Upper bounds on the private capacity for bosonic Gaussian channels

• URL: http://arxiv.org/abs/2001.01179v3
• Date: Thu, 16 Jul 2020 08:03:27 GMT
• Title: Upper bounds on the private capacity for bosonic Gaussian channels
• Authors: Kabgyun Jeong
• Abstract summary: We derive upper bounds on the private capacity for bosonic Gaussian channels involving a general Gaussian-noise case. This work uses a technique known as quantum entropy power inequality to shed light on the mysterious quantum-channel-capacity problems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recently, there have been considerable progresses on the bounds of various quantum channel capacities for bosonic Gaussian channels. Especially, several upper bounds for the classical capacity and the quantum capacity on the bosonic Gaussian channels, via a technique known as quantum entropy power inequality, have been shed light on understanding the mysterious quantum-channel-capacity problems. However, upper bounds for the private capacity on quantum channels are still missing for the study on certain universal upper bounds. Here, we derive upper bounds on the private capacity for bosonic Gaussian channels involving a general Gaussian-noise case through the conditional quantum entropy power inequality.

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