{"id":"https://openalex.org/W7164365992","doi":"https://doi.org/10.48550/arxiv.2606.11580","title":"Superspace Concentration and Adversarial Robustness in Quantum Algorithms","display_name":"Superspace Concentration and Adversarial Robustness in Quantum Algorithms","publication_year":2026,"publication_date":"2026-06-10","ids":{"openalex":"https://openalex.org/W7164365992","doi":"https://doi.org/10.48550/arxiv.2606.11580"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.11580","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.11580","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":"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"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.11580","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045799556","display_name":"Eric Yocam","orcid":"https://orcid.org/0000-0001-8176-3867"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yocam, Eric","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138404975","display_name":"Christian Yocam","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yocam, Christian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138447337","display_name":"Varghese Vaidyan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vaidyan, Varghese","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138467823","display_name":"Yong Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Yong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106063609","display_name":"Mahesh Kalappattil","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Kalappattil, Mahesh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5113140973","display_name":"Anthony Rizi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rizi, Anthony","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.5060999989509583,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.5060999989509583,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.28850001096725464,"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":0.09040000289678574,"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/robustness","display_name":"Robustness (evolution)","score":0.5565999746322632},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4805000126361847},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4788999855518341},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.39239999651908875},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3797000050544739},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.361299991607666},{"id":"https://openalex.org/keywords/superspace","display_name":"Superspace","score":0.33320000767707825},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.314300000667572}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5957000255584717},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5565999746322632},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4805000126361847},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4788999855518341},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47200000286102295},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.39239999651908875},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3797000050544739},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.361299991607666},{"id":"https://openalex.org/C119374780","wikidata":"https://www.wikidata.org/wiki/Q6501705","display_name":"Superspace","level":3,"score":0.33320000767707825},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.314300000667572},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.30880001187324524},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.3041999936103821},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.303600013256073},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.27639999985694885},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.26460000872612},{"id":"https://openalex.org/C38976095","wikidata":"https://www.wikidata.org/wiki/Q752641","display_name":"Asymmetry","level":2,"score":0.26409998536109924},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2639999985694885},{"id":"https://openalex.org/C122527463","wikidata":"https://www.wikidata.org/wiki/Q578430","display_name":"Quantum decoherence","level":3,"score":0.2628999948501587},{"id":"https://openalex.org/C97256817","wikidata":"https://www.wikidata.org/wiki/Q1462316","display_name":"Spurious relationship","level":2,"score":0.26159998774528503},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.2558000087738037},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25540000200271606}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.11580","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.11580","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.11580","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.11580","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":"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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,47,131],"study":[1],"superspace":[2,23,76,177],"concentration":[3,163,178],"as":[4],"a":[5,31,39,49,189,210],"quantum":[6,32,100],"resource,":[7],"formalized":[8],"through":[9,60],"the":[10,17,21,28,135,139,183,199,204],"focus":[11,115,136,160,205],"measure":[12,55,137,141],"F(\\r{ho})":[13],"=":[14,123,127,186],"\u03bb_max(\\r{ho}_super)":[15],"-":[16,25],"largest":[18],"eigenvalue":[19],"of":[20,30,42,192,203],"reduced":[22],"state":[24],"which":[26],"quantifies":[27],"capacity":[29,206],"system":[33,97],"to":[34,69],"concentrate":[35],"informational":[36],"weight":[37],"into":[38],"preferred":[40],"subspace":[41],"an":[43],"extended":[44],"degree-of-freedom":[45],"space.":[46],"develop":[48],"complete":[50],"resource-theoretic":[51,190],"framework":[52],"around":[53],"this":[54],"and":[56,138,149,156,164,176,218],"validate":[57],"its":[58],"properties":[59],"GPU-accelerated":[61],"numerical":[62,201],"simulation.":[63],"Analytic":[64],"decoherence":[65],"predictions":[66],"are":[67,142],"confirmed":[68,214],"machine":[70],"precision":[71],"(1.11":[72],"x":[73],"10^{-16})":[74],"for":[75,129,215],"dimensions":[77],"dS":[78],"in":[79],"{2,4,8,16,32}.":[80],"Focus":[81],"monotonicity":[82],"holds":[83],"across":[84,95],"10,000":[85],"random":[86],"states":[87,101],"with":[88,106,114],"zero":[89,148],"violations":[90],"under":[91,154],"four":[92],"focus-non-generating":[93],"channels":[94],"six":[96],"configurations.":[98],"Focused":[99],"resist":[102],"coherent":[103,155],"unitary":[104],"attacks":[105,158],"significantly":[107],"greater":[108],"resilience":[109],"than":[110],"standard":[111],"fidelity":[112],"predicts,":[113],"remaining":[116],"above":[117],"0.9":[118],"at":[119],"attack":[120],"strength":[121],"\u03b5":[122,126,168],"0.302":[124],"versus":[125],"0.174":[128],"fidelity.":[130],"further":[132],"demonstrate":[133],"that":[134],"U(dS)-asymmetry":[140],"operationally":[143],"distinct:":[144],"asymmetry":[145],"remains":[146,165],"near":[147],"provides":[150],"no":[151],"robustness":[152],"signal":[153],"targeted":[157],"while":[159],"tracks":[161],"spectral":[162],"robust":[166],"until":[167],">":[169],"0.3.":[170],"The":[171],"connection":[172],"between":[173],"Grover's":[174],"algorithm":[175],"is":[179],"made":[180],"explicit":[181],"via":[182],"identity":[184],"F(|\u03c8_k><\u03c8_k|)":[185],"P(marked),":[187],"providing":[188],"interpretation":[191],"oracle":[193],"query":[194],"complexity.":[195],"Finally,":[196],"we":[197],"provide":[198],"first":[200],"characterization":[202],"gap":[207],"\u0394F,":[208],"identifying":[209],"log_2(dS)":[211],"scaling":[212],"law":[213],"both":[216],"product":[217],"correlated":[219],"noise":[220],"channels.":[221]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-06-12T00:00:00"}