{"id":"https://openalex.org/W7214079752","doi":"https://doi.org/10.48550/arxiv.2609.26516","title":"Tensor Network Simulation of Dynamic Circuits","display_name":"Tensor Network Simulation of Dynamic Circuits","publication_year":2026,"publication_date":"2026-09-22","ids":{"openalex":"https://openalex.org/W7214079752","doi":"https://doi.org/10.48550/arxiv.2609.26516"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.26516","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26516","pdf_url":"https://arxiv.org/pdf/2609.26516","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,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.26516","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5098821271","display_name":"Innocenzo Fulginiti","orcid":"https://orcid.org/0000-0001-8818-9626","observed_orcids":["https://orcid.org/0000-0001-8818-9626"]},"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"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Fulginiti, Innocenzo","raw_affiliation_strings":["CIT , Department of Computer Science Technical University of Munich 85748 Garching , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CIT , Department of Computer Science Technical University of Munich 85748 Garching , Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017223864","display_name":"Alessandro Poggiali","orcid":"https://orcid.org/0000-0002-1591-7925","observed_orcids":["https://orcid.org/0000-0002-1591-7925"]},"institutions":[{"id":"https://openalex.org/I108290504","display_name":"University of Pisa","ror":"https://ror.org/03ad39j10","country_code":"IT","type":"education","lineage":["https://openalex.org/I108290504"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Poggiali, Alessandro","raw_affiliation_strings":["Department of Computer Science University of Pisa Pisa , Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science University of Pisa Pisa , Italy","institution_ids":["https://openalex.org/I108290504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046016921","display_name":"Christian B. Mendl","orcid":"https://orcid.org/0000-0002-6386-0230","observed_orcids":["https://orcid.org/0000-0002-6386-0230"]},"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"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Mendl, Christian B.","raw_affiliation_strings":["CIT , Department of Computer Science Technical University of Munich 85748 Garching , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CIT , Department of Computer Science Technical University of Munich 85748 Garching , Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9731000065803528,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9731000065803528,"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":0.02419999986886978,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.0006000000284984708,"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/mid-circuit-measurement","display_name":"mid-circuit measurement","score":0.7450000047683716},{"id":"https://openalex.org/keywords/classical-simulation-of-quantum-circuits","display_name":"classical simulation of quantum circuits","score":0.7839999794960022},{"id":"https://openalex.org/keywords/tensor-networks","display_name":"tensor networks","score":0.9039999842643738},{"id":"https://openalex.org/keywords/density-matrix-renormalization-group","display_name":"density matrix renormalization group","score":0.5960000157356262},{"id":"https://openalex.org/keywords/quantum-teleportation","display_name":"quantum teleportation","score":0.8009999990463257},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"quantum error correction","score":0.5899999737739563}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6963000297546387},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6406000256538391},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.48989999294281006},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.44440001249313354},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.4307999908924103},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.40209999680519104},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.39079999923706055},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36970001459121704},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.3668000102043152},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.3630000054836273},{"id":"https://openalex.org/C13540734","wikidata":"https://www.wikidata.org/wiki/Q5318996","display_name":"Dynamic network analysis","level":2,"score":0.3474999964237213},{"id":"https://openalex.org/C149808339","wikidata":"https://www.wikidata.org/wiki/Q5319019","display_name":"Dynamic simulation","level":2,"score":0.3474999964237213},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.33239999413490295},{"id":"https://openalex.org/C154255573","wikidata":"https://www.wikidata.org/wiki/Q204043","display_name":"Teleportation","level":5,"score":0.33219999074935913},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33180001378059387},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3312999904155731},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.28690001368522644},{"id":"https://openalex.org/C25915931","wikidata":"https://www.wikidata.org/wiki/Q4180825","display_name":"Stochastic simulation","level":2,"score":0.2793999910354614},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.27730000019073486},{"id":"https://openalex.org/C161166931","wikidata":"https://www.wikidata.org/wiki/Q7269096","display_name":"Quantum simulator","level":4,"score":0.2728999853134155},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.263700008392334},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.2524000108242035},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.25049999356269836},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.26516","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26516","pdf_url":"https://arxiv.org/pdf/2609.26516","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,"listed_in":[],"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":"doi:10.48550/arxiv.2609.26516","doi":"https://doi.org/10.48550/arxiv.2609.26516","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.26516","pdf_url":null,"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,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.26516","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.26516","pdf_url":"https://arxiv.org/pdf/2609.26516","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,"listed_in":[],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2905738961","display_name":null,"funder_award_id":"CUP E53C25002010001","funder_id":"https://openalex.org/F4320334079","funder_display_name":"Gruppo Nazionale per il Calcolo Scientifico"},{"id":"https://openalex.org/G2971504390","display_name":null,"funder_award_id":"E53C25002010001","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""},{"id":"https://openalex.org/G5329076112","display_name":null,"funder_award_id":"E53C25002010001","funder_id":"https://openalex.org/F4320334079","funder_display_name":"Gruppo Nazionale per il Calcolo Scientifico"},{"id":"https://openalex.org/G8097609347","display_name":null,"funder_award_id":"CUP E53C25002010001","funder_id":"https://openalex.org/F4320311030","funder_display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\""}],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320334079","display_name":"Gruppo Nazionale per il Calcolo Scientifico","ror":"https://ror.org/02rnys730"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214079752.pdf","grobid_xml":"https://content.openalex.org/works/W7214079752.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W4362737055","https://openalex.org/W4379878597","https://openalex.org/W4415318200"],"related_works":["https://openalex.org/W4417521214","https://openalex.org/W4416285734","https://openalex.org/W4361272941","https://openalex.org/W3171712046","https://openalex.org/W4403335373","https://openalex.org/W7208807597","https://openalex.org/W4412125743","https://openalex.org/W7163910560","https://openalex.org/W7127970896","https://openalex.org/W1535717167"],"abstract_inverted_index":{"Dynamic":[0],"circuits,":[1,118],"which":[2],"incorporate":[3],"mid-circuit":[4,49],"measurements":[5],"and":[6,17,29,88,101,123,142,150],"classically":[7],"controlled":[8],"operations,":[9],"extend":[10],"the":[11,41,80,120,137,154],"expressive":[12],"power":[13],"of":[14,44,83,109,157],"quantum":[15,24,31,70],"programs":[16],"are":[18],"central":[19],"to":[20,40,73],"applications":[21],"such":[22],"as":[23,127,129],"error":[25],"correction,":[26],"state":[27,125],"preparation,":[28,126],"distributed":[30],"algorithms.":[32],"However,":[33],"their":[34],"classical":[35,155],"simulation":[36,72,140,156],"is":[37],"challenging":[38],"due":[39],"exponential":[42,81],"growth":[43],"execution":[45,84],"branches":[46],"induced":[47],"by":[48,64],"measurements.":[50],"In":[51],"this":[52],"work,":[53],"we":[54,86],"develop":[55],"a":[56,66,92,102,148],"tensor":[57],"network":[58],"approach":[59,95,104],"for":[60,69,153],"simulating":[61],"dynamic":[62,75,117,132,158],"circuits":[63],"extending":[65],"DMRG-based":[67],"method":[68],"circuit":[71,76],"support":[74],"operations.":[77],"To":[78],"address":[79],"proliferation":[82],"branches,":[85],"introduce":[87],"compare":[89],"two":[90],"strategies:":[91],"single-path":[93],"stochastic":[94],"that":[96,105],"samples":[97],"individual":[98],"measurement":[99],"outcomes,":[100],"multi-path":[103],"maintains":[106],"an":[107],"ensemble":[108],"branches.":[110],"We":[111],"benchmark":[112],"these":[113],"methods":[114],"on":[115,130],"standard":[116],"including":[119],"teleportation":[121],"protocol":[122],"GHZ":[124],"well":[128],"random":[131],"circuits.":[133,159],"Our":[134],"analysis":[135],"explores":[136],"trade-offs":[138],"between":[139],"accuracy":[141],"computational":[143],"efficiency.":[144],"These":[145],"results":[146],"provide":[147],"practical":[149],"scalable":[151],"framework":[152]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-24T00:00:00"}