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:1001.4756 · Communications in Theoretical Physics

On Estimation of Fully Entangled Fraction

Ruijuan Gu, Ming Li, Shao-Ming Fei, Li-jost Xian-Qing

Published Feb 1, 2010• 13 citations
arXivHTMLPDF

Abstract

We study the fully entangled fraction (FEF) of arbitrary mixed states. New upper bounds of FEF are derived. These upper bounds make complements on the estimation of the value of FEF. For weakly mixed quantum states, an upper bound is shown to be very tight to the exact value of FEF.
DOI
10.1088/0253-6102/53/2/12

Related papers

An Upper Bound of Fully Entangled Fraction of Mixed States*

Xiaofen Huang, Naihuan Jing, Tinggui Zhang

Abstract We study the fully entangled fraction of a quantum state. An upper bound is obtained for arbitrary bipartite system. This upper bound only depends on the Frobenius norm of the state.

arXiv:1605.08641•Communications in Theoretical Physics•Jun 1, 2016•12 citations

Upper bound of the fully entangled fraction

Ming Li, Shao-Ming Fei, Zhi‐Xi Wang

We study the fully entangled fraction of quantum states. An upper bound is obtained for arbitrary dimensional bipartite systems. This bound is shown to be exact for the case of two-qubit systems. An inequality related the fully entangled fraction of two qubits in a three-qubit mixed state has been also presented.

arXiv:0810.0869•Physical Review A•Sep 26, 2008•22 citations

On fully entangled fraction of arbitrary $d\otimes d$ quantum states

Xue-Na Zhu, Gui Bao, Ming Li +2 more

We study the fully entangled fraction of quantum states based on the Bloch representation of density matrices. Analytical upper bounds on the fully entangled fraction are obtained for arbitrary $d\otimes d$ bipartite systems. The fully entangled fractions for classes of $d\otimes d$ quantum states are analytically derived. Detailed examples are given to illustrate the advantages of our results.

quant-pharXiv:2602.21471•Physics Letters A•Feb 26, 2026•0 citations

An Upper Bound of Fully Entangled Fraction of Mixed States

黄晓芬, Naihuan Jing, 张廷桂

We study the fully entangled fraction of a quantum state. An upper bound is obtained for arbitrary bipartite system. This upper bound only depends on the Frobenius norm of the state.

理论物理通讯：英文版•Jan 1, 2016•0 citations

On Estimation of Fully Entangled Fraction

谷瑞娟, Li Zhi ming, 费少明 +1 more

我们学习任意的混合状态的充分纠缠的部分(FEF ) 。FEF 的新上面的界限被导出。这些上面的界限在 FEF 的价值的评价上做补充。为微弱地混合的量状态，上面的界限被显示对 FEF 的准确价值很紧张。

理论物理通讯：英文版•Jan 1, 2010•0 citations

Concurrence, Tangle and Fully Entangled Fraction of Quantum Entanglement

Ming Li, Shao-Ming Fei, Xianqing Li‐Jost +1 more

We show that although we can not distill a singlet from many pairs of bound entangled states, the concurrence and tangle of two entangled quantum states are always strictly larger than that of one, even both entangled quantum states are bound entangled. We present a relation between the concurrence and the fidelity of optimal teleportation. We also give new upper and lower bounds for concurrence and tangle.

•Aug 17, 2009•0 citations
On fully entangled fraction of arbitrary d⊗dd\otimes dd⊗d quantum states
We study the fully entangled fraction of quantum states based on the Bloch representation of density matrices. Analytical upper bounds on the fully entangled fraction are obtained for arbitrary d⊗dd\otimes dd⊗d bipartite systems. The fully entangled fractions for classes of d⊗dd\otimes dd⊗d quantum states are analytically derived. Detailed examples are given to illustrate the advantages of our results.