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

2005
*
Physical Review A. Atomic, Molecular, and Optical Physics
*

We investigate

doi:10.1103/physreva.72.042325
fatcat:nn2dhpdgkjeuhph63efgsp2zsy
*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. ...##
###
Tripartite entanglement and quantum relative entropy

2000
*
Journal of Physics A: Mathematical and General
*

Our results pertain to

doi:10.1088/0305-4470/33/48/316
fatcat:clirggnkk5csxfup27tv63g2ga
*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*. ...##
###
Reversible Combination of Inequivalent Kinds of Multipartite Entanglement

2000
*
Physical Review Letters
*

More

doi:10.1103/physrevlett.85.658
pmid:10991364
fatcat:d7p4m2x3gjahvpjy5tosig2yk4
*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*. ...##
###
Quantum Prisoners' Dilemma under Enhanced Interrogation
[article]

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*. ...

##
###
Quantum prisoners' dilemma under enhanced interrogation

2018
*
Quantum Information Processing
*

In

doi:10.1007/s11128-018-1915-9
fatcat:6pvr3rvudzdnnn3ofgjworclea
*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*. ...##
###
Structural change in multipartite entanglement sharing: A random matrix approach

2009
*
Physical Review A. Atomic, Molecular, and Optical Physics
*

Under

doi:10.1103/physreva.80.062315
fatcat:c37xmt63gnevjd7bhk5u5tvhve
*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*. ...##
###
Distillation of Greenberger-Horne-Zeilinger States by Selective Information Manipulation

2000
*
Physical Review Letters
*

Methods

doi:10.1103/physrevlett.84.5908
pmid:10991085
fatcat:v2f465nirng37dnzgknvhwrvaa
*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*. ...##
###
Publisher's Note: Multiparticle entanglement under asymptotic positive-partial-transpose-preserving operations [Phys. Rev.72, 042325 (2005)]

2005
*
Physical Review A. Atomic, Molecular, and Optical Physics
*

We investigate

doi:10.1103/physreva.72.059907
fatcat:3llfqyistvdhxf6vldqxcemwiy
*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. ...##
###
Optical state engineering, quantum communication, and robustness of entanglement promiscuity in three-mode Gaussian states

2007
*
New Journal of Physics
*

We present

doi:10.1088/1367-2630/9/3/060
fatcat:kiaenwzqsbelzhhsw7y7hghstu
*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 . ...##
###
Multipartite entanglement in three-mode Gaussian states of continuous-variable systems: Quantification, sharing structure, and decoherence

2006
*
Physical Review A. Atomic, Molecular, and Optical Physics
*

We finally consider

doi:10.1103/physreva.73.032345
fatcat:jfzkmayzejcf3jipaiu6iruuke
*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. ...##
###
Purified discord and multipartite entanglement

2013
*
Annals of Physics
*

We study bipartite quantum discord as

doi:10.1016/j.aop.2013.06.015
fatcat:fme27lqc6feslamtlwih7lr2i4
*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. ...##
###
Coexistence of unlimited bipartite and genuine multipartite entanglement: Promiscuous quantum correlations arising from discrete to continuous-variable systems

2007
*
Physical Review A. Atomic, Molecular, and Optical Physics
*

Quantum mechanics imposes 'monogamy' constraints

doi:10.1103/physreva.76.022315
fatcat:xkkrop5cgjeqvjq4lkibmbxium
*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 ...##
###
Classical Analog to Entanglement Reversibility

2015
*
Physical Review Letters
*

These distributions are more

doi:10.1103/physrevlett.115.090501
pmid:26371633
fatcat:5rmfmu47mzet5offuecc3tlbxe
*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. ...##
###
Entanglement measure for general pure multipartite quantum states

2004
*
Journal of Physics A: Mathematical and General
*

We propose an explicit formula

doi:10.1088/0305-4470/37/39/012
fatcat:sxh25o2v7nbqlbgjz5xerwyu3i
*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). ...##
###
Understanding the interplay of entanglement and nonlocality: motivating and developing a new branch of entanglement theory
[article]

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 ...

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