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We provide an initial characterization of pairwise concurrence in quantum states which are invariant under cyclic permutations of party labeling. We prove that maximal entanglement can be entirely described by adjacent pairs, then give…

量子物理 · 物理学 2019-10-30 Alexander Meill , David A. Meyer

We explore the entanglement features of pure symmetric N-qubit states characterized by N-distinct spinors with a particular focus on the Greenberger-Horne-Zeilinger(GHZ) states and WWbar, an equal superposition of W and obverse W states.…

The limitation on the shareability of quantum entanglement over several parties, the so-called monogamy of entanglement, is an issue that has caught considerable attention of quantum informa- tion community over the last decade. A natural…

量子物理 · 物理学 2012-09-11 Sudha , A. R. Usha Devi , A. K. Rajagopal

It is known that there are three maximally entangled states $\ket{\Phi_1} = (\ket{0000} + \ket{1111}) / \sqrt{2}$, $\ket{\Phi_2} = (\sqrt{2} \ket{1111} + \ket{1000} + \ket{0100} + \ket{0010} + \ket{0001}) / \sqrt{6}$, and $\ket{\Phi_3} =…

量子物理 · 物理学 2015-05-26 Eylee Jung , DaeKil Park

Entanglement properties of a basic set of eight entangled three particle pure states possessing certain permutation symmetries are studied. They fall into four sets of two entangled states, differing in their patterns of robustness to…

量子物理 · 物理学 2009-11-07 A. K. Rajagopal , R. W. Rendell

We consider a single copy of a pure four-partite state of qubits and investigate its behaviour under the action of stochastic local quantum operations assisted by classical communication (SLOCC). This leads to a complete classification of…

量子物理 · 物理学 2009-11-07 F. Verstraete , J. Dehaene , B. De Moor , H. Verschelde

Because of the difficulty in getting the analytic formula of relative entropy of entanglement, it becomes troublesome to study the monogamy relations of relative entropy of entanglement for three-qubit pure states. However, we find that all…

量子物理 · 物理学 2015-06-11 Zhen Wang , Xiu-Hong Gao , Zhi-Xi Wang

We propose a method to detect genuine quantum correlation for multi-qubit pure states. We then derive a complementarity relations for pure quantum states of N qubits. We prove that in all many-qubit systems there exist strict monogamy laws…

量子物理 · 物理学 2016-03-21 Xin-wei Zha , Yanpeng Zhang

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

A general method in constructing a complete set of wave functions for multipartite identical qubits is presented based on the irreducible representations of the permutation group and the nth rank tensors. Particular examples for n =2, 3,…

量子物理 · 物理学 2007-05-23 P. J. Lin-Chung

The monogamy of quantum entanglement captures the property of limitation in the distribution of entanglement. Various monogamy relations exist for different entanglement measures that are important in quantum information processing. Our…

量子物理 · 物理学 2021-11-29 Xue Yang , Ming-Xing Luo

We describe a pure state of four qubits whose single-qubit density matrices are all maximally mixed and whose average entanglement as a system of two pairs of qubits appears to be maximal.

量子物理 · 物理学 2009-11-06 A. Higuchi , A. Sudbery

From both theoretical and experimental points of view symmetric states constitute an important class of multipartite states. Still, entanglement properties of these states, in particular those with positive partial transposition (PPT), lack…

量子物理 · 物理学 2013-07-29 R. Augusiak , J. Tura , J. Samsonowicz , M. Lewenstein

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 discuss limitations to sharing entanglement known as monogamy of entanglement. Our pedagogical approach commences with simple examples of limited entanglement sharing for pure three-qubit states and progresses to the more general case of…

量子物理 · 物理学 2012-10-19 Jeong San Kim , Gilad Gour , Barry C. Sanders

A necessary condition of the maximally multipartite entangled states (MMES) is given via n-tangle. The condition shows that the n-tangle equal zero for the four-, and eight-qubit of MMESs and the n-tangle equal 1 for two- and six- qubits of…

量子物理 · 物理学 2014-10-21 Xin-Wei Zha , Jian-Xia Qi , Yun-Guang Zhang

Monogamy of quantum correlations provides a way to study restrictions on their sharability in multiparty systems. We find the critical exponent of these measures, above which randomly generated multiparty pure states satisfy the usual…

量子物理 · 物理学 2019-04-10 Soorya Rethinasamy , Saptarshi Roy , Titas Chanda , Aditi Sen De , Ujjwal Sen

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

A striking result from nonrelativistic quantum mechanics is the monogamy of entanglement, which states that a particle can be maximally entangled only with one other party, not with several ones. While there is the exact quantitative…

量子物理 · 物理学 2015-04-16 Christopher Eltschka , Jens Siewert

Tsallis-$q$ entanglement is a bipartite entanglement measure which is the generalization of entanglement of formation for $q$ tending to 1. We first expand the range of $q$ for the analytic formula of Tsallis-\emph{q} entanglement. For…

量子物理 · 物理学 2016-07-12 Guang-Ming Yuan , Wei Song , Ming Yang , Da-Chuang Li , Jun-Long Zhao , Zhuo-Liang Cao