An engineering proposal of the atomic cluster state and its dynamics: a resource channel for secure quantum networks

We propose a feasible scheme to engineer the cluster state based on the internal energy levels of the two-level neutral atoms. The procedure utilizes the resonant interaction of three two-level atoms with a single photon Fock-field cavity. The first and second atoms are used to generate the atom-field entanglement, while the third atom is used as an auxiliary atom to coherently erase the cavity’s quantum information. Finally, such an auxiliary atom is passed through the Ramsey field and is detected in either of its ground or excited state by the state selective detector. Moreover, the dynamical features such as purity, linear entropy and fidelity of the engineered cluster state have also been simulated while keeping in view its applicative relevance to secure quantum local and non-local networks. The experimental feasibility of our proposed state has also been elucidated under contemporary experimental conditions. This work is carried out under fully controllable cavity QED scenario.