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Witnessing Entanglement In Compton Scattering Processes Via Mutually Unbiased Bases

We present a quantum information theoretic version of the Klein-Nishina formula. This formulation singles out the quantity, the a priori visibility, that quantifies the ability to deduce the polarisation property of single photons. The Kraus-type structure allows a straightforward generalisation to...

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Autores principales: Hiesmayr, Beatrix C., Moskal, Pawel
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6546736/
https://www.ncbi.nlm.nih.gov/pubmed/31160617
http://dx.doi.org/10.1038/s41598-019-44570-z
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author Hiesmayr, Beatrix C.
Moskal, Pawel
author_facet Hiesmayr, Beatrix C.
Moskal, Pawel
author_sort Hiesmayr, Beatrix C.
collection PubMed
description We present a quantum information theoretic version of the Klein-Nishina formula. This formulation singles out the quantity, the a priori visibility, that quantifies the ability to deduce the polarisation property of single photons. The Kraus-type structure allows a straightforward generalisation to the multiphoton cases, relevant in the decay of positronium which is utilized e.g. for metabolic PET-imaging (Positron- Emission- Tomograph). Predicted by theory but never experimentally proven, the two- or three-photon states should be entangled. We provide an experimentally feasible method to witness entanglement for these processes via MUBs (Mutually Unbiased Bases), exploiting Bohr’s complementarity. Last but not least we present explicit cases exemplifying the interrelation of geometry and entanglement including relations to its potentiality for teleportation schemes or Bell inequality violations or in future for detecting cancer in human beings.
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spelling pubmed-65467362019-06-10 Witnessing Entanglement In Compton Scattering Processes Via Mutually Unbiased Bases Hiesmayr, Beatrix C. Moskal, Pawel Sci Rep Article We present a quantum information theoretic version of the Klein-Nishina formula. This formulation singles out the quantity, the a priori visibility, that quantifies the ability to deduce the polarisation property of single photons. The Kraus-type structure allows a straightforward generalisation to the multiphoton cases, relevant in the decay of positronium which is utilized e.g. for metabolic PET-imaging (Positron- Emission- Tomograph). Predicted by theory but never experimentally proven, the two- or three-photon states should be entangled. We provide an experimentally feasible method to witness entanglement for these processes via MUBs (Mutually Unbiased Bases), exploiting Bohr’s complementarity. Last but not least we present explicit cases exemplifying the interrelation of geometry and entanglement including relations to its potentiality for teleportation schemes or Bell inequality violations or in future for detecting cancer in human beings. Nature Publishing Group UK 2019-06-03 /pmc/articles/PMC6546736/ /pubmed/31160617 http://dx.doi.org/10.1038/s41598-019-44570-z Text en © The Author(s) 2019 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Hiesmayr, Beatrix C.
Moskal, Pawel
Witnessing Entanglement In Compton Scattering Processes Via Mutually Unbiased Bases
title Witnessing Entanglement In Compton Scattering Processes Via Mutually Unbiased Bases
title_full Witnessing Entanglement In Compton Scattering Processes Via Mutually Unbiased Bases
title_fullStr Witnessing Entanglement In Compton Scattering Processes Via Mutually Unbiased Bases
title_full_unstemmed Witnessing Entanglement In Compton Scattering Processes Via Mutually Unbiased Bases
title_short Witnessing Entanglement In Compton Scattering Processes Via Mutually Unbiased Bases
title_sort witnessing entanglement in compton scattering processes via mutually unbiased bases
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6546736/
https://www.ncbi.nlm.nih.gov/pubmed/31160617
http://dx.doi.org/10.1038/s41598-019-44570-z
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