Entanglement of graph states of spin system with Ising interaction and its quantifying on IBM's quantum computer

We consider graph states generated by operator of evolution with Ising Hamiltonian. The geometric measure of entanglement of a spin with other spins in the graph state is obtained analytically and quantified on IBM's quantum computer, IBM Q Valencia. The results of quantum calculations are in good agreement with the theoretical ones. We conclude that the geometric measure of entanglement of a spin with other spins in the graph state is related with degree of vertex representing the spin in the corresponding graph. (C) 2021 Elsevier B.V. All rights reserved.

Automated summary

Graph states generated by Ising Hamiltonian operators were studied to analyze the geometric measure of entanglement between a spin and other spins in the graph state. Using IBM Q Valencia, the quantum computations were in good agreement with theoretical results, indicating a relationship between the geometric measure of entanglement and the degree of the corresponding spin vertex in the graph.