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Quantum Channels Communication Theory

Circulant quantum channels and its applications

arXiv
Authors: Bing Xie, Lin Zhang

Year

2026

Paper ID

3435

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

This note introduces a family of circulant quantum channels - a subclass of the mixed-permutation channels - and investigates its key structural and operational properties. We show that the image of the circulant quantum channel is precisely the set of circulant matrices. This characterization facilitates the analysis of arbitrary n-th order Bargmann invariants. Furthermore, we prove that the channel is entanglement-breaking, implying a substantially reduced resource cost for erasing quantum correlations compared to a general mixed-permutation channel. Applications of this channel are also discussed, including the derivation of tighter lower bounds for ellp-norm coherence and a characterization of its action in bipartite systems.

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  • This paper contributes to the Quantum Channels & Communication Theory research area in the Quantum Articles archive.
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  • This note introduces a family of circulant quantum channels - a subclass of the mixed-permutation channels - and investigates its key structural and operational properties.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.16435 [2] arXiv https://arxiv.org/abs/2601.16435 [3] Publisher https://arxiv.org/abs/2601.16435

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