{"id":"https://openalex.org/W4387570189","doi":"https://doi.org/10.1103/physreva.108.042606","title":"Flexible constraint compilation in the parity architecture","display_name":"Flexible constraint compilation in the parity architecture","publication_year":2023,"publication_date":"2023-10-12","ids":{"openalex":"https://openalex.org/W4387570189","doi":"https://doi.org/10.1103/physreva.108.042606"},"language":"en","primary_location":{"id":"doi:10.1103/physreva.108.042606","doi":"https://doi.org/10.1103/physreva.108.042606","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physreva.108.042606","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevA.108.042606","source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"http://link.aps.org/pdf/10.1103/PhysRevA.108.042606","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044824879","display_name":"Roeland ter Hoeven","orcid":"https://orcid.org/0000-0003-2807-2244","observed_orcids":["https://orcid.org/0000-0003-2807-2244"]},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Roeland ter Hoeven","raw_affiliation_strings":["Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria","Parity Quantum Computing GmbH, A-6020 Innsbruck, Austria"],"raw_orcid":"https://orcid.org/0000-0003-2807-2244","affiliations":[{"raw_affiliation_string":"Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]},{"raw_affiliation_string":"Parity Quantum Computing GmbH, A-6020 Innsbruck, Austria","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070990394","display_name":"Anette Messinger","orcid":"https://orcid.org/0000-0003-3208-3974","observed_orcids":["https://orcid.org/0000-0003-3208-3974"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anette Messinger","raw_affiliation_strings":["Parity Quantum Computing GmbH, A-6020 Innsbruck, Austria"],"raw_orcid":"https://orcid.org/0000-0003-3208-3974","affiliations":[{"raw_affiliation_string":"Parity Quantum Computing GmbH, A-6020 Innsbruck, Austria","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034419704","display_name":"Wolfgang Lechner","orcid":"https://orcid.org/0000-0003-3662-1020","observed_orcids":["https://orcid.org/0000-0003-3662-1020"]},"institutions":[{"id":"https://openalex.org/I190249584","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659","country_code":"AT","type":"education","lineage":["https://openalex.org/I190249584"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Wolfgang Lechner","raw_affiliation_strings":["Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria","Parity Quantum Computing GmbH, A-6020 Innsbruck, Austria"],"raw_orcid":"https://orcid.org/0000-0003-3662-1020","affiliations":[{"raw_affiliation_string":"Institute for Theoretical Physics, University of Innsbruck, A-6020 Innsbruck, Austria","institution_ids":["https://openalex.org/I190249584"]},{"raw_affiliation_string":"Parity Quantum Computing GmbH, A-6020 Innsbruck, Austria","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034419704"],"corresponding_institution_ids":["https://openalex.org/I190249584"],"apc_list":{"value":2675,"currency":"USD","value_usd":2675},"apc_paid":{"value":2675,"currency":"USD","value_usd":2675},"fwci":0.3506,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.54122411,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"108","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.0,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-approximate-optimization-algorithm","display_name":"quantum approximate optimization algorithm","score":0.7720000147819519},{"id":"https://openalex.org/keywords/swap-gate","display_name":"SWAP gate","score":0.7910000085830688},{"id":"https://openalex.org/keywords/connectivity-graph","display_name":"connectivity graph","score":0.5849999785423279},{"id":"https://openalex.org/keywords/nonlocal-operators","display_name":"nonlocal operators","score":0.621999979019165}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7270079851150513},{"id":"https://openalex.org/C182953411","wikidata":"https://www.wikidata.org/wiki/Q917713","display_name":"Controlled NOT gate","level":5,"score":0.5927849411964417},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.5810561180114746},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5241672992706299},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.48175477981567383},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.44862937927246094},{"id":"https://openalex.org/C123657996","wikidata":"https://www.wikidata.org/wiki/Q12271","display_name":"Architecture","level":2,"score":0.4285753071308136},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4130098223686218},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4099530279636383},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3834688067436218},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3518694043159485},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.29325881600379944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2013663947582245},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.19646626710891724},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17645129561424255},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14741045236587524},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1334504783153534},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/physreva.108.042606","doi":"https://doi.org/10.1103/physreva.108.042606","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physreva.108.042606","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevA.108.042606","source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2304.12879","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2304.12879","pdf_url":"https://arxiv.org/pdf/2304.12879","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2304.12879","doi":"https://doi.org/10.48550/arxiv.2304.12879","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2304.12879","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1103/physreva.108.042606","doi":"https://doi.org/10.1103/physreva.108.042606","is_oa":true,"landing_page_url":"https://doi.org/10.1103/physreva.108.042606","pdf_url":"http://link.aps.org/pdf/10.1103/PhysRevA.108.042606","source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1067295223","display_name":"Novel photo-assisted systems for direct Solar-driven redUctioN of CO2 to energy rich CHEMicals","funder_award_id":"884444","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G1626007387","display_name":null,"funder_award_id":"884444","funder_id":"https://openalex.org/F4320323031","funder_display_name":"\u00d6sterreichische Forschungsf\u00f6rderungsgesellschaft"},{"id":"https://openalex.org/G3459527729","display_name":"ParityQC: Parity Constraints as a Quantum Computing Toolbox","funder_award_id":"Y1067","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G3979371216","display_name":null,"funder_award_id":"101017733","funder_id":"https://openalex.org/F4320335254","funder_display_name":"Horizon 2020"},{"id":"https://openalex.org/G434337789","display_name":null,"funder_award_id":"HORIZON2020","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4732156486","display_name":"Shortcuts to Adiabaticity for Quantum Computation and Simula","funder_award_id":"I6011","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G575169067","display_name":null,"funder_award_id":"101017733","funder_id":"https://openalex.org/F4320330828","funder_display_name":"QuantERA"},{"id":"https://openalex.org/G5917528678","display_name":"QuantERA II ERA-NET Cofund in Quantum Technologies","funder_award_id":"101017733","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7716710130","display_name":null,"funder_award_id":"F7108-N38","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320323031","display_name":"\u00d6sterreichische Forschungsf\u00f6rderungsgesellschaft","ror":"https://ror.org/028jc0449"},{"id":"https://openalex.org/F4320327491","display_name":"Universit\u00e4t Innsbruck","ror":"https://ror.org/054pv6659"},{"id":"https://openalex.org/F4320330828","display_name":"QuantERA","ror":null},{"id":"https://openalex.org/F4320335254","display_name":"Horizon 2020","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387570189.pdf","grobid_xml":"https://content.openalex.org/works/W4387570189.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1568345435","https://openalex.org/W1963734567","https://openalex.org/W2016321815","https://openalex.org/W2028190807","https://openalex.org/W2041497060","https://openalex.org/W2064086982","https://openalex.org/W2093070978","https://openalex.org/W2158686436","https://openalex.org/W2274114116","https://openalex.org/W2754868542","https://openalex.org/W2787503115","https://openalex.org/W2963908124","https://openalex.org/W2970450884","https://openalex.org/W2982169647","https://openalex.org/W3013348036","https://openalex.org/W3082220326","https://openalex.org/W3161421749","https://openalex.org/W3161531216","https://openalex.org/W3162765289","https://openalex.org/W3198206768","https://openalex.org/W4281264490","https://openalex.org/W4292230976","https://openalex.org/W4295929652","https://openalex.org/W4309801716","https://openalex.org/W4399844141"],"related_works":["https://openalex.org/W4309801716","https://openalex.org/W7110507386","https://openalex.org/W3161421749","https://openalex.org/W4399844141","https://openalex.org/W4284702109","https://openalex.org/W7110577186","https://openalex.org/W3161531216","https://openalex.org/W4406840534","https://openalex.org/W7223064482","https://openalex.org/W4392011820"],"abstract_inverted_index":{"We":[0,48,87],"present":[1],"tools":[2,53],"and":[3,18,63,76,96],"methods":[4],"to":[5,9,57,109],"generalize":[6],"parity":[7,74],"compilation":[8,83],"digital":[10],"quantum":[11,68],"computing":[12],"devices":[13],"with":[14],"arbitrary":[15],"connectivity":[16],"graphs":[17],"construct":[19],"circuit":[20,61],"implementations":[21],"for":[22],"the":[23,51,59,67,73,78,81,89,92,97,111],"constraint":[24],"Hamiltonian":[25],"of":[26,66,80,113],"higher-order":[27],"constrained":[28],"binary":[29],"optimization":[30,70],"problems.":[31],"In":[32],"particular,":[33],"we":[34],"show":[35,49],"how":[36,50],"even":[37],"nonlocal":[38,116],"constraints":[39],"can":[40,54,106],"be":[41,55,107],"efficiently":[42],"implemented":[43],"without":[44],"expensive":[45],"SWAP":[46,102],"gates.":[47,103],"presented":[52],"used":[56],"optimize":[58],"total":[60],"depth":[62],"CNOT":[64],"count":[65],"approximate":[69],"algorithm":[71],"in":[72],"architecture":[75],"highlight":[77],"advantages":[79],"flexible":[82],"using":[84],"various":[85],"examples.":[86],"derive":[88],"relation":[90],"between":[91],"developed":[93],"gate":[94],"sequences":[95],"traditional":[98],"approach":[99],"that":[100],"uses":[101],"The":[104],"result":[105],"applied":[108],"improve":[110],"implementation":[112],"many":[114],"other":[115],"operators.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2023-10-13T00:00:00"}