Information transmission with continuous variable quantum erasure channels

TL;DR

This paper investigates the quantum capacity of continuous variable quantum erasure channels, introducing a new coding model and deriving capacity limits to advance understanding in quantum communication.

Contribution

It defines an effective subspace and a random coding model for continuous variable channels, deriving their quantum capacity using decoupling theory, filling a key research gap.

Findings

Derived the quantum capacity of continuous variable erasure channels.

Introduced a new random coding model for these channels.

Provided insights into other continuous variable quantum channels.

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.