{"id":"https://openalex.org/W7220698987","doi":"https://doi.org/10.48550/arxiv.2610.03883","title":"On Information Propagation in Krylov Subspaces","display_name":"On Information Propagation in Krylov Subspaces","publication_year":2026,"publication_date":"2026-10-02","ids":{"openalex":"https://openalex.org/W7220698987","doi":"https://doi.org/10.48550/arxiv.2610.03883"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.03883","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03883","pdf_url":"https://arxiv.org/pdf/2610.03883","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/2610.03883","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5019055161","display_name":"Pablo Mart\u00ednez-Azcona","orcid":"https://orcid.org/0000-0002-9553-2610","observed_orcids":["https://orcid.org/0000-0002-9553-2610"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martinez-Azcona, Pablo","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5126620926","display_name":"Maximilian Meyer-M\u00f6lleringhof","orcid":"https://orcid.org/0009-0002-2237-8058","observed_orcids":["https://orcid.org/0009-0002-2237-8058"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Meyer-Moelleringhof, Maximilian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085731727","display_name":"Adolfo del Campo","orcid":"https://orcid.org/0000-0003-2219-2851","observed_orcids":["https://orcid.org/0000-0003-2219-2851"]},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]},{"id":"https://openalex.org/I47686490","display_name":"Donostia International Physics Center","ror":"https://ror.org/02e24yw40","country_code":"ES","type":"other","lineage":["https://openalex.org/I47686490"]}],"countries":["ES","LU"],"is_corresponding":false,"raw_author_name":"del Campo, Adolfo","raw_affiliation_strings":["Department of Physics and Materials Science , University of Luxembourg , L-1511 Luxembourg","Donostia International Physics Center , E-20018 San Sebasti\u00e1n , Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Materials Science , University of Luxembourg , L-1511 Luxembourg","institution_ids":["https://openalex.org/I186903577"]},{"raw_affiliation_string":"Donostia International Physics Center , E-20018 San Sebasti\u00e1n , Spain","institution_ids":["https://openalex.org/I47686490"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058844086","display_name":"Apollonas S. Matsoukas-Roubeas","orcid":"https://orcid.org/0000-0001-5517-0224","observed_orcids":["https://orcid.org/0000-0001-5517-0224"]},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Matsoukas-Roubeas, Apollonas S.","raw_affiliation_strings":["Department of Applied Mathematics and Theoretical Physics , University of Cambridge , Cambridge CB3 0WA , United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Theoretical Physics , University of Cambridge , Cambridge CB3 0WA , United Kingdom","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"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/T11804","display_name":"Quantum many-body systems","score":0.9531000256538391,"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":0.9531000256538391,"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":0.010200000368058681,"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":0.00930000003427267,"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/krylov-subspace-methods","display_name":"Krylov subspace methods","score":0.9570000171661377},{"id":"https://openalex.org/keywords/information-dissemination","display_name":"information dissemination","score":0.7419999837875366},{"id":"https://openalex.org/keywords/lanczos-coefficients","display_name":"Lanczos coefficients","score":0.7570000290870667},{"id":"https://openalex.org/keywords/speed-limits","display_name":"speed limits","score":0.6100000143051147},{"id":"https://openalex.org/keywords/light-cone","display_name":"light cone","score":0.5559999942779541},{"id":"https://openalex.org/keywords/causality","display_name":"causality","score":0.8069999814033508},{"id":"https://openalex.org/keywords/heisenberg-weyl-algebra","display_name":"Heisenberg-Weyl algebra","score":0.9750000238418579},{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.7160000205039978},{"id":"https://openalex.org/keywords/lieb-robinson-bound","display_name":"Lieb-Robinson bound","score":0.9679999947547913},{"id":"https://openalex.org/keywords/spin-chains","display_name":"spin chains","score":0.6949999928474426}],"concepts":[{"id":"https://openalex.org/C119256216","wikidata":"https://www.wikidata.org/wiki/Q913012","display_name":"Lanczos resampling","level":3,"score":0.694599986076355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6693000197410583},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.6330000162124634},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5169000029563904},{"id":"https://openalex.org/C20501136","wikidata":"https://www.wikidata.org/wiki/Q366640","display_name":"Lanczos algorithm","level":4,"score":0.4977000057697296},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.45339998602867126},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.45019999146461487},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.44920000433921814},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42730000615119934},{"id":"https://openalex.org/C154018700","wikidata":"https://www.wikidata.org/wiki/Q898323","display_name":"Path integral formulation","level":3,"score":0.41589999198913574},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.4113999903202057},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.37709999084472656},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3765000104904175},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36739999055862427},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.32499998807907104},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.30410000681877136},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.2971999943256378},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.29589998722076416},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.2913999855518341},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.2897000014781952},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.28450000286102295},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.28380000591278076},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.2799000144004822},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2791999876499176},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27570000290870667},{"id":"https://openalex.org/C191608238","wikidata":"https://www.wikidata.org/wiki/Q5249552","display_name":"Decoherence-free subspaces","level":5,"score":0.263700008392334},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26159998774528503},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.2572000026702881}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.03883","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03883","pdf_url":"https://arxiv.org/pdf/2610.03883","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.2610.03883","doi":"https://doi.org/10.48550/arxiv.2610.03883","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.03883","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.03883","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.03883","pdf_url":"https://arxiv.org/pdf/2610.03883","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/G1795737168","display_name":null,"funder_award_id":"15382998","funder_id":"https://openalex.org/F4320321038","funder_display_name":"Fonds National de la Recherche Luxembourg"},{"id":"https://openalex.org/G3741753645","display_name":null,"funder_award_id":"CRSII_222812","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G942211819","display_name":"UK Multidisciplinary Centre for Neuromorphic Computing","funder_award_id":"UKRI982","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320321038","display_name":"Fonds National de la Recherche Luxembourg","ror":"https://ror.org/039z13y21"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220698987.pdf","grobid_xml":"https://content.openalex.org/works/W7220698987.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1569659832","https://openalex.org/W1810847887","https://openalex.org/W4321018068","https://openalex.org/W4385982366","https://openalex.org/W4386314537","https://openalex.org/W4416101228","https://openalex.org/W4416221185","https://openalex.org/W7092283675","https://openalex.org/W7160618176","https://openalex.org/W7204518613","https://openalex.org/W7215115358"],"related_works":["https://openalex.org/W7204518613","https://openalex.org/W4402500802","https://openalex.org/W3164079413","https://openalex.org/W4290878909","https://openalex.org/W7160618176","https://openalex.org/W4412658025","https://openalex.org/W4386000113","https://openalex.org/W4410382270","https://openalex.org/W3027675519","https://openalex.org/W3150204940"],"abstract_inverted_index":{"Krylov":[0,69],"subspace":[1],"methods":[2],"provide":[3],"an":[4,57],"efficient":[5],"tool":[6],"for":[7,61],"modeling":[8],"any":[9],"quantum":[10],"initial":[11],"value":[12],"problem":[13,131],"as":[14],"a":[15,35,97,119,123],"one":[16],"dimensional":[17],"chain.":[18],"A":[19],"time":[20],"ordered":[21],"path":[22],"formulation,":[23],"in":[24,67,87,96],"which":[25],"the":[26,68,72,82,85,88,107,111,130],"dynamical":[27,40],"generator":[28],"successively":[29],"splits":[30],"probability":[31],"between":[32],"paths,":[33],"yields":[34],"speed":[36],"limit":[37],"within":[38],"such":[39],"subspaces.":[41],"For":[42],"power":[43],"law":[44],"growing":[45],"Lanczos":[46,73],"coefficients":[47,74],"$b_n":[48],"\\sim":[49],"n^\u03b4$":[50],"we":[51,105],"find":[52],"super":[53],"ballistic":[54],"lightcones,":[55],"with":[56],"exponentially":[58],"spreading":[59],"lightcone":[60],"maximal":[62],"growth":[63],"$\u03b4=":[64],"1$.":[65],"Causality":[66],"chain":[70,121],"constrains":[71],"to":[75,110,118,132],"grow":[76],"at":[77],"most":[78],"linearly.":[79],"We":[80],"illustrate":[81],"validity":[83],"of":[84,113],"above":[86,108],"$SL(2,":[89],"R)$":[90],"and":[91,95,128],"Heisenberg":[92],"Weyl":[93],"algebras,":[94],"many":[98],"body":[99],"skew":[100],"field":[101],"Ising":[102],"model.":[103],"Moreover,":[104],"extend":[106],"bound":[109,126],"family":[112],"$Q$":[114],"complexities.":[115],"Lastly,":[116],"mapping":[117],"spin":[120],"gives":[122],"Lieb":[124],"Robinson":[125],"analogue":[127],"opens":[129],"standard":[133],"condensed":[134],"matter":[135],"methods.":[136]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-07T00:00:00"}