systems can be used. We show that the efficiency of the proposed scheme is in general very good and in some cases even optimal. Furthermore we apply it to Fermions hopping on an infinite lattice and demonstrate in this context that an efficient numerical analysis is possible for more then 10^6 lattice sites.