{"id":"https://openalex.org/W7220689264","doi":"https://doi.org/10.48550/arxiv.2610.04556","title":"The collapse time of weak measurement on $N$ entangled sites","display_name":"The collapse time of weak measurement on $N$ entangled sites","publication_year":2026,"publication_date":"2026-10-03","ids":{"openalex":"https://openalex.org/W7220689264","doi":"https://doi.org/10.48550/arxiv.2610.04556"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.04556","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04556","pdf_url":"https://arxiv.org/pdf/2610.04556","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/2610.04556","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083277745","display_name":"Truong\u2010Son Van","orcid":"https://orcid.org/0000-0002-7541-9653","observed_orcids":["https://orcid.org/0000-0002-7541-9653"]},"institutions":[{"id":"https://openalex.org/I47265099","display_name":"Ho Chi Minh City University of Technology","ror":"https://ror.org/04qva2324","country_code":"VN","type":"education","lineage":["https://openalex.org/I123565023","https://openalex.org/I47265099"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Van, Truong-Son P.","raw_affiliation_strings":["Ho Chi Minh City University of Technology ,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ho Chi Minh City University of Technology ,","institution_ids":["https://openalex.org/I47265099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091421596","display_name":"David W. Snoke","orcid":"https://orcid.org/0000-0001-8207-6524","observed_orcids":["https://orcid.org/0000-0001-8207-6524"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Snoke, David W.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9976000189781189,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.0010999999940395355,"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":9.999999747378752e-05,"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/weak-measurement","display_name":"weak measurement","score":0.949999988079071},{"id":"https://openalex.org/keywords/wave-function-collapse","display_name":"wave function collapse","score":0.6179999709129333},{"id":"https://openalex.org/keywords/asymptotic-scaling","display_name":"asymptotic scaling","score":0.5799999833106995},{"id":"https://openalex.org/keywords/conditional-probability","display_name":"conditional probability","score":0.5270000100135803},{"id":"https://openalex.org/keywords/measurement-time","display_name":"measurement time","score":0.32199999690055847}],"concepts":[{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.6139000058174133},{"id":"https://openalex.org/C50150098","wikidata":"https://www.wikidata.org/wiki/Q2607127","display_name":"Weak measurement","level":3,"score":0.5785999894142151},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5734000205993652},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5418000221252441},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4884999990463257},{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.48159998655319214},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3968999981880188},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38530001044273376},{"id":"https://openalex.org/C44492722","wikidata":"https://www.wikidata.org/wiki/Q327069","display_name":"Conditional probability","level":2,"score":0.3508000075817108},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3197000026702881},{"id":"https://openalex.org/C19619285","wikidata":"https://www.wikidata.org/wiki/Q196372","display_name":"Observational error","level":2,"score":0.2797999978065491},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2596000134944916},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.2587999999523163},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.25760000944137573},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.2558000087738037},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.2529999911785126},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.25220000743865967}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.04556","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04556","pdf_url":"https://arxiv.org/pdf/2610.04556","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.2610.04556","doi":"https://doi.org/10.48550/arxiv.2610.04556","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.04556","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:2610.04556","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04556","pdf_url":"https://arxiv.org/pdf/2610.04556","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220689264.pdf","grobid_xml":"https://content.openalex.org/works/W7220689264.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4408656409","https://openalex.org/W2594098639","https://openalex.org/W165079346","https://openalex.org/W4407911208","https://openalex.org/W1773455135","https://openalex.org/W7139924000","https://openalex.org/W2547266345","https://openalex.org/W2049593353","https://openalex.org/W2976181291","https://openalex.org/W2704856565"],"abstract_inverted_index":{"We":[0,61],"determine":[1,105],"the":[2,23,53,64,75,82,93],"time":[3,48,56],"required":[4],"for":[5],"local":[6],"weak":[7],"measurements":[8],"to":[9,11,71,78],"collapse":[10],"one":[12],"occupied":[13],"site":[14,77],"in":[15,22,45,50],"an":[16],"initial":[17,32],"superposition":[18],"of":[19,25,52,58,68],"$N$":[20],"alternatives":[21],"model":[24],"PRA":[26],"111,":[27],"032217":[28],"(2025).":[29],"For":[30],"equal":[31],"occupation":[33],"probabilities":[34],"and":[35],"a":[36,72,106,111],"fixed":[37],"confidence":[38],"threshold":[39],"$1-\u03b4$,":[40],"we":[41],"prove":[42],"$T_N/\\ln":[43],"N\\to1/2$":[44],"$L^1$,":[46],"with":[47,85],"measured":[49],"units":[51],"characteristic":[54],"measurement":[55],"$\u03c4_m$":[57],"each":[59],"detector.":[60],"also":[62],"connect":[63],"asymptotic":[65,97,108],"stabilization":[66],"theorem":[67],"that":[69],"work":[70],"finite":[73],"measurement:":[74],"first":[76],"reach":[79],"$1-\u03b4$":[80],"is":[81],"eventual":[83],"outcome":[84],"conditional":[86],"probability":[87],"exactly":[88],"$1-\u03b4$.":[89],"The":[90,99],"result":[91],"corrects":[92],"previously":[94],"proposed":[95],"double-logarithmic":[96],"scaling.":[98],"finite-range":[100],"numerical":[101],"fit":[102],"does":[103],"not":[104],"constant":[107],"correction":[109],"or":[110],"precise":[112],"finite-$N$":[113],"law.":[114]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-07T00:00:00"}
