Peter Rohde

The gold-standard for security in quantum cryptographic protocols is information-theoretic security, because such a form of security that makes no assumptions on the hardness of any computational problems and relies only on the fundamental laws of quantum mechanics, will be surely future-proof. Here, we revisit a permutational-key quantum homomorphic encryption protocol with information-theoretic security. We explain how this protocol can be integrated with quantum error correction that allows the error correction encoding to be 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.