Continuous variable graph states: entanglement and graph properties
Quantum Physics
2021-12-14 v1
Abstract
We propose the definition of the geometric measure of entanglement for continuous variable states. On the basis of this definition we examine entanglement of the graph states obtained as a result of action of a unitary operator on the ground state of a system of noninteracting harmonic oscillators. We find that the entanglement of a harmonic oscillator with other ones is defined by the value of its vertex degree.
Cite
@article{arxiv.2112.06059,
title = {Continuous variable graph states: entanglement and graph properties},
author = {Kh. P. Gnatenko and V. M. Tkachuk and M. Krasnytska and Yu. Holovatch},
journal= {arXiv preprint arXiv:2112.06059},
year = {2021}
}