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Article: Several trade off features of quantum steering in distributed scenario

TitleSeveral trade off features of quantum steering in distributed scenario
Authors
KeywordsQuantum Information
Issue Date2019
PublisherSpringer. The Journal's web site is located at http://epjd.edpsciences.org
Citation
The European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics, 2019, v. 73 n. 4, p. article no. 66 How to Cite?
AbstractIn the present work we address the question of how bipartite steering violation takes place among multi-partite systems (where each sub-system have Hilbert space dimension restricted to two) based on the maximal violations of the bipartite steering inequality of the reduced pairwise qubit systems. We have derived a trade-off relation which is satisfied by those pair wise bipartite maximal steering violations, which physically can be understood as providing restrictions on the distribution of steering among sub systems. For a three-qubit system, it is impossible that all pairs of qubits violate the steering inequality, and once a pair of qubits violates the steering inequality maximally, the other two pairs of qubits must both obey the steering inequality. We also present a complementarity relation between genuine entanglement present in a tripartite state and maximum bipartite steering violation by its reduced states.
Persistent Identifierhttp://hdl.handle.net/10722/278772
ISSN
2019 Impact Factor: 1.366
2015 SCImago Journal Rankings: 0.475

 

DC FieldValueLanguage
dc.contributor.authorRoy, A-
dc.contributor.authorBhattacharya, SS-
dc.contributor.authorMukerjee, A-
dc.contributor.authorGanguly, N-
dc.contributor.authorPaul, B-
dc.contributor.authorMukerjee, K-
dc.date.accessioned2019-10-21T02:13:47Z-
dc.date.available2019-10-21T02:13:47Z-
dc.date.issued2019-
dc.identifier.citationThe European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics, 2019, v. 73 n. 4, p. article no. 66-
dc.identifier.issn1434-6060-
dc.identifier.urihttp://hdl.handle.net/10722/278772-
dc.description.abstractIn the present work we address the question of how bipartite steering violation takes place among multi-partite systems (where each sub-system have Hilbert space dimension restricted to two) based on the maximal violations of the bipartite steering inequality of the reduced pairwise qubit systems. We have derived a trade-off relation which is satisfied by those pair wise bipartite maximal steering violations, which physically can be understood as providing restrictions on the distribution of steering among sub systems. For a three-qubit system, it is impossible that all pairs of qubits violate the steering inequality, and once a pair of qubits violates the steering inequality maximally, the other two pairs of qubits must both obey the steering inequality. We also present a complementarity relation between genuine entanglement present in a tripartite state and maximum bipartite steering violation by its reduced states.-
dc.languageeng-
dc.publisherSpringer. The Journal's web site is located at http://epjd.edpsciences.org-
dc.relation.ispartofThe European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics-
dc.rightsThis is a post-peer-review, pre-copyedit version of an article published in [The European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics, 2019, v. 73 n. 4, p. article no. 66]. The final authenticated version is available online at: https://doi.org/10.1140/epjd/e2019-90184-3-
dc.subjectQuantum Information-
dc.titleSeveral trade off features of quantum steering in distributed scenario-
dc.typeArticle-
dc.identifier.emailBhattacharya, SS: some@hku.hk-
dc.description.naturepostprint-
dc.identifier.doi10.1140/epjd/e2019-90184-3-
dc.identifier.scopuseid_2-s2.0-85063939525-
dc.identifier.hkuros307685-
dc.identifier.volume73-
dc.identifier.issue4-
dc.identifier.spagearticle no. 66-
dc.identifier.epagearticle no. 66-
dc.publisher.placeGermany-

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