Four-party deterministic quantum operation sharing with a generalized seven-qubit Brown state

A four-party deterministic single-qubit operation sharing scheme is proposed by using a generalized seven-qubit Brown state in a given qubit distribution as the quantum channel. Its security is confirmed via analyses. The sharing determinacy and the sharer symmetry of the scheme are identified. The experimental feasibility of the scheme is confirmed through discussions. Moreover, the scheme is compared with a competing one which utilizes the same quantum channel. It is found that the present scheme reduces the necessary operations and two-qubit unitary operation types as well as the classical communication cost. The decreases of both the necessary operation complexity and the classical communication cost eventually mean both the increase of the scheme efficiency and the decrease of the resource consumption. Consequently, the present scheme is superior to the competing one.