Related papers: Quantum and private capacities of low-noise channels

Quantum and private capacities of low-noise channels

URL: http://arxiv.org/abs/1705.04335v3
Date: Tue, 5 Dec 2023 15:51:57 GMT
Title: Quantum and private capacities of low-noise channels
Authors: Felix Leditzky, Debbie Leung and Graeme Smith
Abstract summary: We determine both the quantum and the private capacities of low-noise quantum channels to leading orders. Super-additivity and degenerate codes have negligible benefit for the quantum capacity. shielding does not improve the private capacity beyond the quantum capacity.
Score: 10.098114696565863
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We determine both the quantum and the private capacities of low-noise quantum channels to leading orders in the channel's distance to the perfect channel. It has been an open problem for more than 20 years to determine the capacities of some of these low-noise channels such as the depolarizing channel. We also show that both capacities are equal to the single-letter coherent information of the channel, again to leading orders. We thus find that, in the low noise regime, super-additivity and degenerate codes have negligible benefit for the quantum capacity, and shielding does not improve the private capacity beyond the quantum capacity, in stark contrast to the situation when noisier channels are considered.

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