Capacities of Quantum Amplifier Channels

Abstract

Quantum amplifier channels are at the core of several physical processes. Not only do they model the optical process of spontaneous parametric down-conversion, but the transformation corresponding to an amplifier channel also describes the physics of the dynamical Casimir effect in superconducting circuits, the Unruh effect, and Hawking radiation. Here we study the communication capabilities of quantum amplifier channels. Invoking a recently established minimum output-entropy theorem for single-mode phase-insensitive Gaussian channels, we determine capacities of quantum-limited amplifier channels in three different scenarios. First, we establish the capacities of quantum-limited amplifier channels for one of the most general communication tasks, characterized by the trade-off between classical communication, quantum communication, and entanglement generation or consumption. Second, we establish capacities of quantum-limited amplifier channels for the trade-off between public classical communication, private classical communication, and secret key generation. Third, we determine the capacity region for a broadcast channel induced by the quantum-limited amplifier channel, and we also show that a fully quantum strategy outperforms those achieved by classical coherent detection strategies. In all three scenarios, we find that the capacities significantly outperform communication rates achieved with a naive time-sharing strategy.

16 pages, 2 figures, accepted for publication in Physical Review A

References in corpus (9)

• Quantum Capacities of Bosonic Channels
• Degradability of Bosonic Gaussian channels
• Classical capacity of bosonic broadcast communication and a new minimum output entropy conjecture
• Energy-constrained private and quantum capacities of quantum channels
• Information trade-offs for optical quantum communication
• Gaussian States Minimize the Output Entropy of the One-Mode Quantum Attenuator
• Gaussian states minimize the output entropy of one-mode quantum Gaussian channels
• Fundamental limitations to information transfer in accelerated frames
• Hadamard quantum broadcast channels

Cited by in corpus (14)

• Approaches for approximate additivity of the Holevo information of quantum channels
• Bounding the energy-constrained quantum and private capacities of phase-insensitive bosonic Gaussian channels
• Energy-constrained private and quantum capacities of quantum channels
• Upper bounds on secret key agreement over lossy thermal bosonic channels
• Gaussian states minimize the output entropy of one-mode quantum Gaussian channels
• Gaussian optimizers for entropic inequalities in quantum information
• Quantum capacity of bosonic dephasing channel
• Approximate reversal of quantum Gaussian dynamics
• The One-Mode Quantum-Limited Gaussian Attenuator and Amplifier Have Gaussian Maximizers
• New lower bounds to the output entropy of multi-mode quantum Gaussian channels
• On the minimum output entropy of single-mode phase-insensitive Gaussian channels
• Coherence dynamics induced by attenuation and amplification Gaussian channels
• Sensitivity Analysis of Cascaded Quantum Feedback Amplifier
• Semantic Security with Infinite Dimensional Quantum Eavesdropping Channel