Simple proof of confidentiality for private quantum channels in noisy environments

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2019
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Pirker, Alexander
Zwerger, Michael
Dunjko, Vedran
Dür, Wolfgang
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Quantum Science and Technology. 2019, 4(2), 025009. eISSN 2058-9565. Available under: doi: 10.1088/2058-9565/ab03ac
Zusammenfassung

Complete security proofs for quantum communication protocols can be notoriously involved, which convolutes their verification, and obfuscates the key physical insights the security finally relies on. In such cases, for the majority of the community, the utility of such proofs may be restricted. Here, we provide a simple proof of confidentiality for parallel quantum channels established via entanglement distillation based on hashing, in the presence of noise, and a malicious eavesdropper who is restricted only by the laws of quantum mechanics. The direct contribution lies in improving the linear confidentiality levels of recurrence-type entanglement distillation protocols to exponential levels for hashing protocols. The proof directly exploits the security relevant physical properties: measurement-based quantum computation with resource states and the separation of Bell-pairs from an eavesdropper. The proof also holds for situations where Eve has full control over the input states, and obtains all information about the operations and noise applied by the parties. The resulting state after hashing is private, i.e. disentangled from the eavesdropper. Moreover, the noise regimes for entanglement distillation and confidentiality do not coincide: confidentiality can be guaranteed even in situations where entanglement distillation fails. We extend our results to multiparty situations which are of special interest for secure quantum networks.

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ISO 690PIRKER, Alexander, Michael ZWERGER, Vedran DUNJKO, Hans J. BRIEGEL, Wolfgang DÜR, 2019. Simple proof of confidentiality for private quantum channels in noisy environments. In: Quantum Science and Technology. 2019, 4(2), 025009. eISSN 2058-9565. Available under: doi: 10.1088/2058-9565/ab03ac
BibTex
@article{Pirker2019-04-01Simpl-45650,
  year={2019},
  doi={10.1088/2058-9565/ab03ac},
  title={Simple proof of confidentiality for private quantum channels in noisy environments},
  number={2},
  volume={4},
  journal={Quantum Science and Technology},
  author={Pirker, Alexander and Zwerger, Michael and Dunjko, Vedran and Briegel, Hans J. and Dür, Wolfgang},
  note={Article Number: 025009}
}
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