Detection of genuine multipartite entanglement in arbitrary multipartite systems

We study the genuine multipartite entanglement of arbitrary n-partite quantum states by representing the density matrices in terms of the generalized Pauli operators. We introduce a general framework for detecting genuine multipartite entanglement and non full-separability of multipartite quantum st...

Full description

Bibliographic Details
Main Authors: Yu Lu, Shao-Ming Fei
Format: Article
Language:English
Published: Elsevier 2023-09-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379723006095
_version_ 1797682906943979520
author Yu Lu
Shao-Ming Fei
author_facet Yu Lu
Shao-Ming Fei
author_sort Yu Lu
collection DOAJ
description We study the genuine multipartite entanglement of arbitrary n-partite quantum states by representing the density matrices in terms of the generalized Pauli operators. We introduce a general framework for detecting genuine multipartite entanglement and non full-separability of multipartite quantum states with arbitrary dimensions based on correlation tensors. Effective criterion is derived to verify the genuine multipartite entanglement. Detailed examples are given to show that the criterion detects more genuine multipartite entanglement than the existing criteria.
first_indexed 2024-03-12T00:06:42Z
format Article
id doaj.art-f4c2444e498a43a68ce258759ffd8d04
institution Directory Open Access Journal
issn 2211-3797
language English
last_indexed 2024-03-12T00:06:42Z
publishDate 2023-09-01
publisher Elsevier
record_format Article
series Results in Physics
spelling doaj.art-f4c2444e498a43a68ce258759ffd8d042023-09-17T04:56:20ZengElsevierResults in Physics2211-37972023-09-0152106816Detection of genuine multipartite entanglement in arbitrary multipartite systemsYu Lu0Shao-Ming Fei1Corresponding author.; School of Mathematical Sciences, Capital Normal University, 100048 Beijing, ChinaSchool of Mathematical Sciences, Capital Normal University, 100048 Beijing, ChinaWe study the genuine multipartite entanglement of arbitrary n-partite quantum states by representing the density matrices in terms of the generalized Pauli operators. We introduce a general framework for detecting genuine multipartite entanglement and non full-separability of multipartite quantum states with arbitrary dimensions based on correlation tensors. Effective criterion is derived to verify the genuine multipartite entanglement. Detailed examples are given to show that the criterion detects more genuine multipartite entanglement than the existing criteria.http://www.sciencedirect.com/science/article/pii/S2211379723006095Genuine entanglementCorrelation tensorGeneralized Pauli operators
spellingShingle Yu Lu
Shao-Ming Fei
Detection of genuine multipartite entanglement in arbitrary multipartite systems
Results in Physics
Genuine entanglement
Correlation tensor
Generalized Pauli operators
title Detection of genuine multipartite entanglement in arbitrary multipartite systems
title_full Detection of genuine multipartite entanglement in arbitrary multipartite systems
title_fullStr Detection of genuine multipartite entanglement in arbitrary multipartite systems
title_full_unstemmed Detection of genuine multipartite entanglement in arbitrary multipartite systems
title_short Detection of genuine multipartite entanglement in arbitrary multipartite systems
title_sort detection of genuine multipartite entanglement in arbitrary multipartite systems
topic Genuine entanglement
Correlation tensor
Generalized Pauli operators
url http://www.sciencedirect.com/science/article/pii/S2211379723006095
work_keys_str_mv AT yulu detectionofgenuinemultipartiteentanglementinarbitrarymultipartitesystems
AT shaomingfei detectionofgenuinemultipartiteentanglementinarbitrarymultipartitesystems