Efficient quantum arithmetic operation circuits for quantum image processing

作     者：Hai-Sheng Li Ping Fan Haiying Xia Huiling Peng Gui-Lu Long Hai-Sheng Li;Ping Fan;Haiying Xia;Huiling Peng;Gui-Lu Long

作者机构：College of Electronic EngineeringGuangxi Normal UniversityGuilin 541004China College of Information EngineeringEast China JiaoTong UniversityNanchang 330013China Department of PhysicsTsinghua UniversityBeijing 100084China Beijing Academy of Quantum Information SciencesBeijing 100193China Frontier Science Center for Quantum InformationBeijing 100084China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2020年第63卷第8期

页      面：33-45页

核心收录：

学科分类：07[理学] 08[工学] 080203[工学-机械设计及理论] 070201[理学-理论物理] 0802[工学-机械工程] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.61762012,and 61763014) the Science and Technology Project of Guangxi(Grant No.2018JJA170083) the National Key Research and Development Plan(Grant Nos.2018YFC1200200,and 2018YFC1200205) the Fund for Distinguished Young Scholars of Jiangxi Province(Grant No.2018ACB2101) the Natural Science Foundation of Jiangxi Province of China(Grant No.20192BAB207014) the Science and Technology Research Project of Jiangxi Provincial Education Department(Grant No.GJJ190297) 

主　　题：quantum arithmetic operation quantum fault tolerant circuit quantum computation quantum image processing 

摘      要：Efficient quantum circuits for arithmetic operations are vital for quantum algorithms.A fault-tolerant circuit is required for a robust quantum computing in the presence of *** circuits based on Clifford+T gates are easily rendered ***,reducing the T-depth and T-Count without increasing the qubit number represents vital optimization goals for quantum *** this study,we propose the fault-tolerant implementations for TR and Peres gates with optimized T-depth and ***,we design fault-tolerant circuits for quantum arithmetic operations using the TR and Peres ***,we implement cyclic and complete translations of quantum images using quantum arithmetic operations,and the scalar matrix *** analysis and simulation results reveal that the proposed arithmetic and image operations are *** instance,cyclic translations of a quantum image produce 50%T-depth reduction relative to the previous best-known cyclic translation.