{"id":"https://openalex.org/W7204185238","doi":"https://doi.org/10.48550/arxiv.2608.21437","title":"The Pauli Probability Spectrum Carries the Pure-State Quantum Fisher Metric","display_name":"The Pauli Probability Spectrum Carries the Pure-State Quantum Fisher Metric","publication_year":2026,"publication_date":"2026-08-17","ids":{"openalex":"https://openalex.org/W7204185238","doi":"https://doi.org/10.48550/arxiv.2608.21437"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.21437","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.21437","pdf_url":"https://arxiv.org/pdf/2608.21437","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.21437","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5138637053","display_name":"E. A. Ramirez Trino","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Trino, E. A. Ramirez","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5122367999","display_name":"M. A. Rajabpour","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I161127581","display_name":"Universidade Federal Fluminense","ror":"https://ror.org/02rjhbb08","country_code":"BR","type":"education","lineage":["https://openalex.org/I161127581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Rajabpour, M. A.","raw_affiliation_strings":["Instituto de F\u00edsica , Universidade Federal Fluminense , Av. Gal. Milton Tavares de Souza s/n , Gragoat\u00e1 , 24210-346 , Niter\u00f3i , RJ , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de F\u00edsica , Universidade Federal Fluminense , Av. Gal. Milton Tavares de Souza s/n , Gragoat\u00e1 , 24210-346 , Niter\u00f3i , RJ , Brazil","institution_ids":["https://openalex.org/I161127581"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.3801000118255615,"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":0.3801000118255615,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.2583000063896179,"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/T11804","display_name":"Quantum many-body systems","score":0.23970000445842743,"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/bell-measurement","display_name":"Bell measurement","score":0.6650000214576721},{"id":"https://openalex.org/keywords/quantum-many-body-states","display_name":"quantum many-body states","score":0.7609999775886536},{"id":"https://openalex.org/keywords/quantum-geometry","display_name":"quantum geometry","score":0.7160000205039978},{"id":"https://openalex.org/keywords/quantum-metrology","display_name":"quantum metrology","score":0.6460000276565552},{"id":"https://openalex.org/keywords/entanglement","display_name":"entanglement","score":0.6840000152587891},{"id":"https://openalex.org/keywords/nonstabilizerness","display_name":"nonstabilizerness","score":0.8370000123977661},{"id":"https://openalex.org/keywords/mixed-states","display_name":"mixed states","score":0.5600000023841858},{"id":"https://openalex.org/keywords/quantum-classical-correspondence","display_name":"quantum-classical correspondence","score":0.5830000042915344}],"concepts":[{"id":"https://openalex.org/C110340908","wikidata":"https://www.wikidata.org/wiki/Q131594","display_name":"Pauli exclusion principle","level":2,"score":0.8090999722480774},{"id":"https://openalex.org/C29406490","wikidata":"https://www.wikidata.org/wiki/Q1420659","display_name":"Fisher information","level":2,"score":0.6399000287055969},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.636900007724762},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6255999803543091},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.5212000012397766},{"id":"https://openalex.org/C180347388","wikidata":"https://www.wikidata.org/wiki/Q336233","display_name":"Pauli matrices","level":2,"score":0.4278999865055084},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3991999924182892},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.397599995136261},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3937999904155731},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.38920000195503235},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.3691999912261963},{"id":"https://openalex.org/C45542137","wikidata":"https://www.wikidata.org/wiki/Q381040","display_name":"Complex conjugate","level":2,"score":0.36899998784065247},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.36239999532699585},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3515999913215637},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.34950000047683716},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3481000065803528},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.34619998931884766},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.3440999984741211},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.3343999981880188},{"id":"https://openalex.org/C184049767","wikidata":"https://www.wikidata.org/wiki/Q5141355","display_name":"Coherent information","level":5,"score":0.31869998574256897},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3156999945640564},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2793000042438507},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.2786000072956085},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.27059999108314514},{"id":"https://openalex.org/C122203268","wikidata":"https://www.wikidata.org/wiki/Q5862903","display_name":"Probability theory","level":2,"score":0.2572000026702881}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.21437","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.21437","pdf_url":"https://arxiv.org/pdf/2608.21437","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.2608.21437","doi":"https://doi.org/10.48550/arxiv.2608.21437","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.21437","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:2608.21437","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.21437","pdf_url":"https://arxiv.org/pdf/2608.21437","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/G8118661178","display_name":null,"funder_award_id":"141672/2023-4","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204185238.pdf","grobid_xml":"https://content.openalex.org/works/W7204185238.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1590177106","https://openalex.org/W2041054267","https://openalex.org/W2170417071","https://openalex.org/W2968507040","https://openalex.org/W7096824186","https://openalex.org/W7214126071","https://openalex.org/W7171386684","https://openalex.org/W2000664265","https://openalex.org/W2037905966","https://openalex.org/W1426743739"],"abstract_inverted_index":{"How":[0],"a":[1,22,73,79,84,209],"quantum":[2,27,68,103,219],"state":[3,10,85],"responds":[4],"to":[5,72,149,202],"small":[6],"parameter":[7,142],"changes":[8],"underlies":[9],"distinguishability,":[11],"many-body":[12,26,134,215],"response,":[13,216],"and":[14,91,136,157,189,218],"metrological":[15],"sensitivity.":[16],"The":[17,121],"Pauli":[18,55],"probability":[19],"spectrum":[20],"provides":[21],"natural":[23],"description":[24],"of":[25,36,62,99,113,152,179],"states,":[28,51,135],"but":[29],"it":[30],"is":[31,123,200],"not":[32],"evident":[33],"how":[34],"much":[35],"this":[37,147],"response":[38,104,139,181],"survives":[39],"in":[40,117,185],"the":[41,52,58,63,67,102,114,118,138,150,153,160,167,174,180,203],"corresponding":[42,97],"classical":[43,108],"distribution.":[44],"Here":[45],"we":[46,170],"show":[47,158],"that,":[48],"for":[49,131,187],"pure":[50],"complete":[53],"labeled":[54],"distribution":[56,109],"retains":[57],"full":[59],"local":[60,127],"metric":[61,70],"pure-state":[64],"manifold,":[65],"reproducing":[66],"Fisher":[69],"up":[71],"fixed":[74],"normalization.":[75],"This":[76],"correspondence":[77,148,168],"has":[78],"direct":[80,210],"measurement":[81],"realization:":[82],"preparing":[83],"together":[86],"with":[87],"its":[88],"complex":[89],"conjugate":[90],"performing":[92],"pairwise":[93,128],"Bell":[94,204],"measurements":[95,129],"between":[96,212],"degrees":[98],"freedom":[100],"converts":[101],"into":[105,126],"an":[106],"ordinary":[107],"without":[110],"losing":[111],"any":[112],"sensitivity":[115],"available":[116],"two":[119],"inputs.":[120],"readout":[122],"fixed,":[124],"factorizes":[125],"even":[130],"strongly":[132],"entangled":[133],"preserves":[137],"along":[140],"all":[141],"directions":[143],"simultaneously.":[144],"We":[145],"trace":[146],"reality":[151],"underlying":[154],"operator":[155],"amplitudes":[156],"that":[159,199],"same":[161],"mechanism":[162],"extends":[163],"beyond":[164],"qubits.":[165],"When":[166],"fails,":[169],"identify":[171],"explicitly":[172],"where":[173],"missing":[175],"information":[176],"resides:":[177],"part":[178],"can":[182],"remain":[183],"hidden":[184],"phases":[186],"identical-copy":[188],"complex-coordinate":[190],"readouts,":[191],"while":[192],"mixed":[193],"states":[194],"develop":[195],"transverse":[196],"operator-space":[197],"motion":[198],"invisible":[201],"probabilities.":[205],"These":[206],"results":[207],"provide":[208],"link":[211],"Pauli/Bell":[213],"statistics,":[214],"nonstabilizerness,":[217],"geometry.":[220]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-08-26T00:00:00"}
