{"id":"https://openalex.org/W7214010036","doi":"https://doi.org/10.48550/arxiv.2609.23195","title":"Localized charges, reset noise, and boundary memory in matrix-product-conserving quantum chains","display_name":"Localized charges, reset noise, and boundary memory in matrix-product-conserving quantum chains","publication_year":2026,"publication_date":"2026-09-19","ids":{"openalex":"https://openalex.org/W7214010036","doi":"https://doi.org/10.48550/arxiv.2609.23195"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.23195","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.23195","pdf_url":"https://arxiv.org/pdf/2609.23195","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/2609.23195","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065488751","display_name":"Ron Rubin","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rubin, Ron","raw_affiliation_strings":["Scientific, Inc"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Scientific, Inc","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5065488751"],"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/T11804","display_name":"Quantum many-body systems","score":0.7465999722480774,"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/T11804","display_name":"Quantum many-body systems","score":0.7465999722480774,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.16869999468326569,"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":0.04349999874830246,"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/conserved-charges","display_name":"conserved charges","score":0.7870000004768372},{"id":"https://openalex.org/keywords/reset-noise","display_name":"reset noise","score":0.8899999856948853},{"id":"https://openalex.org/keywords/products-of-random-matrices","display_name":"random matrix products","score":0.6589999794960022}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.5555999875068665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5324000120162964},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.45210000872612},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.4404999911785126},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43209999799728394},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42879998683929443},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4259999990463257},{"id":"https://openalex.org/C188082385","wikidata":"https://www.wikidata.org/wiki/Q73792","display_name":"Charge (physics)","level":2,"score":0.4185999929904938},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.3840000033378601},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3677999973297119},{"id":"https://openalex.org/C77246614","wikidata":"https://www.wikidata.org/wiki/Q1409400","display_name":"Gramian matrix","level":3,"score":0.3571999967098236},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.3544999957084656},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.34850001335144043},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.3391999900341034},{"id":"https://openalex.org/C2777042071","wikidata":"https://www.wikidata.org/wiki/Q6509304","display_name":"Leakage (economics)","level":2,"score":0.3345000147819519},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.3190999925136566},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3041999936103821},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.30219998955726624},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30079999566078186},{"id":"https://openalex.org/C135694725","wikidata":"https://www.wikidata.org/wiki/Q1201087","display_name":"Detailed balance","level":2,"score":0.29350000619888306},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.28679999709129333},{"id":"https://openalex.org/C124657808","wikidata":"https://www.wikidata.org/wiki/Q1133068","display_name":"Quantum dot","level":2,"score":0.28610000014305115},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.28369998931884766},{"id":"https://openalex.org/C95439218","wikidata":"https://www.wikidata.org/wiki/Q1666173","display_name":"Interlacing","level":2,"score":0.27959999442100525},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2685000002384186},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.26649999618530273},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2655999958515167},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.25859999656677246},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.2572999894618988},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.2558000087738037},{"id":"https://openalex.org/C55310301","wikidata":"https://www.wikidata.org/wiki/Q75384","display_name":"Transmission coefficient","level":3,"score":0.2547000050544739},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.25119999051094055},{"id":"https://openalex.org/C2779795794","wikidata":"https://www.wikidata.org/wiki/Q7315343","display_name":"Reset (finance)","level":2,"score":0.25119999051094055}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.23195","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.23195","pdf_url":"https://arxiv.org/pdf/2609.23195","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.2609.23195","doi":"https://doi.org/10.48550/arxiv.2609.23195","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.23195","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:2609.23195","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.23195","pdf_url":"https://arxiv.org/pdf/2609.23195","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/W7214010036.pdf","grobid_xml":"https://content.openalex.org/works/W7214010036.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1481217622","https://openalex.org/W1976865215","https://openalex.org/W1998916018","https://openalex.org/W2006369356","https://openalex.org/W2015683881","https://openalex.org/W2025577156","https://openalex.org/W2026391697","https://openalex.org/W2032839191","https://openalex.org/W2058269019","https://openalex.org/W2068143801","https://openalex.org/W2070688644","https://openalex.org/W2086605818","https://openalex.org/W2087583851","https://openalex.org/W2088322284","https://openalex.org/W2153845040","https://openalex.org/W2315421302","https://openalex.org/W2330852812","https://openalex.org/W2405530305","https://openalex.org/W2529970542","https://openalex.org/W2594549211","https://openalex.org/W2798530978","https://openalex.org/W2803919673","https://openalex.org/W2936152278","https://openalex.org/W2938004287","https://openalex.org/W2980324323","https://openalex.org/W3041946793","https://openalex.org/W3137070360","https://openalex.org/W3194488677","https://openalex.org/W3196716344","https://openalex.org/W4233413206","https://openalex.org/W4396986598","https://openalex.org/W4404404419","https://openalex.org/W4406810921","https://openalex.org/W4407240977","https://openalex.org/W4414755506","https://openalex.org/W6966660019","https://openalex.org/W7134278866","https://openalex.org/W7160077400","https://openalex.org/W7160940053"],"related_works":["https://openalex.org/W7223016396","https://openalex.org/W7064751885","https://openalex.org/W4387780652","https://openalex.org/W3094099024","https://openalex.org/W7214958379","https://openalex.org/W7215060030","https://openalex.org/W7212451075","https://openalex.org/W2605823863","https://openalex.org/W7213864670","https://openalex.org/W7203472204"],"abstract_inverted_index":{"We":[0,213],"construct":[1],"boundary":[2],"observables":[3],"that":[4],"retain":[5],"memory":[6,117],"for":[7,66,105,129,166],"a":[8,19,42,63,67,72,94,137,167],"quantified":[9],"time":[10],"window":[11,118],"in":[12,45,119],"quantum":[13],"chains":[14],"whose":[15],"basis":[16,50],"configurations":[17],"carry":[18],"conserved":[20,43,68],"ordered":[21],"product":[22],"of":[23,37,96,223],"matrix":[24,39],"labels.":[25],"Under":[26],"strong-irreducibility":[27],"and":[28,59,80,99,133,152,160,219],"proximality":[29],"hypotheses":[30],"on":[31],"the":[32,46,81,120,123,150,156,182,202,210,224],"label":[33],"matrices,":[34],"projective":[35],"contraction":[36],"random":[38],"products":[40],"localizes":[41],"charge":[44,151,173],"root-mean-square":[47,145],"over":[48],"uniform":[49],"configurations.":[51],"A":[52,170,197],"finite-time":[53],"inequality":[54],"then":[55],"converts":[56],"readout":[57,73,184],"overlap":[58],"reset":[60,204],"leakage":[61,77],"into":[62],"correlation":[64,185],"bound:":[65],"reference":[69],"observable":[70],"$H$,":[71],"$F$,":[74],"accumulated":[75],"squared":[76],"$\\mathcal":[78],"B$,":[79],"normalized":[82],"Hilbert-Schmidt":[83],"inner":[84],"product,":[85],"$\\langle":[86],"F,\u03a6(F)\\rangle\\ge":[87],"2\\langle":[88],"H,F\\rangle^2/(\\|H\\|_2^2+\\mathcal":[89],"B)-\\|F\\|_2^2$.":[90],"Here":[91],"$\u03a6$":[92],"is":[93],"sequence":[95],"conserving":[97],"channels":[98],"partial":[100],"resets.":[101],"The":[102],"bound":[103],"holds":[104],"each":[106],"such":[107],"circuit,":[108],"without":[109],"averaging":[110],"its":[111,153],"gates.":[112],"It":[113],"yields":[114],"an":[115,175,193,220],"exponential":[116],"distance":[121],"from":[122],"noisy":[124],"region,":[125],"with":[126],"quantitative":[127],"corrections":[128],"spatially":[130],"distributed":[131],"noise":[132],"imperfect":[134],"conservation.":[135],"For":[136],"thirteen-state":[138],"elementary-matrix":[139],"model,":[140],"exact":[141,216],"polynomial":[142],"certificates":[143],"give":[144],"localization":[146],"error":[147],"$e^{-r/1400}$":[148],"between":[149],"restriction":[154],"to":[155],"last":[157],"$r$":[158],"sites,":[159],"limiting":[161],"variance":[162],"at":[163],"least":[164],"$1/19$":[165],"rational":[168],"charge.":[169],"related":[171],"normalized-Gram":[172],"gives":[174],"eight-site":[176],"certificate":[177,217],"retaining":[178],"more":[179],"than":[180],"half":[181],"specified":[183],"through":[186],"two":[187],"boundary-reset":[188],"rounds.":[189],"Uniform":[190],"depolarization":[191],"imposes":[192],"inverse-noise-rate":[194],"lifetime":[195],"ceiling.":[196],"two-qubit":[198],"IBM":[199],"experiment":[200],"illustrates":[201],"general":[203],"inequality;":[205],"it":[206],"does":[207],"not":[208],"realize":[209],"matrix-product":[211],"chain.":[212],"provide":[214],"proofs,":[215],"programs,":[218],"independent":[221],"recount":[222],"archived":[225],"experimental":[226],"outcomes.":[227]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-23T00:00:00"}
