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Entanglement is one of important resources for quantum communication tasks. Most of results are focused on qubit entanglement. Our goal in this work is to characterize the multipartite high-dimensional entanglement. We firstly derive an…

量子物理 · 物理学 2022-06-15 Xue Yang , Yan-Han Yang , Ming-Xing Luo

We prove a set of tight entanglement inequalities for arbitrary $N$-qubit pure states. By focusing on all bi-partite marginal entanglements between each single qubit and its remaining partners, we show that the inequalities provide an upper…

量子物理 · 物理学 2018-06-25 Xiao-Feng Qian , Miguel A. Alonso , Joseph H. Eberly

Entanglement concurrence has been widely used for featuring entanglement in quantum experiments. As an entanglement monotone it is related to specific quantum Tsallis entropy. Our goal in this paper is to propose a new parameterized…

量子物理 · 物理学 2021-05-26 Xue Yang , Ming-Xing Luo , Yan-Han Yang , Shao-Ming Fei

In the present paper, a trade off of sharing of entanglement between subsystems of a higher dimensional quantum state is derived. It is presented in terms of an inequality which is analogous to the Coffman-Kundu-Wootters inequality that…

量子物理 · 物理学 2025-10-03 Sumit Nandi

Given a multipartite quantum system that consists of two-level particles (qubits), one may or may not have access to all the subsystems. What can we know about the entanglement of the multiqubit system and residual correlations beyond…

量子物理 · 物理学 2021-11-16 S. Shelly Sharma , Naresh K. Sharma

Monogamy of entanglement essentially characterizes the entanglement distributions among the subsystems. Generally it is given by summation-form monogamy inequalities. In this paper, we present the product-form monogamy inequalities…

量子物理 · 物理学 2025-12-09 Wen Zhou , Zhong-Xi Shen , Hong-Xing Wu , Zhi-Xi Wang , Shao-Ming Fei

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

Multipartite entanglement holds great importance in quantum information processing. The distribution of entanglement among subsystems can be characterized by monogamy relations. Based on the $\beta$th power of concurrence and negativity, we…

量子物理 · 物理学 2023-12-19 Jia-Yi Li , Zhong-Xi Shen , Shao-Ming Fei

We show that bipartite entanglement distribution (or entanglement of assistance) in multipartite quantum systems is by nature polygamous. We first provide an analytic upper bound for the concurrence of assistance in bipartite quantum…

量子物理 · 物理学 2009-08-06 Jeong San Kim

We propose two classes of the generalized concurrence vectors of the multipartite systems consisting of qubits. Making use of them, we are able to, respectively, describe and quantify GHZ-class and W-class entanglement both in total and…

量子物理 · 物理学 2007-05-23 An Min Wang

We investigate the monogamy relations related to the concurrence and the entanglement of formation. General monogamy inequalities given by the {\alpha}th power of concurrence and entanglement of formation are presented for N-qubit states.…

量子物理 · 物理学 2014-09-04 Xuena Zhu , Shaoming Fei

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

Using R\'enyi-$\alpha$ entropy to quantify bipartite entanglement, we prove monogamy of entanglement in multi-qubit systems for $\alpha \geq 2$. We also conjecture a polygamy inequality of multi-qubit entanglement with strong numerical…

量子物理 · 物理学 2010-10-22 Jeong San Kim , Barry C. Sanders

We argue that a complete characterisation of quantum correlations in bipartite systems of many dimensions may require a quantity which, even for pure states, does not reduce to a single number. Subsequently, we introduce multi-dimensional…

量子物理 · 物理学 2009-11-07 Piotr Badziag , Piotr Deuar , Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

Quantum coherence and entanglement orignate from the superposition principle. We derive a rigorous relation between the ${l_1}$-norm of coherence and concurrence, in that we show that the former is always greater than the latter. This…

量子物理 · 物理学 2022-05-24 Pranav Kairon , Mukhtiyar Singh , Satyabrata Adhikari

We investigate the polygamy relations related to the concurrence of assistance for any multipartite pure states. General polygamy inequalities given by the $\alpha$th $(0\leq \alpha\leq 2)$ power of concurrence of assistance is first…

量子物理 · 物理学 2020-10-13 Zhi-Xiang Jin , Shao-Ming Fei

In a recent paper, Rungta et. al. [Phys. Rev. A, 64, 042315, 2001] introduced a measure of mixed-state entanglement called the I-concurrence for arbitrary pairs of qudits. We find an exact formula for an entanglement measure closely related…

量子物理 · 物理学 2009-11-07 Tobias J. Osborne

In this paper, we study the monogamy inequality of Tsallis-q entropy entanglement. We first provide an analytic formula of Tsallis-q entropy entanglement in two-qubit systems for $\frac{5-\sqrt{13}}{2}\leq q\leq\frac{5+\sqrt{13}}{2}.$ The…

量子物理 · 物理学 2018-08-02 Yu Luo , Tian Tian , Lian-He Shao , Yongming Li

We consider multipartite states of qubits and prove that their bipartite quantum entanglement, as quantified by the concurrence, satisfies a monogamy inequality conjectured by Coffman, Kundu, and Wootters. We relate this monogamy inequality…

量子物理 · 物理学 2007-05-23 Tobias J. Osborne , Frank Verstraete

We discuss entanglement of multiparticle quantum systems. We propose a potential measure of a type of entanglement of pure states of n qubits, the n-tangle. For a system of two qubits the n-tangle is equal to the square of the concurrence,…

量子物理 · 物理学 2009-11-06 Alexander Wong , Nelson Christensen