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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…

Quantum Physics · Physics 2014-11-26 R. Augusiak , M. Demianowicz , M. Pawłowski , J. Tura , A. Acín

We investigate the entanglement properties of multi-mode Gaussian states, which have some symmetry with respect to the ordering of the modes. We show how the symmetry constraints the entanglement between two modes of the system. In…

Quantum Physics · Physics 2009-11-10 M. M. Wolf , F. Verstraete , J. I. Cirac

We characterize the polygamy nature of quantum entanglement in multi-party systems in terms of $q$-expectation value for the full range of $q\geq 1$. By investigating some properties of generalized quantum correlations in terms of…

Quantum Physics · Physics 2020-01-01 Jeong San Kim

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,…

Quantum Physics · Physics 2009-11-06 Alexander Wong , Nelson Christensen

In this paper we state a fundamental question about the structure of correlations in time and analyze temporal monogamy relations. We show that the nature of temporal correlations is inherently different from the spatial ones but in…

Quantum Physics · Physics 2016-04-15 Marcin Nowakowski

In this paper we demonstrate that the property of monogamy of Bell violations seen for no-signaling correlations in composite systems can be generalized to the monogamy of contextuality in single systems obeying the Gleason property of…

Quantum Physics · Physics 2013-05-30 Ravishankar Ramanathan , Akihito Soeda , Pawel Kurzynski , Dagomir Kaszlikowski

Monogamy and polygamy relations characterize the distributions of entanglement in multipartite systems. We investigate the monogamy and polygamy relations with respect to any partitions for a superposition of the generalized $W$-class state…

Quantum Physics · Physics 2021-09-24 Le-Min Lai , Shao-Ming Fei , Zhi-Xi Wang

Entanglement negativity is a measure of mixed-state entanglement increasingly used to investigate and characterize emerging quantum many-body phenomena, including quantum criticality and topological order. We present two results for the…

Quantum Physics · Physics 2015-06-18 Huan He , Guifre Vidal

We provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical-classical-quantum(ccq) states whose quantum parts are…

Quantum Physics · Physics 2021-02-02 Jeong San Kim

Monogamy relations place restrictions on the shareability of quantum corellations in multipartite states. Being an intrinsic quantum feature, monogamy property throws light on {\emph{residual}} entanglement, an entanglement which is not…

Quantum Physics · Physics 2021-12-28 Sudha , K. S. Akhilesh , B. G. Divyamani , A. R. Ushadevi , K. S. Mallesh

Monogamy of entanglement means that an entangled state cannot be shared with many parties. The more parties, the less entanglement between them. In this paper, we give a simple proof of this property and provide an upper bound of the number…

Quantum Physics · Physics 2009-11-13 Dong Yang

We demonstrate that the Renyi-2 entropy provides a natural measure of information for any multimode Gaussian state of quantum harmonic systems, operationally linked to the phase-space Shannon sampling entropy of the Wigner distribution of…

Quantum Physics · Physics 2013-05-27 Gerardo Adesso , Davide Girolami , Alessio Serafini

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…

Quantum Physics · Physics 2016-06-02 Bartosz Regula , Andreas Osterloh , Gerardo Adesso

A concise introduction to quantum entanglement in multipartite systems is presented. We review entanglement of pure quantum states of three--partite systems analyzing the classes of GHZ and W states and discussing the monogamy relations.…

Quantum Physics · Physics 2016-12-23 Ingemar Bengtsson , Karol Zyczkowski

In density matrix theory, entanglement is monogamous. However, we show that qubits can be arbitrarily entangled in a different, recently constructed model of qubit entanglement [arXiv:1907.11805]. We illustrate the differences between these…

High Energy Physics - Theory · Physics 2020-02-10 Anna Karlsson

This article reviews and extends recent results concerning entanglement and frustration in multipartite systems which have some symmetry with respect to the ordering of the particles. Starting point of the discussion are Bell inequalities:…

Quantum Physics · Physics 2007-05-23 M. M. Wolf , F. Verstraete , J. I. Cirac

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…

Quantum Physics · Physics 2022-10-25 Yudie Gu , Yanmin Yang , Jialing Zhang , Wei Chen

In this paper, a computable multipartite multimode Gaussian quantum correlation measure ${\mathcal M}^{(k)}$ is proposed for any $k$-partite continuous-variable (CV) systems with $k\geq 2$. ${\mathcal M}^{(k)}$ depends only on the…

Quantum Physics · Physics 2022-03-01 Jinchuan Hou , Liang Liu , Xiaofei Qi

We investigate the correlation structure of pure N-mode Gaussian resources which can be experimentally generated by means of squeezers and beam splitters, whose entanglement properties are generic. We show that those states are specified…

Quantum Physics · Physics 2007-05-23 Gerardo Adesso

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…

Quantum Physics · Physics 2026-04-21 Limin Gao , Chenxiao Wang
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