Quantum double-direction cyclic controlled communication via a thirteen-qubit entangled state

Combining with the idea of quantum multi-cast, in this paper, a novel theoretical scheme is presented to fulfil four-party quantum double-direction cyclic controlled communication by using a thirteen-qubit entangled state as the quantum channel. In the proposed scheme, each observer can transmit two different single-qubit states to the other two observers under the supervision of the controller, respectively and synchronously, which realizes quantum cyclic controlled communication in clockwise and anticlockwise directions simultaneously. The quantum channel is structured by Hadamard (H) gates and controlled-NOT (CNOT) gates. Based on the quantum channel that we construct, we exhibit how the four-party double-direction cyclic controlled communication scheme works in a minute detail. Only specific two-qubit projective measurements, single-qubit von Neumann measurement and suitable unitary operations are needed in the proposed four-party scheme, which can be implemented in physics easily. Furthermore, the presented four-party double-direction controlled communication scheme can be generalized into the situation with \(n>3\) observers through preparing a \((4n+1)\)-qubit entangled channel. Analysis demonstrates that the success probability of the proposed scheme can reach \(100\mathrm{{\% }}\). We also calculate the intrinsic efficiency and investigate the security of the proposed scheme.