{"id":"https://openalex.org/W2471448782","doi":"https://doi.org/10.1007/s11128-016-1386-9","title":"Application of generalized operator representation in the time evolution of quantum systems","display_name":"Application of generalized operator representation in the time evolution of quantum systems","publication_year":2016,"publication_date":"2016-07-13","ids":{"openalex":"https://openalex.org/W2471448782","doi":"https://doi.org/10.1007/s11128-016-1386-9","mag":"2471448782"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-016-1386-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-016-1386-9","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","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/A5112047921","display_name":"Rui He","orcid":"https://orcid.org/0000-0003-4494-9106"},"institutions":[{"id":"https://openalex.org/I4210147745","display_name":"West Anhui University","ror":"https://ror.org/046ft6c74","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210147745"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Rui He","raw_affiliation_strings":["College of Material and Chemical Engineering, West Anhui University, Luan, 237012, Anhui, China","Institute of Quantum Control and Automation, West Anhui University, Luan, 237012, Anhui, China"],"affiliations":[{"raw_affiliation_string":"College of Material and Chemical Engineering, West Anhui University, Luan, 237012, Anhui, China","institution_ids":["https://openalex.org/I4210147745"]},{"raw_affiliation_string":"Institute of Quantum Control and Automation, West Anhui University, Luan, 237012, Anhui, China","institution_ids":["https://openalex.org/I4210147745"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056901189","display_name":"Xiangyuan Liu","orcid":"https://orcid.org/0009-0005-8513-0879"},"institutions":[{"id":"https://openalex.org/I4210147745","display_name":"West Anhui University","ror":"https://ror.org/046ft6c74","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210147745"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangyuan Liu","raw_affiliation_strings":["College of Material and Chemical Engineering, West Anhui University, Luan, 237012, Anhui, China"],"affiliations":[{"raw_affiliation_string":"College of Material and Chemical Engineering, West Anhui University, Luan, 237012, Anhui, China","institution_ids":["https://openalex.org/I4210147745"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102010684","display_name":"Jun Song","orcid":"https://orcid.org/0000-0003-0659-1158"},"institutions":[{"id":"https://openalex.org/I4210147745","display_name":"West Anhui University","ror":"https://ror.org/046ft6c74","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210147745"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Song","raw_affiliation_strings":["College of Material and Chemical Engineering, West Anhui University, Luan, 237012, Anhui, China"],"affiliations":[{"raw_affiliation_string":"College of Material and Chemical Engineering, West Anhui University, Luan, 237012, Anhui, China","institution_ids":["https://openalex.org/I4210147745"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112047921"],"corresponding_institution_ids":["https://openalex.org/I4210147745"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03954831,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":"10","first_page":"4325","last_page":"4336"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9988999962806702,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9987000226974487,"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/operator","display_name":"Operator (biology)","score":0.7542815208435059},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6825714111328125},{"id":"https://openalex.org/keywords/dissipative-operator","display_name":"Dissipative operator","score":0.5716428160667419},{"id":"https://openalex.org/keywords/dissipative-system","display_name":"Dissipative system","score":0.5446653962135315},{"id":"https://openalex.org/keywords/time-evolution","display_name":"Time evolution","score":0.4807679355144501},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.44708213210105896},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4353524148464203},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.4302981495857239},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41536056995391846},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24256658554077148},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.23168042302131653}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.7542815208435059},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6825714111328125},{"id":"https://openalex.org/C101370240","wikidata":"https://www.wikidata.org/wiki/Q1229326","display_name":"Dissipative operator","level":3,"score":0.5716428160667419},{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.5446653962135315},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.4807679355144501},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.44708213210105896},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4353524148464203},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.4302981495857239},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41536056995391846},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24256658554077148},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.23168042302131653},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"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/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-016-1386-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-016-1386-9","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","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":16,"referenced_works":["https://openalex.org/W1427628407","https://openalex.org/W1995318840","https://openalex.org/W2020181160","https://openalex.org/W2020485992","https://openalex.org/W2038366371","https://openalex.org/W2046654600","https://openalex.org/W2047806975","https://openalex.org/W2056471637","https://openalex.org/W2060226191","https://openalex.org/W2073475551","https://openalex.org/W2093061198","https://openalex.org/W2211778065","https://openalex.org/W2228259595","https://openalex.org/W3165898261","https://openalex.org/W4237796433","https://openalex.org/W4239396514"],"related_works":["https://openalex.org/W3195409144","https://openalex.org/W4293117498","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/W1970410745","https://openalex.org/W1982289135"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}