Quantum Fully Homomorphic Encryption by Integrating Pauli One-time Pad with Quaternions
文献类型：期刊论文
| 作者 | Ma, Guangsheng1,2; Li, Hongbo2,3 |
| 刊名 | QUANTUM
 |
| 出版日期 | 2022-12-01 |
| 卷号 | 6页码:45 |
| ISSN号 | 2521-327X |
| 英文摘要 | Quantum fully homomorphic encryption (QFHE) allows to evaluate quantum circuits on encrypted data. We present a novel QFHE scheme, which extends Pauli one-time pad encryption by relying on the quaternion representation of SU(2). With the scheme, evaluating 1-qubit gates is more efficient, and evaluating general quantum circuits is polynomially improved in asymptotic complexity. Technically, a new encrypted multi-bit control technique is proposed, which allows to perform any 1-qubit gate whose parameters are given in the encrypted form. With this technique, we establish a conversion between the new encryption and previous Pauli one-time pad encryption, bridging our QFHE scheme with previous ones. Also, this technique is useful for private quantum circuit evaluation. The security of the scheme relies on the hardness of the underlying quantum capable FHE scheme, and the latter sets its security on the learning with errors problem and the circular security assumption. |
| 资助项目 | China National Key Research and Development Projects ; Chinese Postdoctoral Science Foundation[2020YFA0712300] ; Chinese Postdoctoral Science Foundation[2018YFA0704705] ; [2020M680716] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000892488300001 |
| 出版者 | VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60565]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ma, Guangsheng |
| 作者单位 | 1.North China Elect Power Univ, Sch Math & Phys, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ma, Guangsheng,Li, Hongbo. Quantum Fully Homomorphic Encryption by Integrating Pauli One-time Pad with Quaternions[J]. QUANTUM,2022,6:45. |
| APA | Ma, Guangsheng,&Li, Hongbo.(2022).Quantum Fully Homomorphic Encryption by Integrating Pauli One-time Pad with Quaternions.QUANTUM,6,45. |
| MLA | Ma, Guangsheng,et al."Quantum Fully Homomorphic Encryption by Integrating Pauli One-time Pad with Quaternions".QUANTUM 6(2022):45. |
入库方式： OAI收割
来源：数学与系统科学研究院
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