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Quantum Information Processing

Many-party controlled remote implementations of multiple partially unknown quantum operations

Peng Jia-yin, Liang Bao Tang, Zhen Yang, Lei Hong-xuan, Ming-Qiang Bai

Published Dec 2, 2022• 14 citations
Publisher
DOI
10.1007/s11128-022-03750-z

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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.