Converting multilevel nonclassicality into genuine multipartite entanglement

Characterizing genuine quantum resources and determining operational rules for their manipulation are crucial steps to appraise possibilities and limitations of quantum technologies. Two such key resources are nonclassicality, manifested as quantum superposition between reference states of a single...

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Main Authors: Regula, Bartosz, Piani, Marco, Cianciaruso, Marco, Bromley, Thomas R., Streltsov, Alexander, Adesso, Gerardo
Format: Article
Language:English
Published: IOP Publishing 2018
Online Access:https://eprints.nottingham.ac.uk/50165/
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author Regula, Bartosz
Piani, Marco
Cianciaruso, Marco
Bromley, Thomas R.
Streltsov, Alexander
Adesso, Gerardo
author_facet Regula, Bartosz
Piani, Marco
Cianciaruso, Marco
Bromley, Thomas R.
Streltsov, Alexander
Adesso, Gerardo
author_sort Regula, Bartosz
building Nottingham Research Data Repository
collection Online Access
description Characterizing genuine quantum resources and determining operational rules for their manipulation are crucial steps to appraise possibilities and limitations of quantum technologies. Two such key resources are nonclassicality, manifested as quantum superposition between reference states of a single system, and entanglement, capturing quantum correlations among two or more subsystems. Here we present a general formalism for the conversion of nonclassicality into multipartite entanglement, showing that a faithful reversible transformation between the two resources is always possible within a precise resource-theoretic framework. Specializing to quantum coherence between the levels of a quantum system as an instance of nonclassicality, we introduce explicit protocols for such a mapping. We further show that the conversion relates multilevel coherence and multipartite entanglement not only qualitatively, but also quantitatively, restricting the amount of entanglement achievable in the process and in particular yielding an equality between the two resources when quantified by fidelity-based geometric measures.
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spelling nottingham-501652018-04-05T09:16:17Z https://eprints.nottingham.ac.uk/50165/ Converting multilevel nonclassicality into genuine multipartite entanglement Regula, Bartosz Piani, Marco Cianciaruso, Marco Bromley, Thomas R. Streltsov, Alexander Adesso, Gerardo Characterizing genuine quantum resources and determining operational rules for their manipulation are crucial steps to appraise possibilities and limitations of quantum technologies. Two such key resources are nonclassicality, manifested as quantum superposition between reference states of a single system, and entanglement, capturing quantum correlations among two or more subsystems. Here we present a general formalism for the conversion of nonclassicality into multipartite entanglement, showing that a faithful reversible transformation between the two resources is always possible within a precise resource-theoretic framework. Specializing to quantum coherence between the levels of a quantum system as an instance of nonclassicality, we introduce explicit protocols for such a mapping. We further show that the conversion relates multilevel coherence and multipartite entanglement not only qualitatively, but also quantitatively, restricting the amount of entanglement achievable in the process and in particular yielding an equality between the two resources when quantified by fidelity-based geometric measures. IOP Publishing 2018-03-26 Article PeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/50165/8/Regula_2018_New_J._Phys._20_033012.pdf Regula, Bartosz, Piani, Marco, Cianciaruso, Marco, Bromley, Thomas R., Streltsov, Alexander and Adesso, Gerardo (2018) Converting multilevel nonclassicality into genuine multipartite entanglement. New Journal of Physics, 20 . 033012/1-033012/13. ISSN 1367-2630 http://iopscience.iop.org/article/10.1088/1367-2630/aaae9d/meta doi:10.1088/1367-2630/aaae9d doi:10.1088/1367-2630/aaae9d
spellingShingle Regula, Bartosz
Piani, Marco
Cianciaruso, Marco
Bromley, Thomas R.
Streltsov, Alexander
Adesso, Gerardo
Converting multilevel nonclassicality into genuine multipartite entanglement
title Converting multilevel nonclassicality into genuine multipartite entanglement
title_full Converting multilevel nonclassicality into genuine multipartite entanglement
title_fullStr Converting multilevel nonclassicality into genuine multipartite entanglement
title_full_unstemmed Converting multilevel nonclassicality into genuine multipartite entanglement
title_short Converting multilevel nonclassicality into genuine multipartite entanglement
title_sort converting multilevel nonclassicality into genuine multipartite entanglement
url https://eprints.nottingham.ac.uk/50165/
https://eprints.nottingham.ac.uk/50165/
https://eprints.nottingham.ac.uk/50165/