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Quantum Teleportation Over a Noisy Relay Channel

  • Yigal Ilin
  • Uzi Pereg
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Abstract

Quantum teleportation and Bell measurements are considered in a noisy relay setting. We introduce two quantum relay-channel models with closed-form capacity formulas, motivated by the canonical quantum communication protocols of teleportation and superdense coding. In both models, the sender transmits a qubit, while the relay observes side information about the Pauli errors that occur in the channel and communicates with the receiver through an orthogonal rate-limited link. We develop a compress-forward coding scheme in which the relay compresses the Pauli-error sequence into bins and sends the bin index to the receiver. The receiver uses this partial error information to reduce the effective channel noise before quantum decoding. We show that this strategy is optimal by establishing matching converse bounds for both models.

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Cite

BibTeXRIS
BibTeX
@misc{ilin2026quantum,
  title = {{Quantum Teleportation Over a Noisy Relay Channel}},
  author = {Yigal Ilin and Uzi Pereg},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23459},
  eprint = {2609.23459},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23459},
}
RIS
TY  - UNPB
TI  - Quantum Teleportation Over a Noisy Relay Channel
AU  - Yigal Ilin
AU  - Uzi Pereg
PY  - 2026
DA  - 2026/09/20
PB  - arXiv
DO  - 10.48550/arxiv.2609.23459
UR  - https://arxiv.org/abs/2609.23459
AB  - Quantum teleportation and Bell measurements are considered in a noisy relay setting. We introduce two quantum relay-channel models with closed-form capacity formulas, motivated by the canonical quantum communication protocols of teleportation and superdense coding. In both models, the sender transmits a qubit, while the relay observes side information about the Pauli errors that occur in the channel and communicates with the receiver through an orthogonal rate-limited link. We develop a compress-forward coding scheme in which the relay compresses the Pauli-error sequence into bins and sends the bin index to the receiver. The receiver uses this partial error information to reduce the effective channel noise before quantum decoding. We show that this strategy is optimal by establishing matching converse bounds for both models.
ER  -