Information transmission with continuous variable quantum erasure
channels
- URL: http://arxiv.org/abs/2205.09711v2
- Date: Wed, 14 Dec 2022 11:50:34 GMT
- Title: Information transmission with continuous variable quantum erasure
channels
- Authors: Changchun Zhong, Changhun Oh, Liang Jiang
- Abstract summary: We identify a continuous variable quantum erasure channel in continuous variable settings.
We derive the quantum capacity of the continuous variable erasure channel in the framework of decoupling theory.
The discussion in this paper fills the gap of quantum erasure channel in continuous variable settings and sheds light on the understanding of other type of continuous variable quantum channels.
- Score: 2.8655318786364408
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum capacity, as the key figure of merit for a given quantum channel,
upper bounds the channel's ability in transmitting quantum information.
Identifying different type of channels, evaluating the corresponding quantum
capacity and finding the capacity-approaching coding scheme are the major tasks
in quantum communication theory. Quantum channel in discrete variables has been
discussed enormously involving various error models, while error model in the
continuous variable channel has been less studied due to the infinite
dimensional problem. In this paper, we investigate a general continuous
variable quantum erasure channel. By defining an effective subspace of the
continuous variable system, we find a continuous variable random coding model.
We then derive the quantum capacity of the continuous variable erasure channel
in the framework of decoupling theory. The discussion in this paper fills the
gap of quantum erasure channel in continuous variable settings and sheds light
on the understanding of other type of continuous variable quantum channels.
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