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Computable constraints on entanglement-sharing of multipartite quantum states [article]

Yong-Cheng Ou, Mark S. Byrd
2010 arXiv   pre-print
In this paper, based on the negativity and realignment, we provide a set of entanglement-sharing constraints for multipartite states, where the entanglement is not necessarily limited to bipartite and  ...  pure states, thus aiding in the quantification of constraints for entanglement-sharing.  ...  Computable constraints on entanglement-sharing of multipartite quantum states Computable constraints on entanglement-sharing of multipartite quantum states  ... 
arXiv:1004.5148v1 fatcat:s56ny3wsxjef5lz47df5st6524

Genuine multipartite entanglement of symmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure

Gerardo Adesso, Fabrizio Illuminati
2008 Physical Review A. Atomic, Molecular, and Optical Physics  
into correlations shared by K single modes, one per molecule, in effective non-symmetric states.  ...  We compute the genuine multipartite entanglement shared by the blocks ("molecules") and investigate its scaling properties with the number and size of the molecules, the total number of modes, the global  ...  quantification of genuine multipartite entanglement via a strong monogamy constraint on bipartite and multipartite quantum correlations (see Fig. 1 for a pictorial representation). .  ... 
doi:10.1103/physreva.78.042310 fatcat:g24xouzypzgi3kkxvrqjooagdy

Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case

Gerardo Adesso, Fabrizio Illuminati
2007 Physical Review Letters  
We demonstrate the existence of general constraints on distributed quantum correlations, which impose a trade-off on bipartite and multipartite entanglement at once.  ...  Strong monogamy holds as well for subsystems of arbitrary size, and the emerging multipartite entanglement measure is found to be scale invariant.  ...  |pN as a proper quantifier of N -partite entanglement, one needs first to show its nonnegativity on all quantum states.  ... 
doi:10.1103/physrevlett.99.150501 pmid:17995148 fatcat:rqgccpad7rg35p3uldgafofpqu

Constraint on teleportation over multipartite pure states

J. S. Kim, J. Joo, S. Lee
2011 European Physical Journal D : Atomic, Molecular and Optical Physics  
We first define a quantity exhibiting the usefulness of bipartite quantum states for teleportation, called the quantum teleportation capability, and then investigate its restricted shareability in multi-party  ...  In this work, we verify that the quantum teleportation capability has a monogamous property in its shareability for arbitrary three-qutrit pure states by employing the monogamy inequality in terms of the  ...  Multipartite entanglement has an interesting property, called the monogamy of entanglement, which means that quantum states with a specific amount of entanglement cannot be arbitrarily shared in a multipartite  ... 
doi:10.1140/epjd/e2011-20404-9 fatcat:rwwehproxvdgxdvwaqrlsepqou

Genuine Network Multipartite Entanglement [article]

Miguel Navascues, Elie Wolfe, Denis Rosset, Alejandro Pozas-Kerstjens
2020 arXiv   pre-print
The standard definition of genuine multipartite entanglement stems from the need to assess the quantum control over an ever-growing number of quantum systems.  ...  several k-partite states distributed among the parties, even with the aid of global shared randomness.  ...  The work of APK was supported by Fundació Obra Social "la Caixa"  ... 
arXiv:2002.02773v2 fatcat:pgkdmhvatrcofejyxgnrqoiyxu

Coexistence of unlimited bipartite and genuine multipartite entanglement: Promiscuous quantum correlations arising from discrete to continuous-variable systems

Gerardo Adesso, Marie Ericsson, Fabrizio Illuminati
2007 Physical Review A. Atomic, Molecular, and Optical Physics  
Quantum mechanics imposes 'monogamy' constraints on the sharing of entanglement.  ...  Such a finding is of importance for the quantification, understanding and potential exploitation of shared quantum correlations in continuous variable systems.  ...  The study of entanglement sharing and monogamy constraints thus offers a natural framework to interpret and quantify entanglement in multipartite quantum systems [3] .  ... 
doi:10.1103/physreva.76.022315 fatcat:xkkrop5cgjeqvjq4lkibmbxium


2006 International Journal of Quantum Information  
In these proceedings we report, in a unifying framework, a bird's eye view of the most relevant results that have been established so far on entanglement sharing in quantum systems.  ...  Since then, a lot of efforts have been devoted to the investigation of distributed entanglement in multipartite quantum systems.  ...  Wootters for lots of suggestions and enjoying discussions on the subject. Note added in proof.  ... 
doi:10.1142/s0219749906001852 fatcat:4vmsuxjdnzg7nlzc5p77fnckgq

Genuine Multipartite Entanglement in the 3-Photon Decay of Positronium

Beatrix C. Hiesmayr, Pawel Moskal
2017 Scientific Reports  
We show in this contribution that the three-photon state with respect to polarisation degrees of freedom depends on the angles between the photons and exhibits various specific entanglement features.  ...  The survival of particular entanglement properties in the mixing scenario may make it possible to extract quantum information in form of distinct entanglement features, e.g., from metabolic processes in  ...  The superimposed constraints result in a dependence of entanglement on the decay angles obeying the indistinguishability of the individual photons.  ... 
doi:10.1038/s41598-017-15356-y pmid:29127376 pmcid:PMC5681662 fatcat:ew7hyjawmrhxbgbe267f7caoiu

Detection of entanglement in asymmetric quantum networks and multipartite quantum steering

D. Cavalcanti, P. Skrzypczyk, G. H. Aguilar, R. V. Nery, P.H. Souto Ribeiro, S. P. Walborn
2015 Nature Communications  
The future of quantum communication relies on quantum networks composed by observers sharing multipartite quantum states.  ...  The certification of multipartite entanglement will be crucial to the usefulness of these networks.  ...  Financial support was provided by Brazilian agencies FAPERJ, CNPq, CAPES and the National Institute of Science and Technology for Quantum Information.  ... 
doi:10.1038/ncomms8941 pmid:26235944 pmcid:PMC4532875 fatcat:b7vxziwzebdxjcy7kggw6pjpwe

Restrictions on sharability of classical correlations for random multipartite quantum states [article]

Saptarshi Roy, Shiladitya Mal, Aditi Sen De
2020 arXiv   pre-print
Unlike quantum correlations, the sharability of classical correlations (CCs) between two-parties of a multipartite state is assumed to be free since there exist states for which CCs for each of the reduced  ...  We explore the possibility of nontrivial upper bound by Haar uniformly generating random multipartite states and computing the frequency distribution for various CC measures, conventional classical correlators  ...  Some numerical results have been obtained using the Quantum Information and Computation library (QIClib). This research was supported in part by the INFOSYS scholarship for senior students.  ... 
arXiv:2008.09592v1 fatcat:xii7cwvlrree5jue5wqbyztrry

Multipartite Gaussian steering: Monogamy constraints and quantum cryptography applications

Yu Xiang, Ioannis Kogias, Gerardo Adesso, Qiongyi He
2017 Physical Review A  
We derive laws for the distribution of quantum steering among different parties in multipartite Gaussian states under Gaussian measurements.  ...  For pure three-mode Gaussian states, the residual acts a quantifier of genuine multipartite steering, and is interpreted operationally in terms of the guaranteed key rate in the task of secure quantum  ...  A successful and secure quantum network relies on quantum correlations distributed and shared over many sites [1] .  ... 
doi:10.1103/physreva.95.010101 fatcat:xdxpi3e4uzaevonot7ra7aanvy

Experimental Demonstration that No Tripartite-Nonlocal Causal Theory Explains Nature's Correlations [article]

Huan Cao, Marc-Olivier Renou, Chao Zhang, Gaël Massé, Xavier Coiteux-Roy, Bi-Heng Liu, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, Elie Wolfe
2022 arXiv   pre-print
Quantum theory predicts the existence of genuinely tripartite-entangled states, which cannot be obtained from local operations over any bipartite entangled states and unlimited shared randomness.  ...  entanglement) assisted with unlimited shared randomness.  ...  Quantum theory predicts the existence of genuinely tripartite-entangled states, which cannot be obtained from local operations over any bipartite entangled states and unlimited shared randomness.  ... 
arXiv:2201.12754v2 fatcat:o427eio6ffakzkwzvzio3dfmia

Multipartite dense coding versus quantum correlation: Noise inverts relative capability of information transfer

Tamoghna Das, R. Prabhu, Aditi Sen(De), Ujjwal Sen
2014 Physical Review A. Atomic, Molecular, and Optical Physics  
A highly entangled bipartite quantum state is more advantageous for the quantum dense coding protocol than states with low entanglement.  ...  We establish a connection between the multiparty capacity of classical information transmission in quantum dense coding and several multipartite quantum correlation measures of the shared state, used in  ...  We acknowledge computations performed at the cluster computing facility at HRI.  ... 
doi:10.1103/physreva.90.022319 fatcat:bh5lzfs24raq7fbjomtyiqai3e

General Monogamy Inequality for Bipartite Qubit Entanglement

Tobias J. Osborne, Frank Verstraete
2006 Physical Review Letters  
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 to the concept of frustration of correlations in quantum spin systems.  ...  O. to this problem and for providing a tremendous amount of encouragement and suggestions. Also, we are deeply indebted to Andreas Winter for extensive helpful suggestions and comments.  ... 
doi:10.1103/physrevlett.96.220503 pmid:16803293 fatcat:ypfww3bekbahtprnwc2k4uq2h4

Bipartite and Multipartite Entanglement of Gaussian States [chapter]

Gerardo Adesso, Fabrizio Illuminati
2007 Quantum Information with Continuous Variables of Atoms and Light  
Nevertheless, we show that pure, symmetric three-mode Gaussian states, at variance with their discretevariable counterparts, allow a promiscuous sharing of quantum correlations, exhibiting both maximum  ...  Finally, we investigate the connection between multipartite entanglement and the optimal fidelity in a continuous-variable quantum teleportation network.  ...  A good portion of the material reported in this chapter originates from joint work with our friend and colleague Alessio Serafini, whom we warmly thank for the joy of collaborating together.  ... 
doi:10.1142/9781860948169_0001 fatcat:aiqs63yygzbebocdc56zrp5llm
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