Realization of nondestructive multi-atom cluster state analyzer via the cavity input–output process

We propose a deterministic scheme to realize four-atom and five-atom cluster state analyzers based on the cavity input–output process. In the scheme, we construct a multi-qubit parity analyzer and two cluster state phase analyzers and show that all the orthogonal multi-atom cluster states can be completely identified in a nondestructive way by combining these two kinds of analyzers. The fidelities of analyzers are also calculated, which show that our scheme has a high performance in the intermediate coupling region. Furthermore, the scheme opens promising perspectives for large-scale Bell-state-measurement-based and cluster-state-measurement-based quantum communication and quantum information processing networks.