Abstract
Fusing the ideas of remote implementation of quantum operation and bidirectional controlled teleportation, we propose a protocol of cyclic controlled remote implementation for three partially unknown quantum operation using seven-qubit cluster state as the quantum channel. Suppose there are three observers Alice, Bob and Charlie, each of them has been given a partially unknown quantum operation. We show that how to realize the cyclic controlled remote implementation of quantum operations where under control of the controller David, Alice can remotely apply her operation on Bob’s qubit, and Bob can remotely apply his operation on Charlie’s qubit, at the same time Charlie can also remotely apply his operation on Alice’s qubit. It is shown that only the senders Alice, Bob, Charlie and the controller David collaborate with each other, the cyclic controlled remote implementation of partially unknown quantum operations can be realized successfully without bidirectional teleportation. So our protocol is safer, resource-efficient and potentially applicable.
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