Talk on
Localizable Entanglement & Gaussian Fermionic PEPS

Thorsten Wahl (MPQ)

This talk consists of two parts. In the first one I will introduce the
concept of Localizable Entanglement, which is important for the detection
of topological quantum phase transitions and ideal quantum repeaters in
the case where the Localizable Entanglement is constant over arbitrary
long distances. Finally, I will provide a necessary and sufficient
condition for the later case (also denoted as long-range Localizable
Entanglement) for Matrix Product States.
The second part of my talk is devoted to the approximation of topological
insulators by Gaussian fermionic PEPS which are the free Fermionic version
of Projected Entangled Pair States. I will show under which conditions
Gaussian fermionic PEPS are topologically non-trivial.