Degradability of Fermionic Gaussian Channels

Abstract

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 a simple formula that characterizes their quantum capacity. We derive a simple standard form for fermionic Gaussian channels. This allows us to fully characterize all degradable $n$-mode fermionic Gaussian channels. In particular, we show that the only degradable such channels correspond to the attenuation or amplitude-damping channel for qubits.

5 pages, 1 figure + Supplementary Material. Updated proof of Theorem 1

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• Teleporting quantum information encoded in fermionic modes
• Free-fermion Page Curve: Canonical Typicality and Dynamical Emergence
• A classification of Markovian fermionic Gaussian master equations
• Interpolated Collision Model Formalism