Estimating Quantum and Private capacities of Gaussian channels via degradable extensions

Abstract

We present upper bounds on the quantum and private capacity of single-mode, phase-insentitive Bosonic Gaussian Channels based on degradable extensions. Our findings are state-of-the-art in the following parameter regions: low temperature and high transmissivity for the thermal attenuator, low temperature for additive Gaussian noise, high temperature and intermediate amplification for the thermal amplifier.

5+4 pages, 3 figures. Typos corrected, improved presentation

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• Quantum Optical Communication in the presence of strong attenuation noise
• Testing identity of collections of quantum states: sample complexity analysis