{"id":"https://openalex.org/W4361805565","doi":"https://doi.org/10.1142/s1230161223500038","title":"Quantum-Dynamical Semigroups and the Church of the Larger Hilbert Space","display_name":"Quantum-Dynamical Semigroups and the Church of the Larger Hilbert Space","publication_year":2023,"publication_date":"2023-03-01","ids":{"openalex":"https://openalex.org/W4361805565","doi":"https://doi.org/10.1142/s1230161223500038"},"language":"en","primary_location":{"id":"doi:10.1142/s1230161223500038","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161223500038","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems &amp; Information Dynamics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://refubium.fu-berlin.de/bitstream/fub188/42699/3/2211.08351.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062883307","display_name":"Frederik vom Ende","orcid":"https://orcid.org/0000-0002-2738-6893"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]},{"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":true,"raw_author_name":"Frederik vom Ende","raw_affiliation_strings":["Munich Centre for Quantum Science and Technology (MCQST) & Munich Quantum Valley (MQV), Schellingstra\u00dfe 4, 80799 M\u00fcnchen, Germany","Technische Universit\u00e4t M\u00fcnchen, School of Natural Sciences, 85747 Garching, Germany"],"affiliations":[{"raw_affiliation_string":"Munich Centre for Quantum Science and Technology (MCQST) & Munich Quantum Valley (MQV), Schellingstra\u00dfe 4, 80799 M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I4210142743"]},{"raw_affiliation_string":"Technische Universit\u00e4t M\u00fcnchen, School of Natural Sciences, 85747 Garching, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062883307"],"corresponding_institution_ids":["https://openalex.org/I4210142743","https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":0.799,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69169796,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"30","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","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"}},"topics":[{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","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/T10020","display_name":"Quantum Information and Cryptography","score":0.9994999766349792,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/hilbert-space","display_name":"Hilbert space","score":0.7334510684013367},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.7262087464332581},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6839486956596375},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.682110071182251},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5901897549629211},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5872548818588257},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5819106101989746},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5747781991958618},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5271146893501282},{"id":"https://openalex.org/keywords/dissipative-operator","display_name":"Dissipative operator","score":0.520308256149292},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.4758034646511078},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.42227405309677124},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2405860424041748},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.19827327132225037},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19543838500976562},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10841652750968933}],"concepts":[{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.7334510684013367},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7262087464332581},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6839486956596375},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.682110071182251},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5901897549629211},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5872548818588257},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5819106101989746},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5747781991958618},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5271146893501282},{"id":"https://openalex.org/C101370240","wikidata":"https://www.wikidata.org/wiki/Q1229326","display_name":"Dissipative operator","level":3,"score":0.520308256149292},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.4758034646511078},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.42227405309677124},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2405860424041748},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19827327132225037},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19543838500976562},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10841652750968933},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1142/s1230161223500038","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161223500038","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems &amp; Information Dynamics","raw_type":"journal-article"},{"id":"pmh:oai:refubium.fu-berlin.de:fub188/42699","is_oa":true,"landing_page_url":"https://refubium.fu-berlin.de/handle/fub188/42699","pdf_url":"https://refubium.fu-berlin.de/bitstream/fub188/42699/3/2211.08351.pdf","source":{"id":"https://openalex.org/S4306402444","display_name":"Refubium (Universit\u00e4tsbibliothek der Freien Universit\u00e4t Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I75951250","host_organization_name":"Freie Universit\u00e4t Berlin","host_organization_lineage":["https://openalex.org/I75951250"],"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":"doc-type:article"},{"id":"doi:10.17169/refubium-42422","is_oa":true,"landing_page_url":"https://doi.org/10.17169/refubium-42422","pdf_url":null,"source":{"id":"https://openalex.org/S7407052913","display_name":"Universit\u00e4tsbibliothek der FU Berlin Hochschulschriftenstelle u. Dokumentenserver","issn_l":null,"issn":[],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:refubium.fu-berlin.de:fub188/42699","is_oa":true,"landing_page_url":"https://refubium.fu-berlin.de/handle/fub188/42699","pdf_url":"https://refubium.fu-berlin.de/bitstream/fub188/42699/3/2211.08351.pdf","source":{"id":"https://openalex.org/S4306402444","display_name":"Refubium (Universit\u00e4tsbibliothek der Freien Universit\u00e4t Berlin)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I75951250","host_organization_name":"Freie Universit\u00e4t Berlin","host_organization_lineage":["https://openalex.org/I75951250"],"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":"doc-type:article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4361805565.pdf"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W1490461202","https://openalex.org/W1503042153","https://openalex.org/W1522874822","https://openalex.org/W1532305054","https://openalex.org/W1582766254","https://openalex.org/W1677099425","https://openalex.org/W1978269114","https://openalex.org/W1982874713","https://openalex.org/W1984973950","https://openalex.org/W1990579673","https://openalex.org/W1995040500","https://openalex.org/W2015683881","https://openalex.org/W2015775929","https://openalex.org/W2019450960","https://openalex.org/W2031255223","https://openalex.org/W2032839191","https://openalex.org/W2052344514","https://openalex.org/W2071937582","https://openalex.org/W2074676574","https://openalex.org/W2084864304","https://openalex.org/W2116102644","https://openalex.org/W2124714273","https://openalex.org/W2170608991","https://openalex.org/W2611718921","https://openalex.org/W2667520185","https://openalex.org/W2771248925","https://openalex.org/W2795786739","https://openalex.org/W2913637149","https://openalex.org/W2975384469","https://openalex.org/W3096818624","https://openalex.org/W3101432241","https://openalex.org/W3102716092","https://openalex.org/W3172349952","https://openalex.org/W3213943817","https://openalex.org/W3216038392","https://openalex.org/W4207037635","https://openalex.org/W4214671029","https://openalex.org/W4226414110","https://openalex.org/W4302078450","https://openalex.org/W4306820523"],"related_works":["https://openalex.org/W3195409144","https://openalex.org/W4293117498","https://openalex.org/W1972656607","https://openalex.org/W1982010170","https://openalex.org/W1883390276","https://openalex.org/W2352739639","https://openalex.org/W2386000747","https://openalex.org/W2046503340","https://openalex.org/W3154157740","https://openalex.org/W4287549060"],"abstract_inverted_index":{"In":[0,108],"this":[1,110],"work":[2],"we":[3,82],"investigate":[4],"Stinespring":[5,89,118],"dilations":[6,90],"of":[7,17,45,52,77,88,100,114],"quantum-dynamical":[8,102,115],"semigroups,":[9],"which":[10],"are":[11],"known":[12],"to":[13,58,69,71],"exist":[14],"by":[15,22,61],"means":[16],"a":[18,92],"constructive":[19],"proof":[20],"given":[21],"Davies":[23],"in":[24],"the":[25,32,50,53,66,78,85,97,112],"early":[26],"70s.":[27],"We":[28],"show":[29],"that":[30,38,84],"if":[31,40],"semigroup":[33,103],"describes":[34],"an":[35,62,72],"open":[36],"system,":[37],"is,":[39],"it":[41],"does":[42],"not":[43],"consist":[44],"only":[46],"unitary":[47],"channels,":[48],"then":[49],"evolution":[51],"dilated":[54],"closed":[55],"system":[56],"has":[57,68],"be":[59],"generated":[60],"unbounded":[63],"Hamiltonian;":[64],"subsequently":[65],"environment":[67],"correspond":[70],"infinite-dimensional":[73],"Hilbert":[74],"space,":[75],"regardless":[76],"original":[79],"system.":[80],"Moreover,":[81],"prove":[83],"second":[86],"derivative":[87],"with":[91],"bounded":[93],"total":[94],"Hamiltonian":[95],"yields":[96],"dissipative":[98],"part":[99],"some":[101],"\u2014":[104],"and":[105],"vice":[106],"versa.":[107],"particular":[109],"characterizes":[111],"generators":[113],"semigroups":[116],"via":[117],"dilations.":[119]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2023-04-05T00:00:00"}
