{"id":"https://openalex.org/W4289445523","doi":"https://doi.org/10.48550/arxiv.2207.14787","title":"Fermionic tomography and learning","display_name":"Fermionic tomography and learning","publication_year":2022,"publication_date":"2022-07-29","ids":{"openalex":"https://openalex.org/W4289445523","doi":"https://doi.org/10.48550/arxiv.2207.14787"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2207.14787","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2207.14787","pdf_url":"https://arxiv.org/pdf/2207.14787","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2207.14787","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015113066","display_name":"Bryan O\u2019Gorman","orcid":"https://orcid.org/0000-0001-5164-8083"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"O'Gorman, Bryan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5015113066"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":9,"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":0.9904999732971191,"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":0.9904999732971191,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9868000149726868,"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/T12588","display_name":"Electronic and Structural Properties of Oxides","score":0.9718999862670898,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.6514397859573364},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6089586019515991},{"id":"https://openalex.org/keywords/shadow","display_name":"Shadow (psychology)","score":0.5565457344055176},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5015318393707275},{"id":"https://openalex.org/keywords/quantum-tomography","display_name":"Quantum tomography","score":0.5014338493347168},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.49413278698921204},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45350244641304016},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.4464595913887024},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44484150409698486},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.44265931844711304},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.4186595380306244},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40690916776657104},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3960426449775696},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.39386099576950073},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3349747359752655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33113348484039307},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3276607394218445},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20331549644470215},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16082924604415894}],"concepts":[{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.6514397859573364},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6089586019515991},{"id":"https://openalex.org/C117797892","wikidata":"https://www.wikidata.org/wiki/Q286363","display_name":"Shadow (psychology)","level":2,"score":0.5565457344055176},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5015318393707275},{"id":"https://openalex.org/C166834278","wikidata":"https://www.wikidata.org/wiki/Q4218494","display_name":"Quantum tomography","level":4,"score":0.5014338493347168},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.49413278698921204},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45350244641304016},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.4464595913887024},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44484150409698486},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.44265931844711304},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.4186595380306244},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40690916776657104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3960426449775696},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39386099576950073},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3349747359752655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33113348484039307},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3276607394218445},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20331549644470215},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16082924604415894},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2207.14787","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2207.14787","pdf_url":"https://arxiv.org/pdf/2207.14787","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2207.14787","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2207.14787","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2207.14787","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2207.14787","pdf_url":"https://arxiv.org/pdf/2207.14787","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2994983057","https://openalex.org/W2965462801","https://openalex.org/W2790865860","https://openalex.org/W3100430039","https://openalex.org/W4387635615","https://openalex.org/W2044090207","https://openalex.org/W4293578136","https://openalex.org/W1967249801","https://openalex.org/W4302813079","https://openalex.org/W2884683109"],"abstract_inverted_index":{"Shadow":[0],"tomography":[1],"via":[2],"classical":[3],"shadows":[4],"is":[5],"a":[6,13,18,23,48,71],"state-of-the-art":[7],"approach":[8,29],"for":[9,51,67,78],"estimating":[10],"properties":[11],"of":[12,22,27,34,54,82,98,141],"quantum":[14,106],"state.":[15],"We":[16,57,92,113],"present":[17],"simplified,":[19],"combinatorial":[20],"analysis":[21],"recently":[24],"proposed":[25],"instantiation":[26],"this":[28,44,61],"based":[30],"on":[31],"the":[32,52,55,68,83,103,142],"ensemble":[33],"unitaries":[35],"that":[36,101,119],"are":[37],"both":[38],"fermionic":[39,73],"Gaussian":[40,74],"and":[41,77],"Clifford.":[42],"Using":[43],"analysis,":[45],"we":[46],"derive":[47],"corrected":[49],"expression":[50],"variance":[53],"estimator.":[56],"then":[58],"show":[59,118],"how":[60],"leads":[62],"to":[63,117,128],"efficient":[64],"estimation":[65],"protocols":[66],"fidelity":[69,131],"with":[70,111],"pure":[72],"state":[75],"(provably)":[76],"an":[79,120],"$X$-like":[80],"operator":[81],"form":[84],"($|\\mathbf":[85],"0\\rangle\\langle\u03c8|$":[86],"+":[87],"h.c.)":[88],"(via":[89],"numerical":[90],"evidence).":[91],"also":[93],"construct":[94],"much":[95],"smaller":[96],"ensembles":[97],"measurement":[99],"bases":[100],"yield":[102],"exact":[104],"same":[105],"channel,":[107],"which":[108],"may":[109],"help":[110],"compilation.":[112],"use":[114],"these":[115],"tools":[116],"$n$-electron,":[121],"$m$-mode":[122],"Slater":[123,143],"determinant":[124],"can":[125],"be":[126],"learned":[127],"within":[129],"$\u03b5$":[130],"given":[132],"$O(n^2":[133],"m^7":[134],"\\log(m":[135],"/":[136,138],"\u03b4)":[137],"\u03b5^2)$":[139],"samples":[140],"determinant.":[144]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-04T08:30:34.212998","created_date":"2025-10-10T00:00:00"}
