{"id":"https://openalex.org/W1484222494","doi":"https://doi.org/10.1109/acc.2015.7170716","title":"Quantum network reduced-state synchronization part I-convergence under directed interactions","display_name":"Quantum network reduced-state synchronization part I-convergence under directed interactions","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1484222494","doi":"https://doi.org/10.1109/acc.2015.7170716","mag":"1484222494"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7170716","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170716","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-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/A5101779749","display_name":"Guodong Shi","orcid":"https://orcid.org/0000-0002-5929-9655"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Guodong Shi","raw_affiliation_strings":["College of Engineering and Computer Science, The Australian National University, Canberra ACT 0200, Australia","College of Engineering and Computer Science, The Australian National University, Canberra, ACT 0200, Australia"],"affiliations":[{"raw_affiliation_string":"College of Engineering and Computer Science, The Australian National University, Canberra ACT 0200, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"College of Engineering and Computer Science, The Australian National University, Canberra, ACT 0200, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018348224","display_name":"Shuangshuang Fu","orcid":"https://orcid.org/0000-0002-0135-0569"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Shuangshuang Fu","raw_affiliation_strings":["College of Engineering and Computer Science, The Australian National University, Canberra ACT 0200, Australia","College of Engineering and Computer Science, The Australian National University, Canberra, ACT 0200, Australia"],"affiliations":[{"raw_affiliation_string":"College of Engineering and Computer Science, The Australian National University, Canberra ACT 0200, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"College of Engineering and Computer Science, The Australian National University, Canberra, ACT 0200, Australia","institution_ids":["https://openalex.org/I118347636"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011597574","display_name":"Ian R. Petersen","orcid":"https://orcid.org/0000-0003-4856-9450"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]},{"id":"https://openalex.org/I188329596","display_name":"University of Canberra","ror":"https://ror.org/04s1nv328","country_code":"AU","type":"education","lineage":["https://openalex.org/I188329596"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Ian R. Petersen","raw_affiliation_strings":["School of Engineering and Information Technology, University of New South Wales, Canberra, ACT 2600 Australia"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Information Technology, University of New South Wales, Canberra, ACT 2600 Australia","institution_ids":["https://openalex.org/I188329596","https://openalex.org/I31746571"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101779749"],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":3.0201,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.92206393,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9991999864578247,"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":0.9991999864578247,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.9987999796867371,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/qubit","display_name":"Qubit","score":0.7170455455780029},{"id":"https://openalex.org/keywords/tensor-product","display_name":"Tensor product","score":0.51374351978302},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5130337476730347},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.49571216106414795},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4942765235900879},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.41327619552612305},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3920769989490509},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37553513050079346},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2593849301338196},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.25245171785354614},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15982908010482788},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.13827472925186157},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13120684027671814}],"concepts":[{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.7170455455780029},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.51374351978302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5130337476730347},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.49571216106414795},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4942765235900879},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.41327619552612305},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3920769989490509},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37553513050079346},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2593849301338196},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.25245171785354614},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15982908010482788},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.13827472925186157},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13120684027671814},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2015.7170716","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7170716","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"},{"id":"pmh:oai:openresearch-repository.anu.edu.au:1885/102763","is_oa":false,"landing_page_url":"http://hdl.handle.net/1885/102763","pdf_url":null,"source":{"id":"https://openalex.org/S4306402539","display_name":"ANU Open Research (Australian National University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118347636","host_organization_name":"Australian National University","host_organization_lineage":["https://openalex.org/I118347636"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the American Control Conference","raw_type":"Conference paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W166500159","https://openalex.org/W247697463","https://openalex.org/W613360614","https://openalex.org/W1523754616","https://openalex.org/W1530682388","https://openalex.org/W1561685552","https://openalex.org/W1578322733","https://openalex.org/W1662337139","https://openalex.org/W1807458715","https://openalex.org/W1993788616","https://openalex.org/W1997472636","https://openalex.org/W2015683881","https://openalex.org/W2058750992","https://openalex.org/W2061798690","https://openalex.org/W2083787309","https://openalex.org/W2107396783","https://openalex.org/W2112046594","https://openalex.org/W2117905067","https://openalex.org/W2119389186","https://openalex.org/W2141451487","https://openalex.org/W2154834860","https://openalex.org/W2165744313","https://openalex.org/W2610857016","https://openalex.org/W2963271519","https://openalex.org/W3123725761"],"related_works":["https://openalex.org/W4382281260","https://openalex.org/W4226092092","https://openalex.org/W4221143630","https://openalex.org/W4385644215","https://openalex.org/W4281983429","https://openalex.org/W4387075962","https://openalex.org/W2297609635","https://openalex.org/W3121558291","https://openalex.org/W1918223026","https://openalex.org/W2951392674"],"abstract_inverted_index":{"We":[0,81],"consider":[1],"reduced-state":[2,84],"synchronization":[3,85],"of":[4,10,22,46,59,74,111],"qubit":[5,48],"networks":[6],"with":[7],"the":[8,12,23,34,51,63,75,92,112,122,133],"aim":[9],"driving":[11],"qubits'":[13],"reduced":[14],"states":[15],"to":[16],"a":[17,30,39,43,57,96],"common":[18],"trajectory.":[19],"The":[20,65,101,118],"evolution":[21],"quantum":[24,69,93],"network's":[25],"state":[26],"is":[27,37,86,103],"described":[28],"by":[29,56],"master":[31],"equation,":[32],"where":[33],"network":[35],"Hamiltonian":[36],"either":[38],"direct":[40],"sum":[41],"or":[42],"tensor":[44],"product":[45],"identical":[47],"Hamiltonians,":[49],"and":[50,89,121],"coupling":[52],"terms":[53],"are":[54,125,130],"given":[55],"set":[58],"permutation":[60],"operators":[61],"over":[62],"network.":[64],"permutations":[66,94],"introduce":[67],"naturally":[68],"directed":[70],"interactions.":[71],"This":[72],"part":[73],"paper":[76],"focuses":[77],"on":[78,105],"convergence":[79,119],"conditions.":[80],"show":[82],"that":[83],"achieved":[87],"if":[88,91],"only":[90],"form":[95],"strongly":[97],"connected":[98],"union":[99],"graph.":[100],"proof":[102],"based":[104],"an":[106],"algebraic":[107],"analysis":[108],"making":[109],"use":[110],"Perron-Frobenius":[113],"theorem":[114],"for":[115],"non-negative":[116],"matrices.":[117],"rate":[120],"limiting":[123],"orbit":[124],"explicitly":[126],"characterized.":[127],"Numerical":[128],"examples":[129],"provided":[131],"illustrating":[132],"obtained":[134],"results.":[135]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
