{"id":"https://openalex.org/W7167247644","doi":"https://doi.org/10.48550/arxiv.2607.02427","title":"Optimal stellar rank approximation of squeezed cat states with photon catalysis","display_name":"Optimal stellar rank approximation of squeezed cat states with photon catalysis","publication_year":2026,"publication_date":"2026-07-02","ids":{"openalex":"https://openalex.org/W7167247644","doi":"https://doi.org/10.48550/arxiv.2607.02427"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2607.02427","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.02427","pdf_url":"https://arxiv.org/pdf/2607.02427","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/2607.02427","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085761516","display_name":"Julian K. Nauth","orcid":"https://orcid.org/0000-0002-7071-3079","observed_orcids":["https://orcid.org/0000-0002-7071-3079"]},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nauth, Julian K.","raw_affiliation_strings":["Dahlem Center for Complex Quantum Systems , Freie Universit\u00e4t Berlin , 14195 Berlin , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dahlem Center for Complex Quantum Systems , Freie Universit\u00e4t Berlin , 14195 Berlin , Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084118050","display_name":"Nathan Walk","orcid":"https://orcid.org/0000-0003-1204-6009","observed_orcids":["https://orcid.org/0000-0003-1204-6009"]},"institutions":[{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Walk, Nathan","raw_affiliation_strings":["Dahlem Center for Complex Quantum Systems , Freie Universit\u00e4t Berlin , 14195 Berlin , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dahlem Center for Complex Quantum Systems , Freie Universit\u00e4t Berlin , 14195 Berlin , Germany","institution_ids":["https://openalex.org/I75951250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024241023","display_name":"A. Datta","orcid":"https://orcid.org/0009-0009-2708-8712","observed_orcids":["https://orcid.org/0009-0009-2708-8712"]},"institutions":[{"id":"https://openalex.org/I142637625","display_name":"Okinawa Institute of Science and Technology Graduate University","ror":"https://ror.org/02qg15b79","country_code":"JP","type":"education","lineage":["https://openalex.org/I142637625"]},{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE","JP"],"is_corresponding":false,"raw_author_name":"Datta, Ananga M.","raw_affiliation_strings":["Humboldt-Universit\u00e4t zu Berlin , Institut f\u00fcr Physik , Institut f\u00fcr Physik , Newtonstr. 15 , 12489 Berlin , Germany","Okinawa Institute of Science and Technology Graduate University , Onna-son , Okinawa 904-0495 , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Humboldt-Universit\u00e4t zu Berlin , Institut f\u00fcr Physik , Institut f\u00fcr Physik , Newtonstr. 15 , 12489 Berlin , Germany","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Okinawa Institute of Science and Technology Graduate University , Onna-son , Okinawa 904-0495 , Japan","institution_ids":["https://openalex.org/I142637625"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044190697","display_name":"Kurt Busch","orcid":"https://orcid.org/0000-0003-0076-8522","observed_orcids":["https://orcid.org/0000-0003-0076-8522"]},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]},{"id":"https://openalex.org/I4210135798","display_name":"Max-Born-Institute for Nonlinear Optics and Short Pulse Spectroscopy","ror":"https://ror.org/03jbf6q27","country_code":"DE","type":"facility","lineage":["https://openalex.org/I315704651","https://openalex.org/I4210135798"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Busch, Kurt","raw_affiliation_strings":["Humboldt-Universit\u00e4t zu Berlin , Institut f\u00fcr Physik , Institut f\u00fcr Physik , Newtonstr. 15 , 12489 Berlin , Germany","Max-Born-Institut , Max-Born-Str. 2A , 12489 Berlin , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Humboldt-Universit\u00e4t zu Berlin , Institut f\u00fcr Physik , Institut f\u00fcr Physik , Newtonstr. 15 , 12489 Berlin , Germany","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Max-Born-Institut , Max-Born-Str. 2A , 12489 Berlin , Germany","institution_ids":["https://openalex.org/I4210135798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5140273381","display_name":"Jens Eisert","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I2800795503","display_name":"Helmholtz-Zentrum Berlin f\u00fcr Materialien und Energie","ror":"https://ror.org/02aj13c28","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2800795503"]},{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Eisert, Jens","raw_affiliation_strings":["Dahlem Center for Complex Quantum Systems , Freie Universit\u00e4t Berlin , 14195 Berlin , Germany","Helmholtz-Zentrum Berlin f\u00fcr Materialien und Energie , 14109 Berlin , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dahlem Center for Complex Quantum Systems , Freie Universit\u00e4t Berlin , 14195 Berlin , Germany","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Helmholtz-Zentrum Berlin f\u00fcr Materialien und Energie , 14109 Berlin , Germany","institution_ids":["https://openalex.org/I2800795503"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035889766","display_name":"Oliver J. Benson","orcid":"https://orcid.org/0000-0003-4841-1231","observed_orcids":["https://orcid.org/0000-0003-4841-1231"]},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Benson, Oliver","raw_affiliation_strings":["Humboldt-Universit\u00e4t zu Berlin , Institut f\u00fcr Physik , Institut f\u00fcr Physik , Newtonstr. 15 , 12489 Berlin , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Humboldt-Universit\u00e4t zu Berlin , Institut f\u00fcr Physik , Institut f\u00fcr Physik , Newtonstr. 15 , 12489 Berlin , Germany","institution_ids":["https://openalex.org/I39343248"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027690753","display_name":"Roger Alfredo K\u00f6gler","orcid":"https://orcid.org/0000-0002-6409-761X","observed_orcids":["https://orcid.org/0000-0002-6409-761X"]},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"K\u00f6gler, Roger A.","raw_affiliation_strings":["Humboldt-Universit\u00e4t zu Berlin , Institut f\u00fcr Physik , Institut f\u00fcr Physik , Newtonstr. 15 , 12489 Berlin , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Humboldt-Universit\u00e4t zu Berlin , Institut f\u00fcr Physik , Institut f\u00fcr Physik , Newtonstr. 15 , 12489 Berlin , Germany","institution_ids":["https://openalex.org/I39343248"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":3,"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":0.9502000212669373,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9502000212669373,"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":0.037300001829862595,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.004900000058114529,"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/non-gaussian-quantum-states","display_name":"non-Gaussian quantum states","score":0.8069999814033508},{"id":"https://openalex.org/keywords/fock-states","display_name":"Fock states","score":0.7919999957084656},{"id":"https://openalex.org/keywords/bosonic-quantum-error-correction","display_name":"bosonic quantum error correction","score":0.7710000276565552},{"id":"https://openalex.org/keywords/gaussian-boson-sampling","display_name":"Gaussian boson sampling","score":0.890999972820282},{"id":"https://openalex.org/keywords/hilbert-space-truncation","display_name":"Hilbert space truncation","score":0.8930000066757202},{"id":"https://openalex.org/keywords/optical-loss","display_name":"optical loss","score":0.656000018119812},{"id":"https://openalex.org/keywords/photonic-quantum-computing","display_name":"photonic quantum computing","score":0.6240000128746033}],"concepts":[{"id":"https://openalex.org/C114852677","wikidata":"https://www.wikidata.org/wiki/Q899044","display_name":"Fock space","level":2,"score":0.8259999752044678},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.527999997138977},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5217000246047974},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5157999992370605},{"id":"https://openalex.org/C159317903","wikidata":"https://www.wikidata.org/wiki/Q3198","display_name":"Photon","level":2,"score":0.5149000287055969},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.5029000043869019},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.4659999907016754},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43130001425743103},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.41019999980926514},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.40880000591278076},{"id":"https://openalex.org/C152026323","wikidata":"https://www.wikidata.org/wiki/Q1032070","display_name":"Coherent states","level":3,"score":0.40310001373291016},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.39089998602867126},{"id":"https://openalex.org/C12891224","wikidata":"https://www.wikidata.org/wiki/Q678317","display_name":"Fock state","level":3,"score":0.3783000111579895},{"id":"https://openalex.org/C68717125","wikidata":"https://www.wikidata.org/wiki/Q735602","display_name":"Quantum optics","level":2,"score":0.3776000142097473},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.3716000020503998},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3582000136375427},{"id":"https://openalex.org/C194269254","wikidata":"https://www.wikidata.org/wiki/Q661063","display_name":"Squeezed coherent state","level":4,"score":0.35740000009536743},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.34940001368522644},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.3375000059604645},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.3294999897480011},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.322299987077713},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32030001282691956},{"id":"https://openalex.org/C79118098","wikidata":"https://www.wikidata.org/wiki/Q43101","display_name":"Boson","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2964000105857849},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2906000018119812},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.2831999957561493},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.28200000524520874},{"id":"https://openalex.org/C20788544","wikidata":"https://www.wikidata.org/wiki/Q467054","display_name":"Photonics","level":2,"score":0.2818000018596649},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.2734000086784363},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26820001006126404},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.26409998536109924},{"id":"https://openalex.org/C203103908","wikidata":"https://www.wikidata.org/wiki/Q3689728","display_name":"Spontaneous parametric down-conversion","level":4,"score":0.25519999861717224},{"id":"https://openalex.org/C190463098","wikidata":"https://www.wikidata.org/wiki/Q2081419","display_name":"Quantum technology","level":4,"score":0.2531000077724457}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2607.02427","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.02427","pdf_url":"https://arxiv.org/pdf/2607.02427","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.2607.02427","doi":"https://doi.org/10.48550/arxiv.2607.02427","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2607.02427","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:2607.02427","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2607.02427","pdf_url":"https://arxiv.org/pdf/2607.02427","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/G5640042675","display_name":null,"funder_award_id":"K266/2019","funder_id":"https://openalex.org/F4320334763","funder_display_name":"Leibniz-Gemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320334763","display_name":"Leibniz-Gemeinschaft","ror":"https://ror.org/01n6r0e97"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7167247644.pdf","grobid_xml":"https://content.openalex.org/works/W7167247644.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W4416617038","https://openalex.org/W7164428954"],"related_works":["https://openalex.org/W2991525509","https://openalex.org/W4405634594","https://openalex.org/W4283776411","https://openalex.org/W4382322416","https://openalex.org/W2920206125","https://openalex.org/W2807127754","https://openalex.org/W7152712759","https://openalex.org/W7215103775","https://openalex.org/W4392099231","https://openalex.org/W2912816963"],"abstract_inverted_index":{"Non-Gaussian":[0],"quantum":[1,10,15,196],"states":[2,54,57,82,104,145,228],"and":[3,13,55,83,85,101,170,221,243],"operations":[4],"constitute":[5],"essential":[6],"resources":[7,79,189],"for":[8,58,195,201,252],"achieving":[9],"computational":[11],"advantage":[12],"enabling":[14],"error":[16,197],"correction":[17],"in":[18,24,138,165,217,245],"bosonic":[19],"platforms.":[20],"However,":[21],"their":[22],"generation":[23,60,185],"optical":[25,209],"settings":[26],"remains":[27],"a":[28,91,212],"challenging":[29],"experimental":[30,202],"task,":[31],"often":[32],"relying":[33],"on":[34],"probabilistic":[35],"heralded":[36],"protocols.":[37],"Here,":[38],"we":[39,122,153,204],"present":[40],"an":[41],"in-depth":[42],"analysis":[43],"of":[44,47,61,77,94,142,157,167,176,186,225],"the":[45,59,68,74,86,95,98,102,106,114,126,143,155,174,184,218,223,226,235],"suitability":[46],"photon":[48,158,246],"catalysis":[49,127,159,247],"between":[50,97,237],"low":[51],"number":[52],"Fock":[53,178,192,219],"squeezed":[56,62,191],"coherent":[63],"state":[64,171,179],"superpositions.":[65],"We":[66,134,181],"employ":[67],"stellar":[69],"rank":[70],"formalism":[71],"to":[72,105],"characterize":[73],"non-Gaussian":[75,116,188,238],"complexity":[76],"input":[78,117],"(including":[80],"both":[81],"measurements)":[84],"generated":[87,227],"states.":[88],"This":[89],"enables":[90],"systematic":[92],"comparison":[93],"fidelity":[96,108],"catalyzed":[99],"output":[100],"target":[103,144],"maximum":[107],"achievable":[109,241],"by":[110],"any":[111],"protocol":[112],"with":[113,149],"same":[115],"resources.":[118,151],"In":[119],"this":[120],"sense,":[121],"identify":[123,135],"instances":[124],"where":[125],"protocols":[128,164],"considered":[129],"here":[130],"are":[131],"provably":[132],"optimal.":[133],"parameter":[136],"regimes":[137],"which":[139],"high-fidelity":[140],"approximations":[141],"can":[146],"be":[147],"achieved":[148],"minimal":[150],"Furthermore,":[152],"benchmark":[154],"performance":[156],"against":[160],"Gaussian":[161],"boson":[162],"sampling-inspired":[163],"terms":[166],"success":[168],"probability":[169],"quality,":[172],"highlighting":[173],"advantages":[175],"deterministic":[177],"sources.":[180],"also":[182],"investigate":[183],"related":[187],"including":[190],"states,":[193],"relevant":[194],"correction.":[198],"To":[199],"account":[200],"imperfections,":[203],"model":[205],"losses":[206,244],"across":[207],"all":[208],"modes":[210],"using":[211],"Hilbert":[213],"space":[214],"truncation":[215],"approach":[216],"basis":[220],"analyze":[222],"robustness":[224],"under":[229],"realistic":[230],"conditions.":[231],"Our":[232],"results":[233],"quantify":[234],"trade-offs":[236],"resource":[239],"complexity,":[240],"fidelity,":[242],"protocols,":[248],"providing":[249],"practical":[250],"guidelines":[251],"near-term":[253],"photonic":[254],"implementations.":[255]},"counts_by_year":[{"year":2026,"cited_by_count":3}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-07-04T00:00:00"}