Abstract

Quantum homomorphic encryption allows a server to directly operate on the encrypted data, which has many applications in privacy preservation. There is an important problem in quantum homomorphic encryption: quantum states may be attacked by eavesdroppers during the transmission process, which gives rise to a wrong evaluation result obtained by the client. However, the problem has not been considered yet. In this letter, we firstly study how to deal with the problem and present a measurement-device-independent quantum homomorphic encryption scheme. Furthermore, this scheme can double the space distance for quantum transmission between client and server compared with the previous works. Additionally, we give some circuit simulations to verify the feasibility of the scheme.

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