Fractional Quantum Network

The possibility of generating a multipartite entanglement fractionally via three different types of interactions to generate a three qubit network has been discussed. The idea has been illustrated by considering a Heisenberg model, where one of its terminal interacts locally with a control qubit via Dzyaloshinskii-Moriya, Dipolar or Rashba interactions. It has been shown that, the fractional order and the interactions strengths can be used to stabilize the amount of entanglement and its coherence between the three qubits. The sudden/ gradual behavior of the generated entanglement and its coherence have been displayed at small/large fractional order, respectively. It is shown that Rashba interaction displays the largest impact of generating a coherence entangled network between the three qubits. The small values of the fractional order has no ability to generate a long lived entanglement in the presences of Rashba interaction and large values of Heisenberg strength.