On the classical capacity of quantum Gaussian channels

Abstract

The set of quantum Gaussian channels acting on one bosonic mode can be classified according to the action of the group of Gaussian unitaries. We look for bounds on the classical capacity for channels belonging to such a classification. Lower bounds can be efficiently calculated by restricting to Gaussian encodings, for which we provide analytical expressions.

10 pages, IOP style. v2: minor corrections, close to the published version

References 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
• One-mode Bosonic Gaussian channels: a full weak-degradability classification
• Correlation Matrices of Two-Mode Bosonic Systems
• Unitarily localizable entanglement of Gaussian states
• Multimode uncertainty relations and separability of continuous variable states
• Multi-mode bosonic Gaussian channels
• Quartic quantum theory: an extension of the standard quantum mechanics
• Bipartite quantum systems: on the realignment criterion and beyond
• Capacities of lossy bosonic channel with correlated noise