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universal quantum circuit evaluation on encrypted data using probabilistic quantum homomorphic encryption scheme

Chinese Physics B 2021年第7期30卷 45-54页

作者： Jing-Wen Zhang Xiu-Bo Chen Gang Xu Yi-Xian Yang Information Security Center State Key Laboratory of Networking and Switching TechnologyBeijing University of Posts and TelecommunicationsBeijing 100876China School of Information Science and Technology North China University of TechnologyBeijing 100144China

Homomorphic encryption has giant advantages in the protection of privacy *** this paper,we present a new kind of probabilistic quantum homomorphic encryption scheme for the universal quantum circuit ***,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 *** using the set synthesized by Clifford gates and T gates,it is feasible to perform the arbitrary quantum computation on the encrypted ***,our scheme is different from the previous scheme described by the quantum homomorphic encryption *** the perspective of application,a two-party probabilistic quantum homomorphic encryption scheme is *** 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 ***,the security of probabilistic quantum homomorphic encryption scheme is analyzed in *** demonstrates that the scheme has favorable security in three aspects,including privacy data,evaluated data and encryption and decryption keys.

关键词： quantum homomorphic encryption universal quantum circuit non-maximally entangled state security

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universal quantum circuit of near-trivial transformations

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Science China(Physics,Mechanics & Astronomy) 2011年第10期54卷 1819-1827页

作者： LIANG Min YANG Li State Key Laboratory of Information Security Graduate University of Chinese Academy of Sciences Beijing 100049 China

Any unitary transformation can be decomposed into a product of a group of near-trivial transformations. We investigate in detail theconstruction of universal quantum circuit of near trivial transformations. We first construct two universal quantum circuits whichcan implement any single-qubit rotation Ry(θ) and Rz(θ) within any given precision, and then we construct universal quantum circuitimplementing any single-qubit transformation within any given precision. Finally, a universal quantum circuit implementing anyn-qubit near-trivial transformation is constructed using the universal quantum circuits of Ry(θ) and Rz(θ). In the universal quantumcircuit presented, each quantum transformation is encoded to a bit string which is used as ancillary inputs. The output of the circuitconsists of the related bit string and the result of near-trivial transformation. Our result may be useful for the design of universalquantum computer in the future.

关键词： quantum computation quantum circuit universal quantum circuit near-trivial transformation

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