• 网络与信息安全 •

### 通用的量子同态加密框架

1. 1. 电子科技大学 信息与软件工程学院，成都 610054
2. 闽南师范大学 计算机学院，福建 漳州 363000
• 出版日期:2016-11-01 发布日期:2016-11-04

### Universal Quantum Homomorphic Encryption Framework

WANG Yuqi1,2+, SHE Kun1

1. 1. School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China
2. College of Computer, Minnan Normal University, Zhangzhou, Fujian 363000, China
• Online:2016-11-01 Published:2016-11-04

Abstract: Through studying quantum homomorphic encryption, this paper proposes a general construction method for quantum homomorphic operator, thus sets up a universal construction framework for quantum homomorphic encryption scheme. Compared with existing quantum homomorphic encryption schemes, the schemes constructed by the universal construction framework according to the binary and ternary quantum unitary transformations, are more feasible. This paper analyzes the security of the universal framework from two respects. One is the security of quantum encryption scheme. The other is the security of the secret key. In the universal construction framework, the symmetric quantum encryption scheme is used and the evaluation algorithm is dependent on the secret key in the process of constructing the corresponding quantum homomorphic operator. As a result, the universal construction framework is a kind of weak symmetric quantum homomorphic encryption framework. Finally, it is generalized to the case of the quantum public key encryption.