Constructing genuinely entangled multipartite states with applications to local hidden variables and local hidden states models

Remigiusz Augusiak; Maciej Demianowicz; J. Tura

doi:10.1103/physreva.98.012321

Constructing genuinely entangled multipartite states with applications to local hidden variables and local hidden states models

Abstract

Building upon the results of R. Augusiak et al. [Phys. Rev. Lett. 115, 030404 (2015)] we develop a general approach to the generation of genuinely entangled multipartite states of any number of parties from genuinely entangled states of a fixed number of parties, in particular, the bipartite entangled ones. In our approach, certain isometries whose output subspaces are either symmetric or genuinely entangled in some multipartite Hilbert spaces are applied to local subsystems of bipartite entangled or multipartite genuinely entangled quantum states. To prove that entanglement of the resulting states is indeed genuine we then introduce criteria allowing us to decide it efficiently. The construction is then exploited to provide examples of multipartite states that are genuinely entangled but not genuinely nonlocal, giving further illustration for the inequivalence between entanglement and nonlocality in the multiparticle scenario. It is also shown how to construct genuinely entangled states which are unsteerable across certain bipartite cuts

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Authors (3)

Remigiusz Augusiak
- Centrum Fizyki Teoretycznej PAN
Maciej Demianowicz dr hab. inż.
J. Tura
- Max Planck Institut fur Quantenoptik

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Publication version: Accepted or Published Version
License: Copyright (2018 American Physical Society)

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: PHYSICAL REVIEW A no. 98, edition 1, pages 1 - 13,
ISSN: 2469-9926
Language:: English
Publication year:: 2018
Bibliographic description:: Augusiak R., Demianowicz M., Tura J.: Constructing genuinely entangled multipartite states with applications to local hidden variables and local hidden states models// PHYSICAL REVIEW A. -Vol. 98, iss. 1 (2018), s.1-13
DOI:: Digital Object Identifier (open in new tab) 10.1103/physreva.98.012321
Verified by:: Gdańsk University of Technology