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

Abstract

A complete degradability analysis of one-mode Gaussian Bosonic 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 can not be used to transfer quantum information.

23 pages, 3 figures

Cited by in corpus (10)

• Direct and Reverse Secret-Key Capacities of a Quantum Channel
• Characterization of Collective Gaussian Attacks and Security of Coherent-State Quantum Cryptography
• The structure of degradable quantum channels
• Quantum Capacity of a dephasing channel with memory
• Degradability of Bosonic Gaussian channels
• Multi-mode bosonic Gaussian channels
• Fidelity criterion for quantum-domain transmission and storage of coherent states beyond unit-gain constraint
• Not-so-normal mode decomposition
• Qubit quantum channels: A characteristic function approach
• A new approach to characterize qubit channels