{"id":"https://openalex.org/W4394572682","doi":"https://doi.org/10.1142/s1230161224500045","title":"Finite-Dimensional Stinespring Curves Can Approximate Any Dynamics","display_name":"Finite-Dimensional Stinespring Curves Can Approximate Any Dynamics","publication_year":2024,"publication_date":"2024-03-01","ids":{"openalex":"https://openalex.org/W4394572682","doi":"https://doi.org/10.1142/s1230161224500045"},"language":"en","primary_location":{"id":"doi:10.1142/s1230161224500045","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161224500045","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 & Information Dynamics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"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/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Frederik vom Ende","raw_affiliation_strings":["Dahlem Center for Complex Quantum Systems, Freie Universit\u00e4t Berlin, Arnimallee 14, 14195 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dahlem Center for Complex Quantum Systems, Freie Universit\u00e4t Berlin, Arnimallee 14, 14195 Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062883307"],"corresponding_institution_ids":["https://openalex.org/I75951250"],"apc_list":null,"apc_paid":null,"fwci":0.5143,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.60191184,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"31","issue":"01","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9972000122070312,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9972000122070312,"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"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9965000152587891,"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"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9958999752998352,"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/dynamics","display_name":"Dynamics (music)","score":0.6084270477294922},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5079558491706848},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.38383299112319946},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3609827756881714},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3527931869029999},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24933385848999023}],"concepts":[{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.6084270477294922},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5079558491706848},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38383299112319946},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3609827756881714},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3527931869029999},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24933385848999023},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1230161224500045","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161224500045","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 & Information Dynamics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W314004172","https://openalex.org/W1492498476","https://openalex.org/W1503042153","https://openalex.org/W1536923738","https://openalex.org/W1594563152","https://openalex.org/W1671098680","https://openalex.org/W1982874713","https://openalex.org/W1990579673","https://openalex.org/W1995040500","https://openalex.org/W2008257663","https://openalex.org/W2014521495","https://openalex.org/W2015683881","https://openalex.org/W2019450960","https://openalex.org/W2022476185","https://openalex.org/W2032839191","https://openalex.org/W2044421213","https://openalex.org/W2052344514","https://openalex.org/W2054908097","https://openalex.org/W2064672119","https://openalex.org/W2069207980","https://openalex.org/W2071937582","https://openalex.org/W2079509440","https://openalex.org/W2084864304","https://openalex.org/W2090508883","https://openalex.org/W2102077152","https://openalex.org/W2124714273","https://openalex.org/W2136003379","https://openalex.org/W2140406475","https://openalex.org/W2140466544","https://openalex.org/W2154942407","https://openalex.org/W2295190005","https://openalex.org/W2601309164","https://openalex.org/W2607611777","https://openalex.org/W2755220802","https://openalex.org/W2795786739","https://openalex.org/W2804172638","https://openalex.org/W2962835679","https://openalex.org/W3089889644","https://openalex.org/W3099169414","https://openalex.org/W3102716092","https://openalex.org/W3121383614","https://openalex.org/W3122410042","https://openalex.org/W3213943817","https://openalex.org/W4235853207","https://openalex.org/W4239216443","https://openalex.org/W4289105355","https://openalex.org/W4300223101","https://openalex.org/W4300657400","https://openalex.org/W4361805490","https://openalex.org/W4361805565","https://openalex.org/W4387409104","https://openalex.org/W4400493434"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"We":[0,59],"generalize":[1],"a":[2,23],"recent":[3],"result":[4],"stating":[5],"that":[6,31],"all":[7,49],"analytic":[8,36,56],"quantum":[9,44],"dynamics":[10,20,45,51,84],"can":[11,40,52],"be":[12,53],"represented":[13],"exactly":[14],"as":[15],"the":[16,32,73,88],"reduction":[17],"of":[18,38,67],"unitary":[19],"generated":[21],"by":[22,55,61],"time-":[24],"dependent":[25],"Hamiltonian.":[26],"More":[27],"precisely,":[28],"we":[29],"prove":[30],"partial":[33],"trace":[34],"over":[35],"paths":[37],"unitaries":[39],"approximate":[41],"any":[42],"Lipschitz-continuous":[43],"arbitrarily":[46],"well.":[47],"Equivalently,":[48],"such":[50],"approximated":[54],"Kraus":[57],"operators.":[58],"conclude":[60],"discussing":[62],"potential":[63],"improvements":[64],"and":[65,72],"generalizations":[66],"these":[68],"results,":[69],"their":[70],"limitations,":[71],"general":[74],"challenges":[75],"one":[76],"has":[77],"to":[78,82,85],"overcome":[79],"when":[80],"trying":[81],"relate":[83],"quantities":[86],"on":[87],"system\u2013environment":[89],"level.":[90]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2024-04-09T00:00:00"}