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PreprintarXiv licencearXiv

Decoy-state quantum key distribution with a leaky Mach-Zehnder receiver

Abstract

We prove the security of phase-encoded decoy-state BB84 quantum key distribution for a Mach-Zehnder receiver with imbalanced beam splitters and two threshold detectors that leak fine-grained information about the detection patterns. For this, we derive a lower bound on Bob's single-photon contributions and combine it with the decoy-state method and a recent phase-error framework for leaky receivers. The leakage-induced correction to the phase-error rate is independent of channel loss, providing a loss-tolerant treatment of receiver leakage even in the presence of beam-splitter imbalance. Our results provide a practical route toward loss-tolerant security proofs for imperfect QKD receivers in the presence of receiver leakage.

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BibTeX
@misc{mizusawa2026decoystate,
  title = {{Decoy-state quantum key distribution with a leaky Mach-Zehnder receiver}},
  author = {Ryohei Mizusawa and Álvaro Navarrete and Akihiro Mizutani and Kiyoshi Tamaki},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.04539},
  eprint = {2611.04539},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.04539},
}
RIS
TY  - UNPB
TI  - Decoy-state quantum key distribution with a leaky Mach-Zehnder receiver
AU  - Ryohei Mizusawa
AU  - Álvaro Navarrete
AU  - Akihiro Mizutani
AU  - Kiyoshi Tamaki
PY  - 2026
DA  - 2026/11/03
PB  - arXiv
DO  - 10.48550/arxiv.2611.04539
UR  - https://arxiv.org/abs/2611.04539
AB  - We prove the security of phase-encoded decoy-state BB84 quantum key distribution for a Mach-Zehnder receiver with imbalanced beam splitters and two threshold detectors that leak fine-grained information about the detection patterns. For this, we derive a lower bound on Bob's single-photon contributions and combine it with the decoy-state method and a recent phase-error framework for leaky receivers. The leakage-induced correction to the phase-error rate is independent of channel loss, providing a loss-tolerant treatment of receiver leakage even in the presence of beam-splitter imbalance. Our results provide a practical route toward loss-tolerant security proofs for imperfect QKD receivers in the presence of receiver leakage.
ER  -