Genuine-multipartite-entanglement (GME) concurrence is a measure of genuine multipartite entanglement that generalizes the well-known notion of concurrence. We define an observable for GME concurrence. The observable permits us to avoid full state tomography and leads to different analytic lower bounds. By means of explicit examples we show that entanglement criteria based on the bounds have a better performance with respect to the known methods.

arXiv:1205.3057Physical Review AJun 22, 201258 citations

Genuine Multipartite Entanglement Measure Based on $α$-concurrence

Keke Wang, Zhi-Wei Wei, Shao-Ming Fei

arXiv:2505.05998May 9, 20250 citations

The European Physical Journal Plus

Parameterized genuine multipartite entanglement measure based on $\alpha$ -concurrenceParameterized genuine multipartite entanglement measure based on $$\alpha$$-concurrence

Rui-Zhou Liang, Zhi‐Xiang Jin, Wei Chen, Yan-Ling Wang

Published Sep 19, 2025• 0 citations

Publisher

DOI: 10.1140/epjp/s13360-025-06839-3

Related papers

Genuine multipartite entanglement measure based on $\alpha$ -concurrenceGenuine multipartite entanglement measure based on $$\alpha $$-concurrence

Keke Wang, Zhi-Wei Wei, Shao-Ming Fei

The European Physical Journal PlusMay 9, 20252 citations

Genuine Entanglement Measure Based on the Parameterized Total Concurrence for N-Qubit Systems

Yinzhu Wang, Jiayu Gong, Runkang Liu +1 more

International Journal of Theoretical PhysicsJul 11, 20260 citations

A note on the lower bounds of genuine multipartite entanglement concurrence

Ming Li, Yaru Dong, Ruiqi Zhang +4 more

arXiv:2504.14234Quantum Information ProcessingDec 10, 20240 citations

Genuine multipartite entanglement measure based on G ω -concurrence

Wen-Hui Liu, Xinbo Liu, Zhi‐Xiang Jin

Abstract We introduce G ω -GME, a family of genuine multipartite entanglement measures defined via the geometric mean of a parameterized bipartite concurrence. We prove that G ω -GME satisfies all GME axioms, derive analytical expressions for GHZ and W states, and establish a strict entanglement hierarchy. Continuity under state perturbations is proven with explicit bounds. Compared with genuinely multipartite concurrence, GqC, and G α C, G ω -GME resolves finer entanglement structures and offers greater flexibility through its extended parameter range. These features make G ω -GME a powerful and practical tool for multipartite entanglement quantification and quantum network certification.Abstract We introduce G ω -GME, a family of genuine multipartite entanglement measures defined via the geometric mean of a parameterized bipartite concurrence. We prove that G ω -GME satisfies all GME axioms, derive analytical expressions for GHZ and W states, and establish a strict entanglement hierarchy. Continuity under state perturbations is proven with explicit bounds. Compared with genuinely multipartite concurrence, GqC, and G α C, G ω -GME resolves finer entanglement structures and offers greater flexibility through its extended parameter range. These features make G ω -GME a powerful and practical tool for multipartite entanglement quantification and quantum network certification.

Physica ScriptaOct 14, 20260 citations

Improved lower bounds on genuine-multipartite-entanglement concurrence

Zhihua Chen, Zhihao Ma, Jing‐Ling Chen +1 more

arXiv:1205.3057Physical Review AJun 22, 201258 citations

Genuine Multipartite Entanglement Measure Based on $α$ -concurrenceGenuine Multipartite Entanglement Measure Based on $α$-concurrence

Keke Wang, Zhi-Wei Wei, Shao-Ming Fei

Quantifying genuine entanglement is a crucial task in quantum information theory. Based on the geometric mean of bipartite $α$ -concurrences among all bipartitions, we present a class of well-defined genuine multipartite entanglement (GME) measures G $α$ C with one parameter $α$ for arbitrary multipartite states. We show that the G $α$ C is of continuity for any multipartite pure states. By utilizing the related symmetry, analytical results of G $α$ C are derived for any $n$ -qubit GHZ states and W states, which show that the GHZ states are more genuinely entangled than the W states. With explicit examples, we demonstrate that the G $α$ C can distinguish different GME states that other GME measures fail to. These results justify the potential applications of G $α$ C in characterizing genuine multipartite entanglements.Quantifying genuine entanglement is a crucial task in quantum information theory. Based on the geometric mean of bipartite $α$-concurrences among all bipartitions, we present a class of well-defined genuine multipartite entanglement (GME) measures G$α$C with one parameter $α$ for arbitrary multipartite states. We show that the G$α$C is of continuity for any multipartite pure states. By utilizing the related symmetry, analytical results of G$α$C are derived for any $n$-qubit GHZ states and W states, which show that the GHZ states are more genuinely entangled than the W states. With explicit examples, we demonstrate that the G$α$C can distinguish different GME states that other GME measures fail to. These results justify the potential applications of G$α$C in characterizing genuine multipartite entanglements.

arXiv:2505.05998May 9, 20250 citations

Parameterized genuine multipartite entanglement measure based on

\alpha

-concurrence

Genuine multipartite entanglement measure based on

\alpha

-concurrence

Genuine Multipartite Entanglement Measure Based on

α

-concurrence

Quantifying genuine entanglement is a crucial task in quantum information theory. Based on the geometric mean of bipartite

α

-concurrences among all bipartitions, we present a class of well-defined genuine multipartite entanglement (GME) measures G

α

C with one parameter

α

for arbitrary multipartite states. We show that the G

α

C is of continuity for any multipartite pure states. By utilizing the related symmetry, analytical results of G

α

C are derived for any

n

-qubit GHZ states and W states, which show that the GHZ states are more genuinely entangled than the W states. With explicit examples, we demonstrate that the G

α

C can distinguish different GME states that other GME measures fail to. These results justify the potential applications of G

α

C in characterizing genuine multipartite entanglements.