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:2503.21177 · Physical Review A

Symmetric measurement-induced lower bounds of concurrence

Hao‐Fan Wang, Shao-Ming Fei

Published Mar 26, 2025• 7 citations
arXivHTMLPDF

Abstract

We provide a class of lower bounds for concurrence based on symmetric measurements. We show that our lower bounds estimate the quantum entanglement better than some existing lower bounds by detailed examples. Moreover, our lower bounds can be experimentally identified without state tomography.
DOI
10.1103/physreva.111.032432

Related papers

Estimating the concurrence for quantum states via symmetric measurements

Hao-Fan Wang, Wen Zhou, Lin Chen +1 more

Concurrence is one of the most well-known entanglement measures. We show that, for arbitrary bipartite states, the lower bound of concurrence induced by symmetric measurements is always tighter than the one obtain from realignment. Besides, we derive an extended version of lower bound of concurrence induced by symmetric measurements, which can also be experimentally identified without state tomography, and further present a corresponding lower bound of genuine tripartite entanglement concurrence.

quant-pharXiv:2606.31010•Jul 1, 2026•0 citations

Quantum entanglement estimation via symmetric-measurement-based positive maps

Jiaxin Li, Hongmei Yao, Shao-Ming Fei +2 more

We provide a class of positive and trace-preserving maps based on symmetric measurements. From these positive maps we present separability criteria, entanglement witnesses, and the lower bounds of concurrence. We show by detailed examples that our separability criteria, entanglement witnesses, and lower bounds can detect and estimate the quantum entanglement better than existing related results.

arXiv:2405.11741•Physical Review A•May 15, 2024•11 citations

A note on lower bounds of concurrence for arbitrary dimensional bipartite quantum states

Zhi-Bo Chen, Shao-Ming Fei

Abstract Quantification of quantum entanglement plays a crucial role in the study of quantum information tasks. We present analytical lower bounds for both concurrence and 2-concurrence based on the correlation matrices of bipartite quantum states. Compared with other related lower bounds, our approach provides a better estimation of the entanglement, particularly for states with large purity.

arXiv:2503.16291•Laser Physics•Mar 18, 2025•1 citation

Lower Bound of Concurrence Based on Generalized Positive Maps

秦慧慧, 费少明

We study the concurrence of arbitrary dimensional bipartite quantum systems. By using a positive but not completely positive map, we present an analytical lower bound of concurrence. Detailed examples are used to show that our bound can detect entanglement better and can improve the well known existing lower bounds.

Communications in Theoretical Physics•Jan 1, 2013•0 citations

Lower Bound of Concurrence Based on Generalized Positive Maps

Huihui Qin, Shao-Ming Fei

We study the concurrence of arbitrary dimensional bipartite quantum systems. By using a positive but not completely positive map, we present an analytical lower bound of concurrence. Detailed examples are used to show that our bound can detect entanglement better and can improve the well known existing lower bounds.

arXiv:1401.1624•Communications in Theoretical Physics•Dec 1, 2013•2 citations

Measurable lower bounds on concurrence

Iman Sargolzahi, Sayyed Yahya Mirafzali, Mohsen Sarbishaei

We derive measurable lower bounds on concurrence of arbitrary mixed states, for both bipartite and multipartite cases. First, we construct measurable lower bonds on the \textit{purely algebraic} bounds of concurrence [F. Mintert \textit{et al.} (2004), Phys. Rev. lett., 92, 167902]. Then, using the fact that the sum of the square of the algebraic bounds is a lower bound of the squared concurrence, we sum over our measurable bounds to achieve a measurable lower bound on concurrence. With two typical examples, we show that our method can detect more entangled states and also can give sharper lower bonds than the similar ones.

Quantum Information and Computation•Jan 1, 2011•1 citation
Concurrence is one of the most well-known entanglement measures. We show that, for arbitrary bipartite states, the lower bound of concurrence induced by symmetric measurements is always tighter than the one obtain from realignment. Besides, we derive an extended version of lower bound of concurrence induced by symmetric measurements, which can also be experimentally identified without state tomography, and further present a corresponding lower bound of genuine tripartite entanglement concurrence.
We derive measurable lower bounds on concurrence of arbitrary mixed states, for both bipartite and multipartite cases. First, we construct measurable lower bonds on the \textit{purely algebraic} bounds of concurrence [F. Mintert \textit{et al.} (2004), Phys. Rev. lett., 92, 167902]. Then, using the fact that the sum of the square of the algebraic bounds is a lower bound of the squared concurrence, we sum over our measurable bounds to achieve a measurable lower bound on concurrence. With two typical examples, we show that our method can detect more entangled states and also can give sharper lower bonds than the similar ones.