Degradability of Fermionic Gaussian Channels

We study the degradability of fermionic Gaussian channels. Fermionic quantum channels are a central building block of quantum information processing with fermions and the family of Gaussian channels, in particular, is relevant in the emerging field of electron quantum optics and its applications for quantum information. Degradable channels are of particular interest since they have additive quantum capacity. We derive a simple standard form for fermionic Gaussian channels. This allows us fully characterize all degradable $n$-mode fermionic Gaussian channels. Consequences for the quantum capacity of those channels are discussed.