General Impossibility of Group Homomorphic Encryption in the Quantum World

  title={General Impossibility of Group Homomorphic Encryption in the Quantum World},
  author={Frederik Armknecht and Tommaso Gagliardoni and Stefan Katzenbeisser and Andreas Peter},
  journal={IACR Cryptol. ePrint Arch.},
Group homomorphic encryption represents one of the most important building blocks in modern cryptography. It forms the basis of widely-used, more sophisticated primitives, such as CCA2-secure encryption or secure multiparty computation. Unfortunately, recent advances in quantum computation show that many of the existing schemes completely break down once quantum computers reach maturity mainly due to Shor's algorithm. This leads to the challenge of constructing quantum-resistant group… 

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