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Permutational-key quantum homomorphic encryption with homomorphic quantum error-correction

22 April 2022
Yingkai Ouyang
P. Rohde
ArXiv (abs)PDFHTML
Abstract

The gold-standard for security in quantum cryptographic protocols is information-theoretic security. Information-theoretic security is surely future-proof, because it makes no assumptions on the hardness of any computational problems and relies only on the fundamental laws of quantum mechanics. Here, we revisit a permutational-key quantum homomorphic encryption protocol with information-theoretic security. We explain how to integrate this protocol with quantum error correction that has the error correction encoding as a homomorphism. This feature enables both client and server to apply the encoding and decoding step for the quantum error correction, without use of the encrypting permutation-key.

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@article{ouyang2025_2204.10471,
  title={ Permutational-key quantum homomorphic encryption with homomorphic quantum error-correction },
  author={ Yingkai Ouyang and Peter P. Rohde },
  journal={arXiv preprint arXiv:2204.10471},
  year={ 2025 }
}
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