In this paper, we assess possibilities of generating cluster states with different topologies being possessed of a finite squeezing resource of the initial oscillators used to generate a cluster state. We obtained the condition on minimum squeezing required for generating a cluster with a given topology as a simple estimation in terms of the coefficients of the adjacency matrix
@article{arxiv.1811.05241,
title = {Criteria of minimum squeezing for quantum cluster state generation},
author = {S. B. Korolev and A. D. Manukhova and K. S. Tikhonov and T. Yu. Golubeva and Yu. M. Golubev},
journal= {arXiv preprint arXiv:1811.05241},
year = {2019}
}