English

Identification Over Quantum Broadcast Channels

Quantum Physics 2023-08-02 v3 Information Theory math.IT

Abstract

Identification over quantum broadcast channels is considered. As opposed to the information transmission task, the decoder only identifies whether a message of his choosing was sent or not. This relaxation allows for a double-exponential code size. An achievable identification region is derived for a quantum broadcast channel, and a full characterization for the class of classical-quantum broadcast channels. The identification capacity region of the single-mode pure-loss bosonic broadcast channel is obtained as a consequence. Furthermore, the results are demonstrated for the quantum erasure broadcast channel, where our region is suboptimal, but improves on the best previously known bounds.

Keywords

Cite

@article{arxiv.2201.11056,
  title  = {Identification Over Quantum Broadcast Channels},
  author = {Johannes Rosenberger and Christian Deppe and Uzi Pereg},
  journal= {arXiv preprint arXiv:2201.11056},
  year   = {2023}
}

Comments

35 pages, 4 figures, journal version; enhanced presentation and structure; shortened explanations of basic quantum knowledge; added figure and comparison of achievable rates for erasure broadcast channel;

R2 v1 2026-06-24T09:04:02.383Z