Experimental investigation on the geometry of GHZ states

Abstract Greenberger-Horne-Zeilinger (GHZ) states and their mixtures exhibit fascinating properties. A complete basis of GHZ states can be constructed by properly choosing local basis rotations. We demonstrate this experimentally for the Hilbert space $${{\mathbb{C}}}_{2}^{\otimes 4}$$ ℂ 2 ⊗ 4 by en...

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Autores principales:	Gonzalo Carvacho, Francesco Graffitti, Vincenzo D’Ambrosio, Beatrix C. Hiesmayr, Fabio Sciarrino
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/4c53e9f3b6284175b7c9bf2d90eb071c
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spelling	oai:doaj.org-article:4c53e9f3b6284175b7c9bf2d90eb071c2021-12-02T15:05:41ZExperimental investigation on the geometry of GHZ states10.1038/s41598-017-13124-62045-2322https://doaj.org/article/4c53e9f3b6284175b7c9bf2d90eb071c2017-10-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-13124-6https://doaj.org/toc/2045-2322Abstract Greenberger-Horne-Zeilinger (GHZ) states and their mixtures exhibit fascinating properties. A complete basis of GHZ states can be constructed by properly choosing local basis rotations. We demonstrate this experimentally for the Hilbert space $${{\mathbb{C}}}_{2}^{\otimes 4}$$ ℂ 2 ⊗ 4 by entangling two photons in polarization and orbital angular momentum. Mixing GHZ states unmasks different entanglement features based on their particular local geometrical connectedness. In particular, a specific GHZ state in a complete orthonormal basis has a “twin” GHZ state for which equally mixing leads to full separability in opposition to any other basis-state. Exploiting these local geometrical relations provides a toolbox for generating specific types of multipartite entanglement, each providing different benefits in outperforming classical devices. Our experiment investigates these GHZ’s properties exploiting the HMGH framework which allows us to study the geometry for the different depths of entanglement in our system and showing a good stability and fidelity thus admitting a scaling in degrees of freedom and advanced operational manipulations.Gonzalo CarvachoFrancesco GraffittiVincenzo D’AmbrosioBeatrix C. HiesmayrFabio SciarrinoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Gonzalo Carvacho Francesco Graffitti Vincenzo D’Ambrosio Beatrix C. Hiesmayr Fabio Sciarrino Experimental investigation on the geometry of GHZ states
description	Abstract Greenberger-Horne-Zeilinger (GHZ) states and their mixtures exhibit fascinating properties. A complete basis of GHZ states can be constructed by properly choosing local basis rotations. We demonstrate this experimentally for the Hilbert space $${{\mathbb{C}}}_{2}^{\otimes 4}$$ ℂ 2 ⊗ 4 by entangling two photons in polarization and orbital angular momentum. Mixing GHZ states unmasks different entanglement features based on their particular local geometrical connectedness. In particular, a specific GHZ state in a complete orthonormal basis has a “twin” GHZ state for which equally mixing leads to full separability in opposition to any other basis-state. Exploiting these local geometrical relations provides a toolbox for generating specific types of multipartite entanglement, each providing different benefits in outperforming classical devices. Our experiment investigates these GHZ’s properties exploiting the HMGH framework which allows us to study the geometry for the different depths of entanglement in our system and showing a good stability and fidelity thus admitting a scaling in degrees of freedom and advanced operational manipulations.
format	article
author	Gonzalo Carvacho Francesco Graffitti Vincenzo D’Ambrosio Beatrix C. Hiesmayr Fabio Sciarrino
author_facet	Gonzalo Carvacho Francesco Graffitti Vincenzo D’Ambrosio Beatrix C. Hiesmayr Fabio Sciarrino
author_sort	Gonzalo Carvacho
title	Experimental investigation on the geometry of GHZ states
title_short	Experimental investigation on the geometry of GHZ states
title_full	Experimental investigation on the geometry of GHZ states
title_fullStr	Experimental investigation on the geometry of GHZ states
title_full_unstemmed	Experimental investigation on the geometry of GHZ states
title_sort	experimental investigation on the geometry of ghz states
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/4c53e9f3b6284175b7c9bf2d90eb071c
work_keys_str_mv	AT gonzalocarvacho experimentalinvestigationonthegeometryofghzstates AT francescograffitti experimentalinvestigationonthegeometryofghzstates AT vincenzodambrosio experimentalinvestigationonthegeometryofghzstates AT beatrixchiesmayr experimentalinvestigationonthegeometryofghzstates AT fabiosciarrino experimentalinvestigationonthegeometryofghzstates
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Experimental investigation on the geometry of GHZ states

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