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The quantum entanglements are studied in terms of the invariants under local unitary transformations. A generalized formula of concurrence for $N$-dimensional quantum systems is presented. This generalized concurrence has potential…

量子物理 · 物理学 2009-11-07 Sergio Albeverio , Shao-Ming Fei

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.

量子物理 · 物理学 2007-05-23 Xiu-Hong Gao , Shao-Ming Fei , Ke Wu

In this paper, we study the concurrence of arbitrary dimensional tripartite quantum systems. An explicit operational lower bound of concurrence is obtained in terms of the concurrence of sub-states. A given example show that our lower bound…

量子物理 · 物理学 2017-10-31 Wei Chen , Shao-Ming Fei , Zhu-Jun Zheng

We study the concurrence of four-qubit quantum states and provide analytical lower bounds of concurrence in terms of the monogamy inequality of concurrence for qubit systems. It is shown that these lower bounds are able to improve the…

量子物理 · 物理学 2014-02-11 Xue-Na Zhu , Shao-Ming Fei

The entanglement quantified by negativity of pure bipartite superposed states is studied. We show that if the entanglement is quantified by the concurrence two pure states of high fidelity to one another still have nearly the same…

量子物理 · 物理学 2007-09-06 Yong-Cheng Ou , Heng Fan

Employing a recently proposed separability criterion we develop analytical lower bounds for the concurrence and for the entanglement of formation of bipartite quantum systems. The separability criterion is based on a nondecomposable…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer

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

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

We present observable upper bounds of squared concurrence, which are the dual inequalities of the observable lower bounds introduced in [F. Mintert and A. Buchleitner, Phys. Rev. Lett. 98, 140505 (2007)] and [L. Aolita, A. Buchleitner and…

量子物理 · 物理学 2009-11-13 Cheng-Jie Zhang , Yan-Xiao Gong , Yong-Sheng Zhang , Guang-Can Guo

By investigating the convex property of the function R, appeared in computing the entanglement of formation for isotropic states in Phys. Rev. Lett. 85, 2625 (2000), and a tight lower bound of entanglement of formation for arbitrary…

量子物理 · 物理学 2009-11-13 Shao-Ming Fei , Xianqing Li-Jost

The concurrence, a quantitative measure of the entanglement between a pair of particles, is determined for the case where the pair is extracted from a symmetric state of N two-level systems. Examples are given for both pure and mixed states…

量子物理 · 物理学 2009-11-07 Xiaoguang Wang , Klaus Molmer

We study the dynamics of two kinds of entanglement, and there interplay. On one hand, the intrinsic entanglement within a central system composed by three two level atoms, and measured by multipartite concurrence, on the other, the…

量子物理 · 物理学 2015-05-29 J. G. Amaro , C. Pineda

In this paper we present the novel qualities of entanglement of formation for general (so also infinite dimensional) quantum systems. A major benefit of our presentation is a rigorous description of entanglement of formation. In particular,…

量子物理 · 物理学 2016-09-08 Adam W. Majewski

We investigate the entanglement of assistance which quantifies capabilities of producing pure bipartite entangled states from a pure tripartite state. The lower bound and upper bound of entanglement of assistance are obtained. In the light…

量子物理 · 物理学 2015-05-13 Zong-Guo Li , Shao-Ming Fei , Sergio Albeverio , W. M. Liu

We explore the structure of multipartite quantum systems which are entangled in multiple degrees of freedom. We find necessary and sufficient conditions for the characterization of tripartite systems and necessary conditions for any number…

量子物理 · 物理学 2013-01-16 Marcus Huber , Julio I. de Vicente

Covariance matrices are a useful tool to investigate correlations and entanglement in quantum systems. They are widely used in continuous variable systems, but recently also for finite dimensional systems powerful entanglement criteria in…

量子物理 · 物理学 2010-04-22 Oleg Gittsovich , Otfried Gühne

A contemporary technological milestone is to build a quantum device performing a computational task beyond the capability of any classical computer, an achievement known as quantum adversarial advantage. In what ways can the entanglement…

量子物理 · 物理学 2020-02-05 Jacob D. Biamonte , Mauro E. S. Morales , Dax Enshan Koh

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations related to the concurrence $C$ and the entanglement of formation $E$. We present new entanglement monogamy…

量子物理 · 物理学 2017-02-21 Zhi-Xiang Jin , Shao-Ming Fei

We prove exactly that the squared entanglement of formation, which quantifies the bipartite entanglement, obeys a general monogamy inequality in an arbitrary multiqubit mixed state. Based on this kind of exotic monogamy relation, we are…

量子物理 · 物理学 2014-09-10 Yan-Kui Bai , Yuan-Fei Xu , Z. D. Wang

We study the dynamics of two lower bounds of concurrence in bipartite quantum systems when one party goes through an arbitrary channel. We show that these lower bounds obey the factorization law similar to that of [Konrad et al., Nat. Phys.…