Complementarity reveals bound entanglement of two twisted photons

We demonstrate the detection of bipartite bound entanglement as predicted by the Horodecki's in 1998. Bound entangled states, being heavily mixed entangled quantum states, can be produced by incoherent addition of pure entangled states. Until 1998 it was thought that such mixing could always be...

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Main Authors: Beatrix C Hiesmayr, Wolfgang Löffler
Format: Article
Language:English
Published: IOP Publishing 2013-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/15/8/083036
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author Beatrix C Hiesmayr
Wolfgang Löffler
author_facet Beatrix C Hiesmayr
Wolfgang Löffler
author_sort Beatrix C Hiesmayr
collection DOAJ
description We demonstrate the detection of bipartite bound entanglement as predicted by the Horodecki's in 1998. Bound entangled states, being heavily mixed entangled quantum states, can be produced by incoherent addition of pure entangled states. Until 1998 it was thought that such mixing could always be reversed by entanglement distillation; however, this turned out to be impossible for bound entangled states. The purest form of bound entanglement is that of only two particles, which requires higher-dimensional ( d  > 2) quantum systems. We realize this using photon qutrit ( d  = 3) pairs produced by spontaneous parametric downconversion, that are entangled in the orbital angular momentum degrees of freedom, which is scalable to high dimensions. Entanglement of the photons is confirmed via a ‘maximum complementarity protocol’. This conceptually simple protocol requires only maximized complementary of measurement bases; we show that it can also detect bound entanglement. We explore the bipartite qutrit space and find that, also experimentally, a significant portion of the entangled states are actually bound entangled.
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spelling doaj.art-a9f9f30ba906402f95cb3c94b54b044b2023-08-08T11:29:51ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115808303610.1088/1367-2630/15/8/083036Complementarity reveals bound entanglement of two twisted photonsBeatrix C Hiesmayr0Wolfgang Löffler1Institute of Theoretical Physics and Astrophysics, Masaryk University , Kotlářaská 2, 61137 Brno, Czech Republic; University of Vienna , Faculty of Physics, Boltzmanngasse 5, A-1090 Vienna, AustriaLeiden University , Quantum Optics and Quantum Information, PO Box 9500, 2300-RA Leiden, NetherlandsWe demonstrate the detection of bipartite bound entanglement as predicted by the Horodecki's in 1998. Bound entangled states, being heavily mixed entangled quantum states, can be produced by incoherent addition of pure entangled states. Until 1998 it was thought that such mixing could always be reversed by entanglement distillation; however, this turned out to be impossible for bound entangled states. The purest form of bound entanglement is that of only two particles, which requires higher-dimensional ( d  > 2) quantum systems. We realize this using photon qutrit ( d  = 3) pairs produced by spontaneous parametric downconversion, that are entangled in the orbital angular momentum degrees of freedom, which is scalable to high dimensions. Entanglement of the photons is confirmed via a ‘maximum complementarity protocol’. This conceptually simple protocol requires only maximized complementary of measurement bases; we show that it can also detect bound entanglement. We explore the bipartite qutrit space and find that, also experimentally, a significant portion of the entangled states are actually bound entangled.https://doi.org/10.1088/1367-2630/15/8/083036
spellingShingle Beatrix C Hiesmayr
Wolfgang Löffler
Complementarity reveals bound entanglement of two twisted photons
New Journal of Physics
title Complementarity reveals bound entanglement of two twisted photons
title_full Complementarity reveals bound entanglement of two twisted photons
title_fullStr Complementarity reveals bound entanglement of two twisted photons
title_full_unstemmed Complementarity reveals bound entanglement of two twisted photons
title_short Complementarity reveals bound entanglement of two twisted photons
title_sort complementarity reveals bound entanglement of two twisted photons
url https://doi.org/10.1088/1367-2630/15/8/083036
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AT wolfgangloffler complementarityrevealsboundentanglementoftwotwistedphotons