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Controlled remote implementation of quantum operations with high-dimensional systems
Authors:Zhan You-Bang a    Li Xiao-Wei a    Ma Peng-Cheng a     Shi Jin
Affiliation:b) a) School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huaian 223300, China b) National Laboratory of Solid State Microstructures, Department of Physics, Nanjing University, Nanjing 210093, China
Abstract:We present two protocols for the controlled remote implementation of quantum operations between three-party high-dimensional systems. Firstly, the controlled teleportation of an arbitrary unitary operation by bidirectional quantum state teleportaion (BQST) with high-dimensional systems is considered. Then, instead of using the BQST method, a protocol for controlled remote implementation of partially unknown operations belonging to some restricted sets in high-dimensional systems is proposed. It is shown that, in these protocols, if and only if the controller would like to help the sender with the remote operations, the controlled remote implementation of quantum operations for high-dimensional systems can be completed.
Keywords:controlled remote implementation  quantum operation  teleportation  high-dimensional entangled state
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