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Degradability of Fermionic Gaussian Channels.

Eliška Greplová^1,2,3, Géza Giedke^1,4,5

¹Max-Planck-Institut für Quantenoptik, 85748 Garching, Germany.

Physical Review Letters

|December 1, 2018

Summary

We characterized degradable fermionic Gaussian channels, essential for quantum information processing. Our findings reveal these channels simplify to qubit attenuation or amplitude-damping channels.

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Area of Science:

Quantum Information Science
Quantum Optics
Condensed Matter Physics

Background:

Fermionic quantum channels are fundamental to quantum information processing with fermions.
Gaussian channels are particularly relevant for electron quantum optics and quantum information applications.
Degradable channels are of interest due to their simple quantum capacity formula.

Purpose of the Study:

To study the degradability of fermionic Gaussian channels.
To fully characterize all degradable n-mode fermionic Gaussian channels.
To identify the specific types of fermionic Gaussian channels that are degradable.

Main Methods:

Derivation of a simplified standard form for fermionic Gaussian channels.
Analysis of the properties of these standard-form channels.
Characterization of degradability for n-mode fermionic Gaussian channels.

Main Results:

A simple standard form for fermionic Gaussian channels was derived.
All degradable n-mode fermionic Gaussian channels were fully characterized.
The only degradable fermionic Gaussian channels were identified as the qubit attenuation or amplitude-damping channels.

Conclusions:

The study provides a complete characterization of degradable fermionic Gaussian channels.
The findings simplify the understanding of quantum capacity for these channels.
This work contributes to the development of quantum information processing with fermions and electron quantum optics.