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 fo...

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Bibliographic Details
Published inarXiv.org
Main Authors Greplová, Eliška, Giedke, Géza
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 19.12.2018
Subjects
Attenuation
Channels
Damping
Data processing
Degradation
Fermions
Gaussian process
Physics - Quantum Physics
Quantum optics
Quantum phenomena
Quantum theory
Qubits (quantum computing)
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1604.01954