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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

Exploring an analytical expression for the convex roof of the pure state squared concurrence for rank 2 mixed states the entanglement of a system of three particles under decoherence is studied, using the monogamy inequality for mixed…

量子物理 · 物理学 2009-08-28 Thiago R. de Oliveira

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

The distribution of entanglement in a multiparty system can be described through the principles of monogamy or polygamy. Monogamy is a fundamental characteristic of entanglement that restricts its distribution among several number of…

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 establish duality for monogamy of entanglement: whereas monogamy of entanglement inequalities provide an upper bound for bipartite sharability of entanglement in a multipartite system, we prove that the same quantity provides a…

量子物理 · 物理学 2007-05-23 Somshubhro Bandyopadhyay , Gilad Gour , Barry C. Sanders

We study the distribution of quantum correlations characterized by monogamy relations in multipartite systems. By using the Hamming weight of the binary vectors associated with the subsystems, we establish a class of monogamy inequalities…

量子物理 · 物理学 2018-12-04 Zhi-Xiang Jin , Shao-Ming Fei

Using very general arguments, we prove that any entanglement measures based on distance must be maximal on pure states. Furthermore, we show that Bures measure of entanglement and geometric measure of entanglement satisfy the monogamy…

量子物理 · 物理学 2021-05-11 Limin Gao , Fengli Yan , Ting Gao

The monogamy relations of quantum correlation restrict the sharability of quantum correlations in multipartite quantum states. We show that all measures of quantum correlations satisfy some kind of monogamy relations for arbitrary…

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

We present an interesting monogamy equation for $(2 \otimes 2 \otimes n)$-dimensional pure states, by which a quantity is found to characterize the tripartite entanglement with the GHZ type and W typeentanglements as a whole. In particular,…

量子物理 · 物理学 2009-11-13 Chang-shui Yu , He-shan Song

We provide an evidence for the validity of strong monogamy inequality of multi-party quantum entanglement using square of convex-roof extended negativity(SCREN). We first consider a large class of multi-qudit mixed state that are in a…

量子物理 · 物理学 2016-04-06 Jeong San Kim

Multipartite quantum systems are subject to monogamy relations that impose fundamental constraints on the distribution of quantum correlations between subsystems. These constraints can be studied quantitatively through sector lengths,…

量子物理 · 物理学 2026-01-08 Eduardo Serrano-Ensástiga , Olivier Giraud , John Martin

The monogamy and polygamy properties of quantum entanglement characterize fundamental constraints on the distribution of entanglement in multipartite quantum systems. In this paper, we investigate tighter monogamy and polygamy relations for…

量子物理 · 物理学 2026-03-16 Chenxiao Wang , Limin Gao

Monogamy and polygamy are the most striking features of the quantum world. We investigate the monogamy and polygamy relations satisfied by all quantum correlation measures for arbitrary multipartite quantum states. By introducing residual…

量子物理 · 物理学 2020-10-09 Zhi-Xiang Jin , Shao-Ming Fei

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

Quantum entanglement for multiparty system has a unique feature when it comes to sharing its property among various subsystems. This is famously stated as the monogamy of entanglement. The traditional monogamy of concurrence for tripartite…

量子物理 · 物理学 2022-05-04 Ida Mishra , Arun K Pati , Sohail

Monogamy relations characterize the distributions of entanglement in multipartite systems. We investigate monogamy relations for multiqubit generalized W-class states. We present new analytical monogamy inequalities for the concurrence of…

量子物理 · 物理学 2018-07-24 Zhi-Xiang Jin , Shao-Ming Fei

The monogamy of entanglement means that entanglement cannot be freely shared. In 2014, Oliveira et al. [ Oliveira et al., Phys. Rev. A. 89, 034303 (2014)] proposed a monogamy relation in the linear version and considered it in terms of…

量子物理 · 物理学 2021-08-04 Xian Shi , Lin Chen , Mengyao Hu

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

For continuous-variable systems, we introduce a measure of entanglement, the continuous variable tangle ({\em contangle}), with the purpose of quantifying the distributed (shared) entanglement in multimode, multipartite Gaussian states.…

量子物理 · 物理学 2007-05-23 Gerardo Adesso , Fabrizio Illuminati