About: No-activation theorem for Gaussian nonclassical correlations by Gaussian operations

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About: No-activation theorem for Gaussian nonclassical correlations by Gaussian operations Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://journals.aps.org/pra/pdf/10.1103/PhysRevA.90.022328
Description	We study general quantum correlations of continuous variable Gaussian states and their interplay with entanglement. Specifically, we investigate the existence of a quantum protocol activating all nonclassical correlations between the subsystems of an input bipartite continuous variable system, into output entanglement between the system and a set of ancillae. For input Gaussian states, we prove that such an activation protocol cannot be accomplished with Gaussian operations, as the latter are unable to create any output entanglement from an initial separable yet nonclassical state in a worst-case scenario. We then construct a faithful non-Gaussian activation protocol, encompassing infinite-dimensional generalizations of controlled-NOT gates to generate entanglement between system and ancillae, in direct analogy with the finite-dimensional case. We finally calculate the negativity of quantumness, an operational measure of nonclassical correlations defined in terms of the performance of the activation protocol, for relevant classes of two-mode Gaussian states. We study general quantum correlations of continuous variable Gaussian states and their interplay with entanglement. Specifically, we investigate the existence of a quantum protocol activating all nonclassical correlations between the subsystems of an input bipartite continuous variable system, into output entanglement between the system and a set of ancillae. For input Gaussian states, we prove that such an activation protocol cannot be accomplished with Gaussian operations, as the latter are unable to create any output entanglement from an initial separable yet nonclassical state in a worst-case scenario. We then construct a faithful non-Gaussian activation protocol, encompassing infinite-dimensional generalizations of controlled-NOT gates to generate entanglement between system and ancillae, in direct analogy with the finite-dimensional case. We finally calculate the negativity of quantumness, an operational measure of nonclassical correlations defined in terms of the performance of the activation protocol, for relevant classes of two-mode Gaussian states. (en)
Title	No-activation theorem for Gaussian nonclassical correlations by Gaussian operations No-activation theorem for Gaussian nonclassical correlations by Gaussian operations (en)
skos:prefLabel	No-activation theorem for Gaussian nonclassical correlations by Gaussian operations No-activation theorem for Gaussian nonclassical correlations by Gaussian operations (en)
skos:notation	RIV/61989592:15310/14:33149981!RIV15-MSM-15310___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(EE2.3.20.0060), P(GAP205/12/0694)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Mišta, Ladislav Mcnulty, Daniel
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	32678
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/14:33149981
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	discord; entanglement; separability criterion; continuous-variable systems (en)
http://linked.open.../riv/klicoveSlovo	entanglement separability criterion continuous-variable systems discord
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[A9D70D4131C8]
http://linked.open...i/riv/nazevZdroje	Physical Review A
http://linked.open...in/vavai/riv/obor	BH
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Complex quantum correlations and their applications International Centre for Information and Uncertainty
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	90
http://linked.open...iv/tvurceVysledku	Mišta, Ladislav Adesso, Gerardo Mcnulty, Daniel
http://linked.open...ain/vavai/riv/wos	000341260700008
issn	1050-2947
number of pages	9 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevA.90.022328
http://localhost/t...ganizacniJednotka	15310

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