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In this paper, we present some monogamy relations of multiqubit quantum entanglement in terms of the \beta th power of concurrence, entanglement of formation and convex-roof extended negativity. These monogamy relations are proved to be…

量子物理 · 物理学 2022-10-25 Yudie Gu , Yanmin Yang , Jialing Zhang , Wei Chen

Entanglement concurrence is an important bipartite entanglement measure that has found wide applications in quantum technologies. In this work, inspired by unified entropy, we introduce a two-parameter family of entanglement measures,…

量子物理 · 物理学 2026-02-02 Chen-Ming Bai , Yu Luo

Quantum entropy is an important measure for describing the uncertainty of a quantum state, more uncertainty in subsystems implies stronger quantum entanglement between subsystems. Our goal in this work is to quantify bipartite entanglement…

量子物理 · 物理学 2022-04-18 Xue Yang , Yan-Han Yang , Li-Ming Zhao , Ming-Xing Luo

Physical principles constrain the way nonlocal correlations can be distributed among distant parties. These constraints are usually expressed by monogamy relations that bound the amount of Bell inequality violation observed among a set of…

量子物理 · 物理学 2014-11-26 R. Augusiak , M. Demianowicz , M. Pawłowski , J. Tura , A. Acín

Monogamy of entanglement is generally discussed using a bipartite entanglement measure as an upper bound. Here we discuss a new kind of monogamous relation where the upper bound is given by a multipartite measure of entanglement, the…

量子物理 · 物理学 2013-03-27 Marcio F. Cornelio

We investigate monogamy of correlations and entropy inequalities in the Bloch representation. Here, both can be understood as direct relations between different correlation tensor elements and thus appear intimately related. To that end we…

量子物理 · 物理学 2020-03-12 Paul Appel , Marcus Huber , Claude Klöckl

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

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…

量子物理 · 物理学 2015-02-09 Asutosh Kumar , R. Prabhu , Aditi Sen De , Ujjwal Sen

Our main result is a monogamy inequality satisfied by the entanglement of a focus qubit (one-tangle) in a four-qubit pure state and entanglement of subsystems. Analytical relations between three-tangles of three-qubit marginal states,…

量子物理 · 物理学 2018-06-13 S. Shelly Sharma , N. K. Sharma

A fruitful way of studying physical theories is via the question whether the possible physical states and different kinds of correlations in each theory can be shared to different parties. Over the past few years it has become clear that…

量子物理 · 物理学 2010-04-15 Michael Seevinck

It has been observed by numerous authors that a quantum system being entangled with another one limits its possible entanglement with a third system: this has been dubbed the "monogamous nature of entanglement". In this paper we present a…

量子物理 · 物理学 2009-11-10 Masato Koashi , Andreas Winter

The physics of a many-particle system is determined by the correlations in its quantum state. Therefore, analyzing these correlations is the foremost task of many-body physics. Any 'a priori' constraint for the properties of the global vs.…

量子物理 · 物理学 2018-05-24 Christopher Eltschka , Jens Siewert

We study the monogamy and polygamy relations related to quantum correlations for multipartite quantum systems in a unified manner. It is known that any bipartite measure obeys monogamy and polygamy relations for the $r$-power of the…

量子物理 · 物理学 2023-10-11 Xia Zhang , Naihuan Jing , Ming Liu , Haitao Ma

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…

量子物理 · 物理学 2013-07-05 Si-Yuan Liu , Bo Li , Wen-Li Yang , Heng Fan

We investigate the polygamy relations of multipartite quantum states. General polygamy inequalities are given in the $\alpha$th $(\alpha\geq 2)$ power of concurrence of assistance, $\beta$th $(\beta \geq1)$ power of entanglement of…

量子物理 · 物理学 2019-03-04 Zhi-Xiang Jin , Shao-Ming Fei , Cong-Feng Qiao

We derive a tight and saturable monogamy relation for three-qubit pure states that bounds the sum of concurrence and concurrence of assistance by the entanglement with an external qubit. The bound decreases strictly with increasing external…

量子物理 · 物理学 2026-04-21 Limin Gao , Chenxiao Wang

Large-scale quantum networks have been employed to overcome practical constraints of transmissions and storage for single entangled systems. Our goal in this article is to explore the strong entanglement distribution of quantum networks. We…

量子物理 · 物理学 2022-04-18 Xue Yang , Yan-Han Yang , Ming-Xing Luo

In this paper, we introduce a category of one-parameter bipartite entanglement quantifiers, termed $G_q$-concurrence ($q>1$), and show rigorously that they satisfy all the axiomatic conditions of an entanglement measure and can be…

量子物理 · 物理学 2024-06-28 Hui Li , Ting Gao , Fengli Yan

We investigate possible generalizations of the Coffman-Kundu-Wootters monogamy inequality to four qubits, accounting for multipartite entanglement in addition to the bipartite terms. We show that the most natural extension of the inequality…

量子物理 · 物理学 2016-06-02 Bartosz Regula , Andreas Osterloh , Gerardo Adesso

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…

量子物理 · 物理学 2012-08-03 Alexander Streltsov , Gerardo Adesso , Marco Piani , Dagmar Bruss