Geometric measure of entanglement of graph states of spin system with Heisenberg interaction and its quantifying on IBM's quantum computer

In this paper, we analyzed the quantum states generated by the evolution operator with the Heisenberg Hamiltonian.The analytical expression for the geometric measure of entanglement of a spin with other spins for the graph states that are represented by binary tree graphs and cycle graphs is obtained.Geometric entanglement is quantified using an IBM Q Quito quantum computer.The results obtained on quantum computer are in good argument with theoretical ones.