{"id":"https://openalex.org/W7225750418","doi":"https://doi.org/10.5281/zenodo.24103304","title":"A gapped one-particle density matrix does not determine the topological phase","display_name":"A gapped one-particle density matrix does not determine the topological phase","publication_year":2026,"publication_date":"2026-11-10","ids":{"openalex":"https://openalex.org/W7225750418","doi":"https://doi.org/10.5281/zenodo.24103304"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24103304","doi":"https://doi.org/10.5281/zenodo.24103304","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24103304","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24103304","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064867350","display_name":"Yan Ru Pei","orcid":"https://orcid.org/0000-0002-6999-3691","observed_orcids":["https://orcid.org/0000-0002-6999-3691"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Pei, Yan Ru","raw_affiliation_strings":["Independent researcher, USA"],"raw_orcid":"https://orcid.org/0000-0002-6999-3691","affiliations":[{"raw_affiliation_string":"Independent researcher, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5064867350"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T10657","display_name":"Topological Materials and Phenomena","score":0.8036999702453613,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T10657","display_name":"Topological Materials and Phenomena","score":0.8036999702453613,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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":0.1793999969959259,"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/T11682","display_name":"Advanced Condensed Matter Physics","score":0.005499999970197678,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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":[],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6381000280380249},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.550599992275238},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4957999885082245},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.49399998784065247},{"id":"https://openalex.org/C9136319","wikidata":"https://www.wikidata.org/wiki/Q362640","display_name":"Covariant transformation","level":2,"score":0.49149999022483826},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.44679999351501465},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.445499986410141},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4318999946117401},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.40310001373291016},{"id":"https://openalex.org/C53964469","wikidata":"https://www.wikidata.org/wiki/Q230895","display_name":"Density of states","level":2,"score":0.4020000100135803},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.387800008058548},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.3781000077724457},{"id":"https://openalex.org/C45646460","wikidata":"https://www.wikidata.org/wiki/Q17165159","display_name":"Topological order","level":3,"score":0.37709999084472656},{"id":"https://openalex.org/C128911142","wikidata":"https://www.wikidata.org/wiki/Q1488689","display_name":"Topological insulator","level":2,"score":0.3698999881744385},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3628999888896942},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.3578999936580658},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.34850001335144043},{"id":"https://openalex.org/C183276030","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling constant","level":2,"score":0.3391000032424927},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.33880001306533813},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.3352999985218048},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.326200008392334},{"id":"https://openalex.org/C2775956649","wikidata":"https://www.wikidata.org/wiki/Q1189744","display_name":"Pfaffian","level":2,"score":0.31529998779296875},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.3147999942302704},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.3133000135421753},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.30059999227523804},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.29679998755455017},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2870999872684479},{"id":"https://openalex.org/C77223115","wikidata":"https://www.wikidata.org/wiki/Q634781","display_name":"Topological quantum number","level":2,"score":0.2856999933719635},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.2824000120162964},{"id":"https://openalex.org/C29547527","wikidata":"https://www.wikidata.org/wiki/Q5259335","display_name":"Density matrix renormalization group","level":3,"score":0.2754000127315521},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.27410000562667847},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.27230000495910645},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.27059999108314514},{"id":"https://openalex.org/C2778775528","wikidata":"https://www.wikidata.org/wiki/Q5135432","display_name":"Closing (real estate)","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.2581000030040741}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24103304","doi":"https://doi.org/10.5281/zenodo.24103304","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24103304","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.24103305","doi":"https://doi.org/10.5281/zenodo.24103305","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24103305","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24103304","doi":"https://doi.org/10.5281/zenodo.24103304","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24103304","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Local":[0],"topological":[1,18],"markers":[2,195],"computed":[3],"from":[4],"the":[5,21,50,82,97,102,105,126,130,144,160,172,177,181,184,215,218],"band-flattened":[6],"one-particle":[7],"density":[8],"matrix":[9],"(OPDM)":[10],"have":[11,150,187],"been":[12],"proposed":[13],"as":[14],"diagnostics":[15],"of":[16,65,85,104,133,180],"interacting":[17,212],"phases,":[19],"with":[20,100,143,176],"statement":[22],"that":[23,32,40],"an":[24,72,75,119,134,166,208],"open":[25],"OPDM":[26,83,148,188,220],"gap":[27],"suffices;":[28],"their":[29,241],"authors":[30],"noted":[31],"a":[33,37,45,57,237],"failure":[34],"would":[35],"need":[36],"gapped-OPDM":[38],"state":[39,47,87,128,239],"cannot":[41],"be":[42],"joined":[43,235],"to":[44,74,88,163,229,233,236],"Gaussian":[46,238],"without":[48],"closing":[49],"gap,":[51],"and":[52,112,154,192,194],"did":[53],"not":[54,222,244],"know":[55],"such":[56,61,225],"state.":[58],"We":[59],"construct":[60],"states.":[62],"One":[63],"layer":[64],"commuting,":[66],"on-site,":[67],"charge-conserving":[68],"gates,":[69],"each":[70],"coupling":[71],"orbital":[73],"ancilla":[76],"pair":[77],"holding":[78],"one":[79],"fermion,":[80],"maps":[81],"\u03c1":[84,95],"any":[86],"\u03bb\u00b2\u03c1":[89],"+":[90],"(1":[91],"\u2212":[92],"\u03bb\u00b2)":[93],"diag":[94],"on":[96,123],"original":[98],"orbitals,":[99],"\u03bb":[101],"cosine":[103],"gate":[106],"angle,":[107],"at":[108,165],"constant":[109],"many-body":[110],"spectrum":[111],"Hall":[113,151],"conductance.":[114],"At":[115],"full":[116],"dephasing,":[117],"for":[118],"integer":[120],"mean":[121],"charge":[122],"every":[124],"site,":[125],"dressed":[127,201],"has":[129],"two-point":[131],"functions":[132],"on-site":[135,147,209],"product":[136],"state,":[137],"so":[138],"two":[139],"gapped":[140],"ground":[141],"states":[142,234],"same":[145],"gapped,":[146],"can":[149],"conductances":[152],"e\u00b2/h":[153],"0.":[155],"For":[156],"translation-invariant":[157],"two-band":[158],"insulators":[159],"marker":[161],"drops":[162],"zero":[164],"exact":[167],"threshold;":[168],"certified":[169],"witnesses":[170],"in":[171,183,214],"Qi\u2013Wu\u2013Zhang":[173],"model":[174],"and,":[175],"time-reversal-symmetric":[178],"version":[179],"dressing,":[182],"Kitaev":[185],"chain":[186],"gaps":[189],"above":[190],"0.33":[191],"0.13":[193],"0":[196],"inside":[197],"nontrivial":[198],"phases.":[199],"The":[200],"Hamiltonians":[202],"are":[203,243],"free":[204],"models":[205],"rotated":[206],"by":[207],"unitary,":[210],"strongly":[211],"only":[213],"bare-fermion":[216,219],"basis;":[217],"is":[221],"covariant":[223],"under":[224],"unitaries.":[226],"Statements":[227],"restricted":[228],"weak":[230],"interactions,":[231],"or":[232],"within":[240],"phase,":[242],"contradicted.":[245]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-11T00:00:00"}
