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Quantum communication: a discrimination approach
Abstract
We develop a state discrimination approach to unassisted quantum communication through a noisy quantum channel. Starting from the operational duality between entanglement recovery and state discrimination, we construct entanglement-generation codes with explicit decoders constructed from Petz recovery maps. The resulting error bounds hold for every number of channel uses and are expressed in terms of Petz-Rényi coherent information. For product sources, they yield exponential error decay at rates below coherent information.
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BibTeX
@misc{cheng2026quantum,
title = {{Quantum communication: a discrimination approach}},
author = {Hao-Chung Cheng},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40358},
eprint = {2610.40358},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40358},
}
RIS
TY - UNPB
TI - Quantum communication: a discrimination approach
AU - Hao-Chung Cheng
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.40358
UR - https://arxiv.org/abs/2610.40358
AB - We develop a state discrimination approach to unassisted quantum communication through a noisy quantum channel. Starting from the operational duality between entanglement recovery and state discrimination, we construct entanglement-generation codes with explicit decoders constructed from Petz recovery maps. The resulting error bounds hold for every number of channel uses and are expressed in terms of Petz-Rényi coherent information. For product sources, they yield exponential error decay at rates below coherent information.
ER -