Quantum algorithms for topological and geometric analysis of data
Persistent homology allows identification of topological features in data sets, allowing the efficient extraction of useful information. Here, the authors propose a quantum machine learning algorithm that provides an exponential speed up over known algorithms for topological data analysis.
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Nature Portfolio
2016
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oai:doaj.org-article:70f1e67b437a4e34a6db16ebd4c0eb3d2021-12-02T14:39:29ZQuantum algorithms for topological and geometric analysis of data10.1038/ncomms101382041-1723https://doaj.org/article/70f1e67b437a4e34a6db16ebd4c0eb3d2016-01-01T00:00:00Zhttps://doi.org/10.1038/ncomms10138https://doaj.org/toc/2041-1723Persistent homology allows identification of topological features in data sets, allowing the efficient extraction of useful information. Here, the authors propose a quantum machine learning algorithm that provides an exponential speed up over known algorithms for topological data analysis.Seth LloydSilvano GarneronePaolo ZanardiNature PortfolioarticleScienceQENNature Communications, Vol 7, Iss 1, Pp 1-7 (2016) |
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Science Q |
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Science Q Seth Lloyd Silvano Garnerone Paolo Zanardi Quantum algorithms for topological and geometric analysis of data |
description |
Persistent homology allows identification of topological features in data sets, allowing the efficient extraction of useful information. Here, the authors propose a quantum machine learning algorithm that provides an exponential speed up over known algorithms for topological data analysis. |
format |
article |
author |
Seth Lloyd Silvano Garnerone Paolo Zanardi |
author_facet |
Seth Lloyd Silvano Garnerone Paolo Zanardi |
author_sort |
Seth Lloyd |
title |
Quantum algorithms for topological and geometric analysis of data |
title_short |
Quantum algorithms for topological and geometric analysis of data |
title_full |
Quantum algorithms for topological and geometric analysis of data |
title_fullStr |
Quantum algorithms for topological and geometric analysis of data |
title_full_unstemmed |
Quantum algorithms for topological and geometric analysis of data |
title_sort |
quantum algorithms for topological and geometric analysis of data |
publisher |
Nature Portfolio |
publishDate |
2016 |
url |
https://doaj.org/article/70f1e67b437a4e34a6db16ebd4c0eb3d |
work_keys_str_mv |
AT sethlloyd quantumalgorithmsfortopologicalandgeometricanalysisofdata AT silvanogarnerone quantumalgorithmsfortopologicalandgeometricanalysisofdata AT paolozanardi quantumalgorithmsfortopologicalandgeometricanalysisofdata |
_version_ |
1718390598757515264 |