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Multiparticle entanglement under asymptotic positive-partial-transpose-preserving operations

S. Ishizaka, M. B. Plenio
2005 Physical Review A. Atomic, Molecular, and Optical Physics  
We investigate the structure of minimal reversible entanglement generating set ͑MREGS͒ for tripartite states under positive-partialtranspose-͑PPT-͒ preserving operations.  ...  In this context we prove the surprising result that the relative entropy of entanglement can be strictly subadditive for certain pure tripartite states which is crucial to keep open the possibility that  ...  Audenaert for his help in finding the example provided in the proof of the lemma. We also acknowledge discussions with B. Groisman, N. Linden, S. Popescu, and A. Winter on the issues discussed here.  ... 
doi:10.1103/physreva.72.042325 fatcat:nn2dhpdgkjeuhph63efgsp2zsy

Tripartite entanglement and quantum relative entropy

E F Galvão, M B Plenio, S Virmani
2000 Journal of Physics A: Mathematical and General  
Our results pertain to the asymptotic limit of local manipulations on a large number of copies of the state.  ...  We establish relations between tripartite pure state entanglement and additivity properties of the bipartite relative entropy of entanglement.  ...  Any counterexample would be a state which cannot be generated reversibly from the set G 3 , representing a new kind of asymptotic tripartite entanglement.  ... 
doi:10.1088/0305-4470/33/48/316 fatcat:clirggnkk5csxfup27tv63g2ga

Reversible Combination of Inequivalent Kinds of Multipartite Entanglement

G. Vidal, W. Dür, J. I. Cirac
2000 Physical Review Letters  
More generally, we show that the three different kinds of bipartite entanglement (AB, AC and BC EPR states) and tripartite GHZ entanglement can be reversibly combined in a single state of three parties  ...  For such states the corresponding fractions of GHZ and of EPR states represent a complete quantification of their (asymptotical) entanglement resources.  ...  We can now generalize the previous example and reversibly combine the three kinds of bipartite entanglement and the canonical tripartite entanglement in a single state.  ... 
doi:10.1103/physrevlett.85.658 pmid:10991364 fatcat:d7p4m2x3gjahvpjy5tosig2yk4

Quantum Prisoners' Dilemma under Enhanced Interrogation [article]

George Siopsis, Radhakrishnan Balu, Neal Solmeyer
2017 arXiv   pre-print
The role of bipartite and tripartite entanglement is explored to explain that structure.  ...  Upon continuous variation between a W-state and a pure bipartite entangled state, the game is shown to have a surprisingly rich structure.  ...  The role of bipartite and tripartite entanglement is explored to explain that structure.  ... 
arXiv:1711.11480v1 fatcat:zloarnlpvndt7i74unkw3rvqau

Quantum prisoners' dilemma under enhanced interrogation

George Siopsis, Radhakrishnan Balu, Neal Solmeyer
2018 Quantum Information Processing  
In the three-qubit Hilbert space, one can introduce tripartite entanglement which will lead to a much richer Nash equilibrium structure.  ...  The role of bipartite and tripartite entanglement is explored to explain that structure.  ...  The role of bipartite and tripartite entanglement is explored to explain that structure.  ... 
doi:10.1007/s11128-018-1915-9 fatcat:6pvr3rvudzdnnn3ofgjworclea

Structural change in multipartite entanglement sharing: A random matrix approach

G. Gennaro, S. Campbell, M. Paternostro, G. M. Palma
2009 Physical Review A. Atomic, Molecular, and Optical Physics  
Under a Heisenberg interaction model, the average entanglement between the ancilla and one of the environments remains constant, regardless of the preparation of the latter and the details of the interaction  ...  multipartite entanglement class of the overall system's state.  ...  Guta for interesting discussions on the topic of entanglement in random-matrix settings.  ... 
doi:10.1103/physreva.80.062315 fatcat:c37xmt63gnevjd7bhk5u5tvhve

Distillation of Greenberger-Horne-Zeilinger States by Selective Information Manipulation

Oliver Cohen, Todd A. Brun
2000 Physical Review Letters  
Methods for distilling maximally entangled tripartite (GHZ) states from arbitrary entangled tripartite pure states are described. These techniques work for virtually any input state.  ...  Primary distillation produces a GHZ state with some probability, so that when applied to an ensemble of systems, a certain percentage is discarded.  ...  However, if we simply carry out a single POV measurement of this type on each of the three subsystems in turn, the resulting tripartite state will not in general be a GHZ state.  ... 
doi:10.1103/physrevlett.84.5908 pmid:10991085 fatcat:v2f465nirng37dnzgknvhwrvaa

Publisher's Note: Multiparticle entanglement under asymptotic positive-partial-transpose-preserving operations [Phys. Rev.72, 042325 (2005)]

S. Ishizaka, M. B. Plenio
2005 Physical Review A. Atomic, Molecular, and Optical Physics  
We investigate the structure of minimal reversible entanglement generating set (MREGS) for tri-partite states under positive partial transpose (ppt) preserving operations.  ...  In this context we prove the surprising result that the relative entropy of entanglement can be strictly sub-additive for certain pure tri-partite states which is crucial to keep open the possibility that  ...  Audenaert his help in finding the example provided in the proof of the Lemma. We also acknowledge discussions with B. Groisman, N. Linden, S. Popescu and A. Winter on the issues discussed here.  ... 
doi:10.1103/physreva.72.059907 fatcat:3llfqyistvdhxf6vldqxcemwiy

Optical state engineering, quantum communication, and robustness of entanglement promiscuity in three-mode Gaussian states

Gerardo Adesso, Alessio Serafini, Fabrizio Illuminati
2007 New Journal of Physics  
We present a novel, detailed study on the usefulness of three-mode Gaussian states states for realistic processing of continuous-variable quantum information, with a particular emphasis on the possibilities  ...  We finally focus on the application of three-mode states to symmetric and asymmetric telecloning, and single out the structural properties of the optimal Gaussian resources for the latter protocol in different  ...  G A is grateful to Samanta Piano for her encouraging advice, and for reminding him of the sentence quoted in the caption of Fig. 2 .  ... 
doi:10.1088/1367-2630/9/3/060 fatcat:kiaenwzqsbelzhhsw7y7hghstu

Multipartite entanglement in three-mode Gaussian states of continuous-variable systems: Quantification, sharing structure, and decoherence

Gerardo Adesso, Alessio Serafini, Fabrizio Illuminati
2006 Physical Review A. Atomic, Molecular, and Optical Physics  
We finally consider the action of decoherence on tripartite entangled Gaussian states, studying the decay of the residual contangle.  ...  This will lead us to show that pure, symmetric states allow for a promiscuous entanglement sharing, having both maximum tripartite residual entanglement and maximum couplewise entanglement between any  ...  AS acknowledges financial support from EPSRC, through the QIP-IRC.  ... 
doi:10.1103/physreva.73.032345 fatcat:jfzkmayzejcf3jipaiu6iruuke

Purified discord and multipartite entanglement

Eric G. Brown, Eric J. Webster, Eduardo Martín-Martínez, Achim Kempf
2013 Annals of Physics  
We study bipartite quantum discord as a manifestation of a multipartite entanglement structure in the tripartite purified system.  ...  Finally, our results also shed new light on a protocol for remote activation of entanglement by a third party.  ...  ACKNOWLEDGEMENTS The authors gratefully acknowledge support through NSERCs Banting, Discovery and Canada Research Chairs Programs.  ... 
doi:10.1016/j.aop.2013.06.015 fatcat:fme27lqc6feslamtlwih7lr2i4

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.  ...  One can readily provide generalizations of the above example to convince oneself that for an arbitrary number of qudits in the limit d → ∞, a fully promiscuous structure of entanglement is available (under  ... 
doi:10.1103/physreva.76.022315 fatcat:xkkrop5cgjeqvjq4lkibmbxium

Classical Analog to Entanglement Reversibility

Eric Chitambar, Ben Fortescue, Min-Hsiu Hsieh
2015 Physical Review Letters  
These distributions are more general than what is obtained by simply constructing a classical analog to the family of quantum states known to have reversible entanglement.  ...  This is the classical analog to the well-studied problem of reversibly concentrating and diluting entanglement in a quantum state.  ...  Turning back to the analogous problem of entanglement reversibility in quantum states, one might then likewise hope for a solution on the singlecopy level.  ... 
doi:10.1103/physrevlett.115.090501 pmid:26371633 fatcat:5rmfmu47mzet5offuecc3tlbxe

Entanglement measure for general pure multipartite quantum states

Hoshang Heydari, Gunnar Björk
2004 Journal of Physics A: Mathematical and General  
We propose an explicit formula for an entanglement measure of pure multipartite quantum states, then study a general pure tripartite state in detail, and at end we give some simple but illustrative examples  ...  on four-qubits and m-qubits states.  ...  Sánchez-Soto for inspiration and useful discussions. This work was supported by the Swedish Research Council (VR) and the Swedish Foundation for Strategic Research (SSF).  ... 
doi:10.1088/0305-4470/37/39/012 fatcat:sxh25o2v7nbqlbgjz5xerwyu3i

Understanding the interplay of entanglement and nonlocality: motivating and developing a new branch of entanglement theory [article]

David Schmid, Thomas C. Fraser, Ravi Kunjwal, Ana Belen Sainz, Elie Wolfe, Robert W. Spekkens
2021 arXiv   pre-print
the self-testing of entangled states which generalizes and simplifies prior results.  ...  , such as the impossibility of catalysis for bipartite pure states.  ...  Historically, the question of whether a given entangled state can generate a given nonlocal box has been interpreted as the question of whether there exists some set of quantum measurements on each wing  ... 
arXiv:2004.09194v2 fatcat:nton55epmzdizicdt4vam4josq
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