English

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

Quantum Physics 2021-04-27 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2012.05986,
  title  = {Entanglement of graph states of spin system with Ising interaction and its quantifying on IBM's quantum computer},
  author = {Kh. P. Gnatenko and V. M. Tkachuk},
  journal= {arXiv preprint arXiv:2012.05986},
  year   = {2021}
}