  Quantum teleportation is considered a basic primitive in many quantum
information processing tasks and has been experimentally confirmed in various
photonic and matter-based setups. Here, we consider teleportation of quantum
information encoded in modes of a fermionic field. In fermionic systems,
superselection rules lead to a more differentiated picture of entanglement and
teleportation. In particular, one is forced to distinguish between single-mode
entanglement swapping, and qubit teleportation with or without authentication
via Bell inequality violation, as we discuss here in detail. We focus on
systems subject to parity superselection where the particle number is not
fixed, and contrast them with systems constrained by particle number
superselection which are relevant for possible practical implementations.
Finally, we analyze the consequences for the operational interpretation of
fermionic mode entanglement and examine the usefulness of so-called mixed
maximally entangled states for teleportation.
