Cost function dependent barren plateaus in shallow parametrized quantum circuits

Parametrised quantum circuits are a promising hybrid classical-quantum approach, but rigorous results on their effective capabilities are rare. Here, the authors explore the feasibility of training depending on the type of cost functions, showing that local ones are less prone to the barren plateau...

Full description

Bibliographic Details
Main Authors: M. Cerezo, Akira Sone, Tyler Volkoff, Lukasz Cincio, Patrick J. Coles
Format: Article
Language:English
Published: Nature Portfolio 2021-03-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-021-21728-w
_version_ 1818432767972605952
author M. Cerezo
Akira Sone
Tyler Volkoff
Lukasz Cincio
Patrick J. Coles
author_facet M. Cerezo
Akira Sone
Tyler Volkoff
Lukasz Cincio
Patrick J. Coles
author_sort M. Cerezo
collection DOAJ
description Parametrised quantum circuits are a promising hybrid classical-quantum approach, but rigorous results on their effective capabilities are rare. Here, the authors explore the feasibility of training depending on the type of cost functions, showing that local ones are less prone to the barren plateau problem.
first_indexed 2024-12-14T16:10:26Z
format Article
id doaj.art-67c953c46a9f47489de299e3a555628e
institution Directory Open Access Journal
issn 2041-1723
language English
last_indexed 2024-12-14T16:10:26Z
publishDate 2021-03-01
publisher Nature Portfolio
record_format Article
series Nature Communications
spelling doaj.art-67c953c46a9f47489de299e3a555628e2022-12-21T22:55:00ZengNature PortfolioNature Communications2041-17232021-03-0112111210.1038/s41467-021-21728-wCost function dependent barren plateaus in shallow parametrized quantum circuitsM. Cerezo0Akira Sone1Tyler Volkoff2Lukasz Cincio3Patrick J. Coles4Theoretical Division, Los Alamos National LaboratoryTheoretical Division, Los Alamos National LaboratoryTheoretical Division, Los Alamos National LaboratoryTheoretical Division, Los Alamos National LaboratoryTheoretical Division, Los Alamos National LaboratoryParametrised quantum circuits are a promising hybrid classical-quantum approach, but rigorous results on their effective capabilities are rare. Here, the authors explore the feasibility of training depending on the type of cost functions, showing that local ones are less prone to the barren plateau problem.https://doi.org/10.1038/s41467-021-21728-w
spellingShingle M. Cerezo
Akira Sone
Tyler Volkoff
Lukasz Cincio
Patrick J. Coles
Cost function dependent barren plateaus in shallow parametrized quantum circuits
Nature Communications
title Cost function dependent barren plateaus in shallow parametrized quantum circuits
title_full Cost function dependent barren plateaus in shallow parametrized quantum circuits
title_fullStr Cost function dependent barren plateaus in shallow parametrized quantum circuits
title_full_unstemmed Cost function dependent barren plateaus in shallow parametrized quantum circuits
title_short Cost function dependent barren plateaus in shallow parametrized quantum circuits
title_sort cost function dependent barren plateaus in shallow parametrized quantum circuits
url https://doi.org/10.1038/s41467-021-21728-w
work_keys_str_mv AT mcerezo costfunctiondependentbarrenplateausinshallowparametrizedquantumcircuits
AT akirasone costfunctiondependentbarrenplateausinshallowparametrizedquantumcircuits
AT tylervolkoff costfunctiondependentbarrenplateausinshallowparametrizedquantumcircuits
AT lukaszcincio costfunctiondependentbarrenplateausinshallowparametrizedquantumcircuits
AT patrickjcoles costfunctiondependentbarrenplateausinshallowparametrizedquantumcircuits