Machine-learning-based device-independent certification of quantum networks

Witnessing nonclassical behavior is a crucial ingredient in quantum information processing. For that, one has to optimize the quantum features a given physical setup can give rise to, which is a hard computational task currently tackled with semidefinite programming, a method limited to linear objec...

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Main Authors: Nicola D'Alessandro, Beatrice Polacchi, George Moreno, Emanuele Polino, Rafael Chaves, Iris Agresti, Fabio Sciarrino
Format: Article
Language:English
Published: American Physical Society 2023-04-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.5.023016
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author Nicola D'Alessandro
Beatrice Polacchi
George Moreno
Emanuele Polino
Rafael Chaves
Iris Agresti
Fabio Sciarrino
author_facet Nicola D'Alessandro
Beatrice Polacchi
George Moreno
Emanuele Polino
Rafael Chaves
Iris Agresti
Fabio Sciarrino
author_sort Nicola D'Alessandro
collection DOAJ
description Witnessing nonclassical behavior is a crucial ingredient in quantum information processing. For that, one has to optimize the quantum features a given physical setup can give rise to, which is a hard computational task currently tackled with semidefinite programming, a method limited to linear objective functions and that becomes prohibitive as the complexity of the system grows. Here, we propose an alternative strategy, which exploits a feedforward artificial neural network to optimize the correlations compatible with arbitrary quantum networks. A remarkable step forward with respect to existing methods is that it deals with nonlinear optimization constraints and objective functions, being applicable to scenarios featuring independent sources and nonlinear entanglement witnesses. Furthermore, it offers a significant speedup in comparison with other approaches, thus allowing to explore previously inaccessible regimes. We also extend the use of the neural network to the experimental realm, a situation in which the statistics are unavoidably affected by imperfections, retrieving device-independent uncertainty estimates on Bell-like violations obtained with independent sources of entangled photon states. In this way, this work paves the way for the certification of quantum resources in networks of growing size and complexity.
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spelling doaj.art-bc08ddc39f354f4d83da01b0e4ba47ae2024-04-12T17:30:01ZengAmerican Physical SocietyPhysical Review Research2643-15642023-04-015202301610.1103/PhysRevResearch.5.023016Machine-learning-based device-independent certification of quantum networksNicola D'AlessandroBeatrice PolacchiGeorge MorenoEmanuele PolinoRafael ChavesIris AgrestiFabio SciarrinoWitnessing nonclassical behavior is a crucial ingredient in quantum information processing. For that, one has to optimize the quantum features a given physical setup can give rise to, which is a hard computational task currently tackled with semidefinite programming, a method limited to linear objective functions and that becomes prohibitive as the complexity of the system grows. Here, we propose an alternative strategy, which exploits a feedforward artificial neural network to optimize the correlations compatible with arbitrary quantum networks. A remarkable step forward with respect to existing methods is that it deals with nonlinear optimization constraints and objective functions, being applicable to scenarios featuring independent sources and nonlinear entanglement witnesses. Furthermore, it offers a significant speedup in comparison with other approaches, thus allowing to explore previously inaccessible regimes. We also extend the use of the neural network to the experimental realm, a situation in which the statistics are unavoidably affected by imperfections, retrieving device-independent uncertainty estimates on Bell-like violations obtained with independent sources of entangled photon states. In this way, this work paves the way for the certification of quantum resources in networks of growing size and complexity.http://doi.org/10.1103/PhysRevResearch.5.023016
spellingShingle Nicola D'Alessandro
Beatrice Polacchi
George Moreno
Emanuele Polino
Rafael Chaves
Iris Agresti
Fabio Sciarrino
Machine-learning-based device-independent certification of quantum networks
Physical Review Research
title Machine-learning-based device-independent certification of quantum networks
title_full Machine-learning-based device-independent certification of quantum networks
title_fullStr Machine-learning-based device-independent certification of quantum networks
title_full_unstemmed Machine-learning-based device-independent certification of quantum networks
title_short Machine-learning-based device-independent certification of quantum networks
title_sort machine learning based device independent certification of quantum networks
url http://doi.org/10.1103/PhysRevResearch.5.023016
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