Full multipartite steering inseparability, genuine multipartite steering, and monogamy for continuous-variable systems

Teh, Run Yan and Gessner, Manuel and Reid, Margaret D. and Fadel, Matteo. (2022) Full multipartite steering inseparability, genuine multipartite steering, and monogamy for continuous-variable systems. Physical Review A, 105. 012202.

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Official URL: https://edoc.unibas.ch/87543/

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We derive inequalities sufficient to detect the genuine N-partite steering of N distinct systems. Here, we are careful to distinguish between the concepts of full N-partite steering inseparability (where steering is confirmed individually for all bipartitions of the N systems, thus negating the bilocal hidden state model for each bipartition) and genuine N-partite steering (which excludes all convex combinations of the bilocal hidden state models). Other definitions of multipartite steering are possible and we also derive inequalities to detect a stricter genuine N-partite steering where only
one site needs to be trusted. The inequalities are expressed as variances of quadrature phase amplitudes and thus apply to continuous variable systems. We show how genuine N-partite steerable states can be created and detected for the nodes of a network formed from a single-mode squeezed state passed through a sequence of N − 1 beam splitters. A stronger genuine N-partite steering is created, if one uses two squeezed inputs, or N squeezed inputs. We are able to confirm that genuine tripartite steering (by the above definition and by the stricter definition) has been realised experimentally. Finally, we analyze how bipartite steering and entanglement are distributed among the systems in the tripartite case, illustrating with monogamy inequalities. While we use Gaussian states to benchmark the criteria, the inequalities derived in this paper are not based on the
assumption of Gaussian states, which gives advantage for quantum communication protocols.
Faculties and Departments:05 Faculty of Science > Departement Physik > Physik > Experimentelle Nanophysik (Treutlein)
UniBasel Contributors:Fadel, Matteo
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:American Physical Society
Note:Publication type according to Uni Basel Research Database: Journal article -- Additional publication or translation in: https://arxiv.org/abs/2108.06926
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Last Modified:13 Apr 2022 09:34
Deposited On:13 Apr 2022 09:34

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