{"id":"https://openalex.org/W7223269411","doi":"https://doi.org/10.48550/arxiv.2610.30315","title":"Normal-Form Characterization of Adaptivity and Entanglement in Pauli-Based Computation","display_name":"Normal-Form Characterization of Adaptivity and Entanglement in Pauli-Based Computation","publication_year":2026,"publication_date":"2026-10-21","ids":{"openalex":"https://openalex.org/W7223269411","doi":"https://doi.org/10.48550/arxiv.2610.30315"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.30315","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30315","pdf_url":"https://arxiv.org/pdf/2610.30315","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/2610.30315","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064858856","display_name":"Filipa C. R. Peres","orcid":"https://orcid.org/0000-0003-2465-4546","observed_orcids":["https://orcid.org/0000-0003-2465-4546"]},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]},{"id":"https://openalex.org/I173304897","display_name":"Universidad de Granada","ror":"https://ror.org/04njjy449","country_code":"ES","type":"education","lineage":["https://openalex.org/I173304897"]}],"countries":["AT","ES"],"is_corresponding":false,"raw_author_name":"Peres, Filipa C. R.","raw_affiliation_strings":["Department for Quantum Information and Computation at Kepler (QUICK) , Johannes Kepler University , Linz , Austria","Quantum Thermodynamics and Computation Group , Electromagnetism and Matter Physics Department , University of Granada , Granada , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department for Quantum Information and Computation at Kepler (QUICK) , Johannes Kepler University , Linz , Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Quantum Thermodynamics and Computation Group , Electromagnetism and Matter Physics Department , University of Granada , Granada , Spain","institution_ids":["https://openalex.org/I173304897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087138463","display_name":"Selman Ipek","orcid":"https://orcid.org/0000-0002-4475-4221","observed_orcids":["https://orcid.org/0000-0002-4475-4221"]},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]},{"id":"https://openalex.org/I168864056","display_name":"Bilkent University","ror":"https://ror.org/02vh8a032","country_code":"TR","type":"education","lineage":["https://openalex.org/I168864056"]}],"countries":["DE","TR"],"is_corresponding":false,"raw_author_name":"Ipek, Selman","raw_affiliation_strings":["Department of Mathematics , Bilkent University , Ankara , Turkey","Institut f\u00fcr Theoretische Physik , Leibniz Universit\u00e4t Hannover , Hannover , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Bilkent University , Ankara , Turkey","institution_ids":["https://openalex.org/I168864056"]},{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik , Leibniz Universit\u00e4t Hannover , Hannover , Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052981923","display_name":"Daniel Lovsted","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Lovsted, Daniel","raw_affiliation_strings":["Department of Mathematics and Statistics , University of Ottawa , Ottawa , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Ottawa , Ottawa , Canada","institution_ids":["https://openalex.org/I153718931"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014021420","display_name":"Joshua Nevin","orcid":"https://orcid.org/0009-0006-2469-3384","observed_orcids":["https://orcid.org/0009-0006-2469-3384"]},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Nevin, Joshua","raw_affiliation_strings":["Department of Mathematics and Statistics , University of Ottawa , Ottawa , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Ottawa , Ottawa , Canada","institution_ids":["https://openalex.org/I153718931"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034032202","display_name":"Anne Broadbent","orcid":"https://orcid.org/0000-0003-1911-0093","observed_orcids":["https://orcid.org/0000-0003-1911-0093"]},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Broadbent, Anne","raw_affiliation_strings":["Department of Mathematics and Statistics , University of Ottawa , Ottawa , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Ottawa , Ottawa , Canada","institution_ids":["https://openalex.org/I153718931"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":5,"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":0.9951000213623047,"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":0.9951000213623047,"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":0.0038999998942017555,"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":0.0005000000237487257,"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/normal-forms","display_name":"normal forms","score":0.7760000228881836},{"id":"https://openalex.org/keywords/adaptive-quantum-computation","display_name":"adaptive quantum computation","score":0.5929999947547913},{"id":"https://openalex.org/keywords/entanglement-structure","display_name":"entanglement structure","score":0.890999972820282},{"id":"https://openalex.org/keywords/clifford-t-circuits","display_name":"Clifford+T circuits","score":0.8980000019073486},{"id":"https://openalex.org/keywords/one-way-quantum-computing","display_name":"one-way quantum computation","score":0.8579999804496765},{"id":"https://openalex.org/keywords/distributed-quantum-computing","display_name":"distributed quantum computing","score":0.8320000171661377}],"concepts":[{"id":"https://openalex.org/C182953411","wikidata":"https://www.wikidata.org/wiki/Q917713","display_name":"Controlled NOT gate","level":5,"score":0.7980999946594238},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.7053999900817871},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6996999979019165},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6518999934196472},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.6026999950408936},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5307000279426575},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.5257999897003174},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4894999861717224},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.44699999690055847},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.44449999928474426},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41679999232292175},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40149998664855957},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3959999978542328},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.38589999079704285},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.3698999881744385},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.3601999878883362},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.34549999237060547},{"id":"https://openalex.org/C59500034","wikidata":"https://www.wikidata.org/wiki/Q1464944","display_name":"Quantum Fourier transform","level":5,"score":0.3440000116825104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3366999924182892},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.3312000036239624},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.3190999925136566},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.30489999055862427},{"id":"https://openalex.org/C190463098","wikidata":"https://www.wikidata.org/wiki/Q2081419","display_name":"Quantum technology","level":4,"score":0.2985999882221222},{"id":"https://openalex.org/C184596265","wikidata":"https://www.wikidata.org/wiki/Q2651576","display_name":"Model of computation","level":3,"score":0.29600000381469727},{"id":"https://openalex.org/C2994168587","wikidata":"https://www.wikidata.org/wiki/Q5295","display_name":"Random access memory","level":2,"score":0.29100000858306885},{"id":"https://openalex.org/C95466800","wikidata":"https://www.wikidata.org/wiki/Q1027298","display_name":"Quantum key distribution","level":3,"score":0.28690001368522644},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.27390000224113464},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.26330000162124634},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.260699987411499}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.30315","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30315","pdf_url":"https://arxiv.org/pdf/2610.30315","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.2610.30315","doi":"https://doi.org/10.48550/arxiv.2610.30315","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.30315","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:2610.30315","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.30315","pdf_url":"https://arxiv.org/pdf/2610.30315","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223269411.pdf","grobid_xml":"https://content.openalex.org/works/W7223269411.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W3117683238","https://openalex.org/W4396244267","https://openalex.org/W4403763966","https://openalex.org/W4404347107","https://openalex.org/W4415135947","https://openalex.org/W4416039535","https://openalex.org/W4417174514","https://openalex.org/W7128807036","https://openalex.org/W7213578224"],"related_works":["https://openalex.org/W4387311438","https://openalex.org/W4416888690","https://openalex.org/W4386724119","https://openalex.org/W7160399626","https://openalex.org/W4416875580","https://openalex.org/W4405036000","https://openalex.org/W4389793977","https://openalex.org/W7131375222","https://openalex.org/W1789015869","https://openalex.org/W3199981057"],"abstract_inverted_index":{"Pauli-based":[0],"computation":[1,9,56],"(PBC)":[2],"is":[3],"a":[4,22],"measurement-based":[5],"model":[6],"of":[7,15,71,95],"quantum":[8,40,93,97],"that":[10,26],"samples":[11],"from":[12],"output":[13],"distributions":[14],"universal":[16],"Clifford+$T$":[17],"circuits.":[18],"Here,":[19],"we":[20],"provide":[21],"normal":[23],"form":[24],"(NF)":[25],"completely":[27],"characterizes":[28],"its":[29],"adaptive":[30],"and":[31,57,92,103],"entanglement":[32],"structures.":[33],"These":[34],"insights":[35],"unify":[36],"PBC":[37],"with":[38],"one-way":[39],"computing":[41],"as":[42],"dual":[43],"or":[44],"`time-reversed'":[45],"counterparts.":[46],"We":[47,62],"use":[48],"the":[49,69],"NF":[50,80],"to":[51],"advance":[52],"strategies":[53],"for":[54],"distributed":[55],"investigate":[58],"magic-state":[59,73],"injection":[60],"rates.":[61],"also":[63],"demonstrate":[64],"an":[65],"exponential":[66],"improvement":[67],"in":[68],"detection":[70],"unnecessary":[72],"qubits,":[74],"allowing":[75],"their":[76],"efficient":[77],"removal.":[78],"Our":[79],"further":[81],"enables":[82],"ahead-of-time":[83],"circuit":[84],"compilation":[85],"using":[86],"PBC,":[87],"reducing":[88],"CNOT":[89],"gate":[90],"count":[91],"memory":[94],"random":[96],"circuits":[98],"on":[99],"average":[100],"by":[101],"50%":[102],"40%,":[104],"respectively,":[105],"beating":[106],"other":[107],"state-of-the-art":[108],"compilers.":[109]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-24T00:00:00"}