{"id":"https://openalex.org/W2944980453","doi":"https://doi.org/10.22331/q-2019-07-15-165","title":"Minimal energy cost of entanglement extraction","display_name":"Minimal energy cost of entanglement extraction","publication_year":2019,"publication_date":"2019-07-15","ids":{"openalex":"https://openalex.org/W2944980453","doi":"https://doi.org/10.22331/q-2019-07-15-165","mag":"2944980453"},"language":"en","primary_location":{"id":"doi:10.22331/q-2019-07-15-165","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2019-07-15-165","pdf_url":"https://quantum-journal.org/papers/q-2019-07-15-165/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2019-07-15-165/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077663153","display_name":"Lucas Hackl","orcid":"https://orcid.org/0000-0002-4172-0317"},"institutions":[{"id":"https://openalex.org/I4210120293","display_name":"Max Planck Institute of Quantum Optics","ror":"https://ror.org/01vekys64","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210120293"]},{"id":"https://openalex.org/I4210142743","display_name":"Munich Center for Quantum Science and Technology","ror":"https://ror.org/04xrcta15","country_code":"DE","type":"education","lineage":["https://openalex.org/I4210142743","https://openalex.org/I8204097"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lucas Hackl","raw_affiliation_strings":["Max Planck Institute of Quantum Optics, Hans-Kopfermann-Str. 1, 85748 Garching, Germany","Munich Center for Quantum Science and Technology, Schellingstra\u00dfe 4, D-80799 M\u00fcnchen, Germany"],"raw_orcid":"https://orcid.org/0000-0002-4172-0317","affiliations":[{"raw_affiliation_string":"Max Planck Institute of Quantum Optics, Hans-Kopfermann-Str. 1, 85748 Garching, Germany","institution_ids":["https://openalex.org/I4210120293"]},{"raw_affiliation_string":"Munich Center for Quantum Science and Technology, Schellingstra\u00dfe 4, D-80799 M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I4210142743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023101583","display_name":"Robert H. Jonsson","orcid":"https://orcid.org/0000-0003-0295-250X"},"institutions":[{"id":"https://openalex.org/I124055696","display_name":"University of Copenhagen","ror":"https://ror.org/035b05819","country_code":"DK","type":"education","lineage":["https://openalex.org/I124055696"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Robert H. Jonsson","raw_affiliation_strings":["QMATH, Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark"],"raw_orcid":"https://orcid.org/0000-0003-0295-250X","affiliations":[{"raw_affiliation_string":"QMATH, Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Copenhagen, Denmark","institution_ids":["https://openalex.org/I124055696"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":3.0096,"has_fulltext":true,"cited_by_count":25,"citation_normalized_percentile":{"value":0.92718678,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"3","issue":null,"first_page":"165","last_page":"165"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9997000098228455,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.8637089729309082},{"id":"https://openalex.org/keywords/generality","display_name":"Generality","score":0.5882071852684021},{"id":"https://openalex.org/keywords/ground-state","display_name":"Ground state","score":0.53380286693573},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5282199382781982},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.528055727481842},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.45539823174476624},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.44835928082466125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44606322050094604},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34705114364624023},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30249208211898804},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.30154603719711304},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.281535804271698},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.10544106364250183},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09753727912902832}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.8637089729309082},{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.5882071852684021},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.53380286693573},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5282199382781982},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.528055727481842},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.45539823174476624},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.44835928082466125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44606322050094604},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34705114364624023},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30249208211898804},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.30154603719711304},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.281535804271698},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.10544106364250183},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09753727912902832},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.22331/q-2019-07-15-165","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2019-07-15-165","pdf_url":"https://quantum-journal.org/papers/q-2019-07-15-165/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1904.06246","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.06246","pdf_url":"https://arxiv.org/pdf/1904.06246","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,"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":"pmh:oai:doaj.org/article:46d1f5d196054273b1d5d34d78ff10d4","is_oa":false,"landing_page_url":"https://doaj.org/article/46d1f5d196054273b1d5d34d78ff10d4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 3, p 165 (2019)","raw_type":"article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/3158e039-7418-4ad1-9d66-00950ef9aad3","is_oa":true,"landing_page_url":"https://researchprofiles.ku.dk/da/publications/3158e039-7418-4ad1-9d66-00950ef9aad3","pdf_url":null,"source":{"id":"https://openalex.org/S4306401983","display_name":"Research at the University of Copenhagen (University of Copenhagen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I124055696","host_organization_name":"University of Copenhagen","host_organization_lineage":["https://openalex.org/I124055696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Hackl , L & Jonsson , R H 2019 , ' Minimal energy cost of entanglement extraction ' , Quantum , vol. 3 , 165 . https://doi.org/10.22331/q-2019-07-15-165","raw_type":"article"},{"id":"pmh:oai:pure.mpg.de:item_3150450","is_oa":true,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0004-76A8-A","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.22331/q-2019-07-15-165","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2019-07-15-165","pdf_url":"https://quantum-journal.org/papers/q-2019-07-15-165/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8799999952316284}],"awards":[{"id":"https://openalex.org/G1407244622","display_name":null,"funder_award_id":"39081486","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G1768993395","display_name":null,"funder_award_id":"EXC 2111","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G7352392636","display_name":null,"funder_award_id":"10059","funder_id":"https://openalex.org/F4320310490","funder_display_name":"Villum Fonden"}],"funders":[{"id":"https://openalex.org/F4320310490","display_name":"Villum Fonden","ror":"https://ror.org/007ww2d15"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2944980453.pdf","grobid_xml":"https://content.openalex.org/works/W2944980453.grobid-xml"},"referenced_works_count":105,"referenced_works":["https://openalex.org/W1478604027","https://openalex.org/W1501493420","https://openalex.org/W1554471930","https://openalex.org/W1589778516","https://openalex.org/W1606664251","https://openalex.org/W1606745180","https://openalex.org/W1663839511","https://openalex.org/W1673947534","https://openalex.org/W1709784975","https://openalex.org/W1798256933","https://openalex.org/W1805665308","https://openalex.org/W1922629554","https://openalex.org/W1967215212","https://openalex.org/W1970581771","https://openalex.org/W1970948459","https://openalex.org/W1971576807","https://openalex.org/W1972520978","https://openalex.org/W1977162642","https://openalex.org/W1978553093","https://openalex.org/W1981629484","https://openalex.org/W1986407511","https://openalex.org/W1990516747","https://openalex.org/W1991533189","https://openalex.org/W1998203125","https://openalex.org/W2000917236","https://openalex.org/W2001202001","https://openalex.org/W2002579386","https://openalex.org/W2002887576","https://openalex.org/W2006008916","https://openalex.org/W2015179126","https://openalex.org/W2020725861","https://openalex.org/W2026647280","https://openalex.org/W2036393798","https://openalex.org/W2037626646","https://openalex.org/W2050628531","https://openalex.org/W2052655847","https://openalex.org/W2053057740","https://openalex.org/W2053387157","https://openalex.org/W2060720876","https://openalex.org/W2062712424","https://openalex.org/W2068686952","https://openalex.org/W2074203794","https://openalex.org/W2080169805","https://openalex.org/W2086617800","https://openalex.org/W2086639105","https://openalex.org/W2088385236","https://openalex.org/W2097188886","https://openalex.org/W2110283120","https://openalex.org/W2111145493","https://openalex.org/W2128526777","https://openalex.org/W2135830616","https://openalex.org/W2137748572","https://openalex.org/W2148063524","https://openalex.org/W2153446597","https://openalex.org/W2159538982","https://openalex.org/W2161096543","https://openalex.org/W2165573852","https://openalex.org/W2171823766","https://openalex.org/W2174298480","https://openalex.org/W2183109806","https://openalex.org/W2217463000","https://openalex.org/W2226857920","https://openalex.org/W2247216366","https://openalex.org/W2283938970","https://openalex.org/W2400467828","https://openalex.org/W2403487740","https://openalex.org/W2600300433","https://openalex.org/W2610958095","https://openalex.org/W2615155578","https://openalex.org/W2626746670","https://openalex.org/W2762179548","https://openalex.org/W2763356161","https://openalex.org/W2766351618","https://openalex.org/W2768979208","https://openalex.org/W2790290930","https://openalex.org/W2795138880","https://openalex.org/W2888882476","https://openalex.org/W2891358851","https://openalex.org/W2891510256","https://openalex.org/W2895827897","https://openalex.org/W2896072429","https://openalex.org/W2905094678","https://openalex.org/W2942965379","https://openalex.org/W2951038699","https://openalex.org/W2963530921","https://openalex.org/W2987687226","https://openalex.org/W3037335259","https://openalex.org/W3037737784","https://openalex.org/W3098038695","https://openalex.org/W3098308189","https://openalex.org/W3098932016","https://openalex.org/W3100243111","https://openalex.org/W3102046502","https://openalex.org/W3102953496","https://openalex.org/W3103368826","https://openalex.org/W3103688923","https://openalex.org/W3106008245","https://openalex.org/W3106169596","https://openalex.org/W3106463643","https://openalex.org/W3112252120","https://openalex.org/W3135593729","https://openalex.org/W3216958049","https://openalex.org/W4245453241","https://openalex.org/W4248844386","https://openalex.org/W4251813881"],"related_works":["https://openalex.org/W2045049461","https://openalex.org/W1978893398","https://openalex.org/W2201908702","https://openalex.org/W4381094582","https://openalex.org/W2369625323","https://openalex.org/W2364579609","https://openalex.org/W1977906818","https://openalex.org/W1522139108","https://openalex.org/W2353528968","https://openalex.org/W2032776242"],"abstract_inverted_index":{"We":[0],"compute":[1],"the":[2,10,23,28,69],"minimal":[3,24,57],"energy":[4,25,58],"cost":[5],"for":[6],"extracting":[7],"entanglement":[8,39,74],"from":[9,31,75],"ground":[11],"state":[12,73],"of":[13,36,71,89],"a":[14,45,63,86],"bosonic":[15],"or":[16],"fermionic":[17],"quadratic":[18,76],"system.":[19],"Specifically,":[20],"we":[21,49,61,93],"find":[22],"increase":[26],"in":[27],"system":[29],"resulting":[30],"replacing":[32],"an":[33],"entangled":[34],"pair":[35],"modes,":[37],"sharing":[38],"entropy":[40],"<mml:math":[41],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi":[42],"mathvariant=\"normal\">\u0394</mml:mi><mml:mi>S</mml:mi></mml:math>,":[43],"by":[44],"product":[46],"state,":[47],"and":[48],"show":[50],"how":[51],"to":[52,79,85],"construct":[53],"modes":[54],"achieving":[55],"this":[56],"cost.":[59],"Thus,":[60],"obtain":[62],"protocol":[64],"independent":[65],"lower":[66],"bound":[67],"on":[68],"extraction":[70],"pure":[72],"systems.":[77],"Due":[78],"their":[80],"generality,":[81],"our":[82],"results":[83],"apply":[84],"large":[87],"range":[88],"physical":[90],"systems,":[91],"as":[92],"discuss":[94],"with":[95],"examples.":[96]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2020-11-23T00:00:00"}