Preparing topological projected entangled pair states on a quantum computer

Simulating exotic phases of matter that are not amenable to classical techniques is one of the most important potential applications of quantum information processing. We present an efficient algorithm for preparing a large class of topological quantum states, the G-injective projected entangled pai...

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Authors: Schwarz, Martin, Temme, Kristan, Verstraete, Frank, Pérez García, David, Cubitt, Toby Stanley
Format: article
Publication Date:2013
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/33366
Online Access:https://hdl.handle.net/20.500.14352/33366
Access Level:Open access
Keyword:51-73
Física matemática
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spelling Preparing topological projected entangled pair states on a quantum computerSchwarz, MartinTemme, KristanVerstraete, FrankPérez García, DavidCubitt, Toby Stanley51-73Física matemáticaSimulating exotic phases of matter that are not amenable to classical techniques is one of the most important potential applications of quantum information processing. We present an efficient algorithm for preparing a large class of topological quantum states, the G-injective projected entangled pair states (PEPS), on a quantum computer. Important examples include the resonant valence bond states, conjectured to be topological spin liquids. The runtime of the algorithm scales polynomially with the condition number of the PEPS projectors and inverse polynomially in the spectral gap of the PEPS parent Hamiltonian.American Physical SocietyUniversidad Complutense de Madrid20132013-09-0120132013-09-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/33366reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/333662026-06-02T12:44:21Z
dc.title.none.fl_str_mv Preparing topological projected entangled pair states on a quantum computer
title Preparing topological projected entangled pair states on a quantum computer
spellingShingle Preparing topological projected entangled pair states on a quantum computer
Schwarz, Martin
51-73
Física matemática
title_short Preparing topological projected entangled pair states on a quantum computer
title_full Preparing topological projected entangled pair states on a quantum computer
title_fullStr Preparing topological projected entangled pair states on a quantum computer
title_full_unstemmed Preparing topological projected entangled pair states on a quantum computer
title_sort Preparing topological projected entangled pair states on a quantum computer
dc.creator.none.fl_str_mv Schwarz, Martin
Temme, Kristan
Verstraete, Frank
Pérez García, David
Cubitt, Toby Stanley
author Schwarz, Martin
author_facet Schwarz, Martin
Temme, Kristan
Verstraete, Frank
Pérez García, David
Cubitt, Toby Stanley
author_role author
author2 Temme, Kristan
Verstraete, Frank
Pérez García, David
Cubitt, Toby Stanley
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 51-73
Física matemática
topic 51-73
Física matemática
description Simulating exotic phases of matter that are not amenable to classical techniques is one of the most important potential applications of quantum information processing. We present an efficient algorithm for preparing a large class of topological quantum states, the G-injective projected entangled pair states (PEPS), on a quantum computer. Important examples include the resonant valence bond states, conjectured to be topological spin liquids. The runtime of the algorithm scales polynomially with the condition number of the PEPS projectors and inverse polynomially in the spectral gap of the PEPS parent Hamiltonian.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-09-01
2013
2013-09-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/33366
url https://hdl.handle.net/20.500.14352/33366
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301629

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