Experimental quantum homodyne tomography via machine learning

Complete characterization of states and processes that occur within quantum devices is crucial for understanding and testing their potential to outperform classical technologies for communications and computing. However, solving this task with current state-of-the-art techniques becomes unwieldy for...

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Main Authors: Tiunov, ES, Tiunova (Vyborova), VV, Ulanov, AE, Lvovsky, AI, Fedorov, AK
Format: Journal article
Language:English
Published: Optical Society of America 2020
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author Tiunov, ES
Tiunova (Vyborova), VV
Ulanov, AE
Lvovsky, AI
Fedorov, AK
author_facet Tiunov, ES
Tiunova (Vyborova), VV
Ulanov, AE
Lvovsky, AI
Fedorov, AK
author_sort Tiunov, ES
collection OXFORD
description Complete characterization of states and processes that occur within quantum devices is crucial for understanding and testing their potential to outperform classical technologies for communications and computing. However, solving this task with current state-of-the-art techniques becomes unwieldy for large and complex quantum systems. Here we realize and experimentally demonstrate a method for complete characterization of a quantum harmonic oscillator based on an artificial neural network known as the restricted Boltzmann machine. We apply the method to optical homodyne tomography and show it to allow full estimation of quantum states based on a smaller amount of experimental data compared to state-of-the-art methods. We link this advantage to reduced overfitting. Although our experiment is in the optical domain, our method provides a way of exploring quantum resources in a broad class of large-scale physical systems, such as superconducting circuits, atomic and molecular ensembles, and optomechanical systems.
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spelling oxford-uuid:8dbae052-f012-457e-81cf-6e18965cc1522022-03-26T22:53:05ZExperimental quantum homodyne tomography via machine learningJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8dbae052-f012-457e-81cf-6e18965cc152EnglishSymplectic ElementsOptical Society of America2020Tiunov, ESTiunova (Vyborova), VVUlanov, AELvovsky, AIFedorov, AKComplete characterization of states and processes that occur within quantum devices is crucial for understanding and testing their potential to outperform classical technologies for communications and computing. However, solving this task with current state-of-the-art techniques becomes unwieldy for large and complex quantum systems. Here we realize and experimentally demonstrate a method for complete characterization of a quantum harmonic oscillator based on an artificial neural network known as the restricted Boltzmann machine. We apply the method to optical homodyne tomography and show it to allow full estimation of quantum states based on a smaller amount of experimental data compared to state-of-the-art methods. We link this advantage to reduced overfitting. Although our experiment is in the optical domain, our method provides a way of exploring quantum resources in a broad class of large-scale physical systems, such as superconducting circuits, atomic and molecular ensembles, and optomechanical systems.
spellingShingle Tiunov, ES
Tiunova (Vyborova), VV
Ulanov, AE
Lvovsky, AI
Fedorov, AK
Experimental quantum homodyne tomography via machine learning
title Experimental quantum homodyne tomography via machine learning
title_full Experimental quantum homodyne tomography via machine learning
title_fullStr Experimental quantum homodyne tomography via machine learning
title_full_unstemmed Experimental quantum homodyne tomography via machine learning
title_short Experimental quantum homodyne tomography via machine learning
title_sort experimental quantum homodyne tomography via machine learning
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AT tiunovavyborovavv experimentalquantumhomodynetomographyviamachinelearning
AT ulanovae experimentalquantumhomodynetomographyviamachinelearning
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AT fedorovak experimentalquantumhomodynetomographyviamachinelearning