One-mode bosonic Gaussian channels: a full weak-degradability classification

By Filippo Caruso, Vittorio Giovannetti, Alexander S. Holevo. 2006

134 citations recorded by the source corpus.

A complete degradability analysis of one-mode bosonic Gaussian channels is presented. We show that apart from the class of channels which are unitarily equivalent to the channels with additive classical noise, these maps can be characterized in terms of weak- and/or anti-degradability. Furthermore a new set of channels which have null quantum capacity is identified. This is done by exploiting the composition rules of one-mode Gaussian maps and the fact that anti-degradable channels cannot be used to transfer quantum information.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/c5a92cb19de1463eaef801abf175adca400d7091

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer (2020, background): “Furthermore, this type of noise is closely related to pure loss—following a pure loss channel by an amplifier of the inverse strength leads to a classical noise channel [171–174].”
The structure of degradable quantum channels (2008, background): “Conditions for the degradability of bosonic Gaussian channels were studied in [5, 18, 40], but will not be considered here.”
Performance and structure of single-mode bosonic codes (2017, unknown): “2.3; see also [50]).”