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We explore the quantum correlation distribution in multipartite quantum states based on the square of quantum discord (SQD). For tripartite quantum systems, we derive the necessary and sufficient condition for the SQD to satisfy the…

Quantum Physics · Physics 2015-06-05 Yan-Kui Bai , Na Zhang , Ming-Yong Ye , Z. D. Wang

We introduce the concept of monogamy deficit for quantum correlation by combining together two types of monogamy inequalities depending on different measurement sides. For tripartite pure state, we demonstrate a relation which connects two…

Quantum Physics · Physics 2013-07-05 Si-Yuan Liu , Bo Li , Wen-Li Yang , Heng Fan

We present a classification of three-qubit states based in their three-qubit and reduced two-qubit entanglements. For pure states these criteria can be easily implemented, and the different types can be related with sets of equivalence…

Quantum Physics · Physics 2009-11-13 Carlos Sabín , Guillermo García-Alcaine

It is well known that a particle cannot freely share entanglement with two or more particles. This restriction is generally called monogamy. However the formal quantification of such restriction is only known for some measures of…

Quantum Physics · Physics 2014-04-03 Thiago R. de Oliveira , Marcio F. Cornelio , Felipe F. Fanchini

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,…

Quantum Physics · Physics 2009-11-13 Chang-shui Yu , He-shan Song

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…

Quantum Physics · Physics 2009-08-06 Jeong San Kim

Monogamy relations characterize the distributions of quantum entanglement in multipartite systems. In this work, we present some tighter monogamy relations in terms of the power of the Tsallis-q and R\'{e}nyi-$\alpha$ entanglement in…

Quantum Physics · Physics 2022-05-10 Rongxia Qi , Yanmin Yang , Jialing Zhang , Wei Chen

We report a set of monogamy constraints on one-tangle, two-tangles, three-tangles and four-way correlations of a general four-qubit pure state. It is found that given a two-qubit marginal state $\rho$ of a four qubit pure state $\left\vert…

Quantum Physics · Physics 2022-08-16 S. Shelly Sharma

Monogamy of bipartite correlations leads, for arbitrary pure multi-qubit states, to simple conditions able to indicate various types of multipartite entanglement by being capable to exclude the possibility of k-separability.

Quantum Physics · Physics 2013-04-09 Marcin Markiewicz , Wieslaw Laskowski , Tomasz Paterek , Marek Zukowski

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…

Quantum Physics · Physics 2025-10-03 Sumit Nandi

We provide a generalization for the polygamy constraint of multiparty entanglement in arbitrary dimensional quantum systems. By using the $\beta$th-power of entanglement of assistance for $0\leq \beta \leq1$ and the Hamming weight of the…

Quantum Physics · Physics 2018-04-25 Jeong San Kim

Quantum entanglement and quantum non-locality are known to exhibit monogamy, that is, they obey strong constraints on how they can be distributed among multipartite systems. Quantum correlations that comprise and go beyond entanglement are…

Quantum Physics · Physics 2012-08-03 Alexander Streltsov , Gerardo Adesso , Marco Piani , Dagmar Bruss

Monogamy is a non-classical property that restricts the sharability of quantum correlation among the constituents of a multipartite quantum system. Quantum correlations may satisfy or violate monogamy for quantum states. Here we provide…

Quantum Physics · Physics 2015-02-09 Asutosh Kumar , R. Prabhu , Aditi Sen De , Ujjwal Sen

We demonstrate the existence of general constraints on distributed quantum correlations, which impose a trade-off on bipartite and multipartite entanglement at once. For all N-mode Gaussian states under permutation invariance, we establish…

Quantum Physics · Physics 2007-10-09 Gerardo Adesso , Fabrizio Illuminati

Using entanglement of assistance, we establish a general polygamy inequality of multi-party entanglement in arbitrary dimensional quantum systems. For multi-party closed quantum systems, we relate our result with the monogamy of…

Quantum Physics · Physics 2012-06-15 Jeong San Kim

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…

Quantum Physics · Physics 2022-06-15 Xue Yang , Yan-Han Yang , Ming-Xing Luo

In this research, the entanglement within two entangled n-qubit systems is analyzed using the one-tangle, two-tangle, and {\pi}-tangle. The findings indicate that for certain quantum states, such as the generalized W state, where the…

Quantum Physics · Physics 2026-05-29 Reza Hamzehofi

Monogamy and polygamy of quantum correlations are the fundamental properties of quantum systems. We study the monogamy and polygamy relations satisfied by any quantum correlations in multipartite quantum systems. General monogamy relations…

Quantum Physics · Physics 2023-12-19 Zhong-Xi Shen , Ke-Ke Wang , Shao-Ming Fei

Unlike classical correlations, entanglement cannot be freely shared among multiple parties. This unique feature of quantum systems is known as the monogamy of entanglement. While it holds for all multipartite pure states, its converse --…

Quantum Physics · Physics 2026-05-08 Junhyeong An , Soojoon Lee

We propose an entanglement tensor to compute the entanglement of a general pure multipartite quantum state. We compare the ensuing tensor with the concurrence for bipartite state and apply the tensor measure to some interesting examples of…

Quantum Physics · Physics 2016-08-16 Hoshang Heydari , Gunnar Björk
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