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The problems of genuine multipartite entanglement detection and classification are challenging. We show that a multipartite quantum state is genuine multipartite entangled if the multipartite concurrence is larger than certain quantities…

量子物理 · 物理学 2015-12-31 Ming Li , Shao-Ming Fei , Xianqing Li-Jost , Heng Fan

To quantify the entanglement of bipartite systems in terms of some entanglement measure is a challenging problem in general, and it is much worse when the information about the system is less. In this manuscript, based on two classes of…

量子物理 · 物理学 2024-01-01 Xian Shi

While the detection of entanglement has been proved already to be quite a difficult task, experimental quantification of entanglement is even more challenging. In this work, we derive an analytical lower bound for the concurrence of a…

量子物理 · 物理学 2011-04-07 Zhi-Hao Ma , Zhi-Hua Chen , Jing-Ling Chen

In this paper, we investigate a genuine multipartite entanglement measure based on the geometric method. This measure arrives at the maximal value for the absolutely maximally entangled states and has desirable properties for quantifying…

量子物理 · 物理学 2022-06-07 Xian Shi

Amount of entanglement carried by a quantum bipartite state is usually evaluated in terms of concurrence (see Ref. 1). We give a physical interpretation of concurrence that reveals a way of its direct measurement and discuss possible…

量子物理 · 物理学 2016-08-16 Alexander Klyachko , Barış Öztop , Alexander S. Shumovsky

We introduce a method to lower bound an entropy-based measure of genuine multipartite entanglement via nonlinear entanglement witnesses. We show that some of these bounds are tight and explicitly work out their connection to a framework of…

量子物理 · 物理学 2012-08-21 Jun-Yi Wu , Hermann Kampermann , Dagmar Bruß , Claude Klöckl , Marcus Huber

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…

量子物理 · 物理学 2015-06-05 Xue-Na Zhu , Ming Li , Shao-Ming Fei

We study the entanglement of a multipartite quantum state. An inequality between the bipartite concurrence and the multipartite concurrence is obtained. More effective lower and upper bounds of the multipartite concurrence are obtained. By…

量子物理 · 物理学 2015-05-19 Ming Li , Shao-Ming Fei , Zhi-Xi Wang

We present an analytical lower bound of multipartite concurrence based on the generalized Bloch representations of density matrices. It is shown that the lower bound can be used as an effective entanglement witness of genuine multipartite…

量子物理 · 物理学 2016-08-05 Jing Wang , Ming Li , Hongfang Li , Shao-Ming Fei , Xianqing Li-Jost

Squashed entanglement is a promising entanglement measure that can be generalized to multipartite case, and it has all of the desirable properties for a good entanglement measure. In this paper we present computable lower bounds to evaluate…

量子物理 · 物理学 2009-08-04 Wei Song

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…

量子物理 · 物理学 2012-09-26 Zhi-Hua Chen , Zhi-Hao Ma , Jing-Ling Chen , Simone Severini

We present observable lower bounds for several bipartite entanglement measures including entanglement of formation, geometric measure of entanglement, concurrence, convex-roof extended negativity, and G-concurrence. The lower bounds…

量子物理 · 物理学 2016-10-20 Chengjie Zhang , Sixia Yu , Qing Chen , Haidong Yuan , C. H. Oh

Quantum entanglement plays a pivotal role in quantum information processing. Quantifying quantum entanglement is a challenging and essential research area within the field. This manuscript explores the relationships between bipartite…

量子物理 · 物理学 2025-04-22 Ming Li , Yaru Dong , Ruiqi Zhang , Xuena Zhu , Shuqian Shen , Lei Li , Shao-Ming Fei

We develop an original approach for the quantitative characterisation of the entanglement properties of, possibly mixed, bi- and multipartite quantum states of arbitrary finite dimension. Particular emphasis is given to the derivation of…

量子物理 · 物理学 2009-11-11 Florian Mintert , Andre R. R. Carvalho , Marek Kus , Andreas Buchleitner

It is a computationally hard task to certify genuine multipartite entanglement (GME). We investigate the relation between the norms of the correlation vectors and the detection of GME for tripartite quantum systems. A sufficient condition…

量子物理 · 物理学 2017-11-15 Ming Li , Lingxia Jia , Jing Wang , Shuqian Shen , Shao-Ming Fei

Multipartite entanglement is the premier resource for quantum technologies. Yet, its exact quantification in the laboratory is notoriously challenging, typically requiring the full knowledge of high dimensional quantum states. Here, we…

量子物理 · 物理学 2026-05-05 Francois Payn , Davide Girolami

In this work we propose the geometric mean of bipartite concurrences as a genuine multipartite entanglement measure. This measure achieves the maximum value for absolutely maximally entangled states and has desirable properties for…

量子物理 · 物理学 2022-04-22 Yinfei Li , Jiangwei Shang

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…

量子物理 · 物理学 2025-03-28 Hao-Fan Wang , Shao-Ming Fei

The quantitative assessment of the entanglement in multipartite quantum states is, apart from its fundamental importance, a practical problem. Recently there has been significant progress in developing new methods to determine certain…

量子物理 · 物理学 2014-03-17 Christopher Eltschka , Jens Siewert

Quantifying genuine entanglement is a crucial task in quantum information theory.In this work, we give an approach of constituting genuine $m$-partite entanglement measures from any bipartite entanglement and any $k$-partite entanglement…

量子物理 · 物理学 2022-04-05 Yu Guo , Yanping Jia , Xinping Li , Lizhong Huang
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