Universal quantum circuit evaluation on encrypted data using probabilistic quantum homomorphic encryption scheme*

Abstract

Homomorphic encryption has giant advantages in the protection of privacy information. In this paper, we present a new kind of probabilistic quantum homomorphic encryption scheme for the universal quantum circuit evaluation. Firstly, the pre-shared non-maximally entangled states are utilized as auxiliary resources, which lower the requirements of the quantum channel, to correct the errors in non-Clifford gate evaluation. By using the set synthesized by Clifford gates and T gates, it is feasible to perform the arbitrary quantum computation on the encrypted data. Secondly, our scheme is different from the previous scheme described by the quantum homomorphic encryption algorithm. From the perspective of application, a two-party probabilistic quantum homomorphic encryption scheme is proposed. It is clear what the computation and operation that the client and the server need to perform respectively, as well as the permission to access the data. Finally, the security of probabilistic quantum homomorphic encryption scheme is analyzed in detail. It demonstrates that the scheme has favorable security in three aspects, including privacy data, evaluated data and encryption and decryption keys.

Data Encryption Technology Analysis of Robot Computer Network Information

“…Symmetric encryption algorithms are used to encrypt large data files, while symmetric encryption algorithms are used to replace the key used by the symmetric encryption algorithm. This method can increase the efficiency of encryption and simplify key management [14].…”

Delegated quantum neural networks for encrypted data

“…These schemes are mainly based on quantum homomorphic encryption (QHE), blind quantum computing (BQC), and other technologies. Most QHE technologies [14][15][16][17][18][19][20] require the client to have certain quantum capabilities, such as preparing, operating, or measuring quantum states. This undoubtedly adds the quantum burdens to the client.…”