Homological analysis of multi-qubit entanglement
Quantum Physics
2018-09-26 v3 Computational Geometry
Abstract
We propose the usage of persistent homologies to characterize multipartite entanglement. On a multi-qubit data set we introduce metric-like measures defined only in terms of bipartite entanglement and then we derive barcodes. We show that they are able to provide a good classification of entangled states, at least for a small number of qubit.
Keywords
Cite
@article{arxiv.1802.04572,
title = {Homological analysis of multi-qubit entanglement},
author = {Alessandra Di Pierro and Stefano Mancini and Laleh Memarzadeh and Riccardo Mengoni},
journal= {arXiv preprint arXiv:1802.04572},
year = {2018}
}