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Revocable Cryptography from Learning with Errors

Authors:
Prabhanjan Ananth , UCSB
Alexander Poremba , Caltech
Vinod Vaikuntanathan , MIT
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Presentation: Slides
Conference: TCC 2023
Abstract: Quantum cryptography leverages many unique features of quantum information in order to construct cryptographic primitives that are oftentimes impossible classically. In this work, we build on the no-cloning principle of quantum mechanics and design cryptographic schemes with key-revocation capabilities. We consider schemes where secret keys are represented as quantum states with the guarantee that, once the secret key is successfully revoked from a user, they no longer have the ability to perform the same functionality as before. We define and construct several fundamental cryptographic primitives with key-revocation capabilities, namely pseudorandom functions, secret-key and public-key encryption, and even fully homomorphic encryption. Our constructions either assume the quantum subexponential hardness of the learning with errors problem or are based on new conjectures. Central to all our constructions is our approach for making the Dual-Regev encryption scheme (Gentry, Peikert and Vaikuntanathan, STOC 2008) revocable.
BibTeX
@inproceedings{tcc-2023-33599,
  title={Revocable Cryptography from Learning with Errors},
  publisher={Springer-Verlag},
  author={Prabhanjan Ananth and Alexander Poremba and Vinod Vaikuntanathan},
  year=2023
}