Title
Quantum homomorphic encryption scheme with flexible number of evaluator based on ()-threshold quantum state sharing.
Abstract
Quantum homomorphic encryption provides the ability to perform calculations on encrypted data without decrypting them. The number of evaluators in most previous schemes is 1, and in other schemes it is n. In this paper, we propose a novel quantum homomorphic encryption scheme with flexible number of evaluator. One of our main contributions is that the number of evaluators is d (k ⩽ d ⩽ n), here n ≥ 2. These evaluators are allowed to alternately complete the evaluation of single-qubit unitary operations on the shared encrypted sequence. Other work is that for n = 1, we also give the quantum homomorphic encryption scheme that one evaluator can complete the evaluation. Then, for (3, 5)-case and (2, 2)-case, we give two examples (i.e. example-I and example-II) to illustrate the flexibility of evaluators. Finally, it is shown that the scheme is secure from analyzing the private key, plaintext sequence and encrypted sequence.
Year
DOI
Venue
2019
10.1016/j.ins.2019.06.009
Information Sciences
Keywords
DocType
Volume
Quantum homomorphic encryption,Flexible number of evaluator,Single-qubit evaluation operations,Security
Journal
501
ISSN
Citations 
PageRank 
0020-0255
1
0.39
References 
Authors
0
4
Name
Order
Citations
PageRank
Xiu-Bo Chen116336.11
Yi-Ru Sun241.48
Gang Xu33618.66
Yixian Yang41121140.62