Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0611158 · Physical Review A

Lower bounds of concurrence for tripartite quantum systems

Xiu-Hong Gao, Shao-Ming Fei, Ke Wu

Published Nov 13, 2006• 51 citations
arXivHTMLPDF

Abstract

We derive an analytical lower bound for the concurrence of tripartite quantum mixed states. A functional relation is established relating concurrence and the generalized partial transpositions.
DOI
10.1103/physreva.74.050303

Related papers

Estimation of concurrence for multipartite mixed states

Xiaoting Gao, S.-M. Fei

We investigate the lower bound of concurrence for multipartite quantum mixed states. Analytical lower bounds are derived for some multipartite systems, by establishing functional relations between concurrence and the generalized partial transpositions.

The European Physical Journal Special Topics•May 20, 2008•45 citations

Lower bounds of concurrence for multipartite states

Xue-Na Zhu, Ming Li, Shao-Ming Fei

We study the entanglement of multipartite quantum states. Some lower bounds of the multipartite concurrence are reviewed. We further present more effective lower bounds for detecting and qualifying entanglement, by establishing functional relations between the concurrence and the generalized partial transpositions of the multipartite systems.

arXiv:1205.0954•AIP conference proceedings•Jan 1, 2012•7 citations

Lower bound of multipartite concurrence based on subquantum state decomposition

Xue‐Na Zhu, Ming‐Jing Zhao, Shao-Ming Fei

We study the entanglement of tripartite quantum states and provide analytical lower bounds of concurrence in terms of the concurrence of substates. The lower bound may improve all of the existing lower bounds of concurrence. The approach is generalized to arbitrary dimensional multipartite systems.

arXiv:1208.1745•Physical Review A•Aug 7, 2012•12 citations

A lower bound of concurrence for multipartite quantum states

Ming Li, Shao-Ming Fei, Zhi‐Xi Wang

We study the concurrence of arbitrary multipartite mixed quantum states. An explicit lower bound of the concurrence is derived, which detects quantum entanglement of some states better than some separability criteria, and gives sufficient conditions for distilling GHZ states from tripartite states. An interesting relation between the lower bound of the concurrence for bipartite states and for tripartite states has been presented.

arXiv:0903.3145•Journal of Physics A Mathematical and Theoretical•Mar 17, 2009•59 citations

Lower bound of concurrence based on positive maps

Xiaosheng Li, Xiu-Hong Gao, Shao-Ming Fei

We study the concurrence of arbitrary dimensional bipartite quantum systems. An explicit analytical lower bound of concurrence is obtained which detects entanglement for some quantum states better than some well-known separability criteria and improves the lower bounds, such as from the positive partial transposition, realignment criteria, and Breuer's entanglement witness.

arXiv:1104.1000•Physical Review A•Mar 25, 2011•17 citations

Entanglement of formation and concurrence for mixed states

Xiu-Hong Gao, Sergio A Albeverio, Kai Chen +2 more

We review some results on analytical computations of the measures for quantum entanglement: entanglement of formation and concurrence. We introduce some estimations of the lower bounds for the entanglement of formation in bipartite mixed states, and of lower bounds for the concurrence in bipartite and tripartite systems. The results on lower bounds for the concurrence are also generalized to arbitrary multipartite systems.

Frontiers of Computer Science in China•Jun 1, 2008•27 citations