{"id":"https://openalex.org/W4400493434","doi":"https://doi.org/10.22331/q-2024-07-10-1404","title":"Quantum-embeddable stochastic matrices","display_name":"Quantum-embeddable stochastic matrices","publication_year":2024,"publication_date":"2024-07-10","ids":{"openalex":"https://openalex.org/W4400493434","doi":"https://doi.org/10.22331/q-2024-07-10-1404"},"language":"en","primary_location":{"id":"doi:10.22331/q-2024-07-10-1404","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-07-10-1404","pdf_url":"https://quantum-journal.org/papers/q-2024-07-10-1404/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2024-07-10-1404/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036495366","display_name":"Fereshte Shahbeigi","orcid":"https://orcid.org/0000-0001-9991-6112"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Fereshte Shahbeigi","raw_affiliation_strings":["Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, 30-348 Krakow, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, 30-348 Krakow, Poland","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079839412","display_name":"Christopher T. Chubb","orcid":"https://orcid.org/0000-0002-2668-1567"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Christopher T. Chubb","raw_affiliation_strings":["Institute for Theoretical Physics, ETH Z\u00fcrich, 8093 Z\u00fcrich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Institute for Theoretical Physics, ETH Z\u00fcrich, 8093 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040679414","display_name":"Ryszard Kukulski","orcid":"https://orcid.org/0000-0002-9171-1734"},"institutions":[{"id":"https://openalex.org/I4210122744","display_name":"Institute of Theoretical and Applied Informatics","ror":"https://ror.org/037p52j25","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210122744","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]},{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Ryszard Kukulski","raw_affiliation_strings":["Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, 30-348 Krakow, Poland","Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Ba\u0142tycka 5, 44-100 Gliwice, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, 30-348 Krakow, Poland","institution_ids":["https://openalex.org/I126596746"]},{"raw_affiliation_string":"Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Ba\u0142tycka 5, 44-100 Gliwice, Poland","institution_ids":["https://openalex.org/I4210122744","https://openalex.org/I99542240"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034714433","display_name":"\u0141ukasz Pawela","orcid":"https://orcid.org/0000-0002-0476-7132"},"institutions":[{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"funder","lineage":["https://openalex.org/I99542240"]},{"id":"https://openalex.org/I4210122744","display_name":"Institute of Theoretical and Applied Informatics","ror":"https://ror.org/037p52j25","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210122744","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"\u0141ukasz Pawela","raw_affiliation_strings":["Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Ba\u0142tycka 5, 44-100 Gliwice, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Ba\u0142tycka 5, 44-100 Gliwice, Poland","institution_ids":["https://openalex.org/I4210122744","https://openalex.org/I99542240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004335118","display_name":"Kamil Korzekwa","orcid":"https://orcid.org/0000-0002-0683-5469"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Kamil Korzekwa","raw_affiliation_strings":["Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, 30-348 Krakow, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, 30-348 Krakow, Poland","institution_ids":["https://openalex.org/I126596746"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5036495366"],"corresponding_institution_ids":["https://openalex.org/I126596746"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":1.6879,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.86281257,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"1404","last_page":"1404"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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":0.9983999729156494,"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/quantum","display_name":"Quantum","score":0.5456619262695312},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.47677046060562134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4568910598754883},{"id":"https://openalex.org/keywords/stochastic-matrix","display_name":"Stochastic matrix","score":0.4387027621269226},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.41950976848602295},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4156653583049774},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4154001474380493},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4091876149177551},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.38262003660202026},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.3510444462299347},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2097386121749878},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19285964965820312},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1393502652645111}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5456619262695312},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.47677046060562134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4568910598754883},{"id":"https://openalex.org/C49555168","wikidata":"https://www.wikidata.org/wiki/Q176583","display_name":"Stochastic matrix","level":3,"score":0.4387027621269226},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.41950976848602295},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4156653583049774},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4154001474380493},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4091876149177551},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38262003660202026},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.3510444462299347},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2097386121749878},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19285964965820312},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1393502652645111}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.22331/q-2024-07-10-1404","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-07-10-1404","pdf_url":"https://quantum-journal.org/papers/q-2024-07-10-1404/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:www.research-collection.ethz.ch:20.500.11850/684040","is_oa":true,"landing_page_url":"https://www.research-collection.ethz.ch/bitstream/20.500.11850/684040/2/q-2024-07-10-1404.pdf","pdf_url":"http://hdl.handle.net/20.500.11850/684040","source":{"id":"https://openalex.org/S4306402302","display_name":"Repository for Publications and Research Data (ETH Zurich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I35440088","host_organization_name":"ETH Zurich","host_organization_lineage":["https://openalex.org/I35440088"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, 8","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:ruj.uj.edu.pl:item/570644","is_oa":true,"landing_page_url":"https://ruj.uj.edu.pl/handle/item/570644","pdf_url":null,"source":{"id":"https://openalex.org/S4306401249","display_name":"Jagiellonian University Repository (Jagiellonian University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126596746","host_organization_name":"Jagiellonian University","host_organization_lineage":["https://openalex.org/I126596746"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:ea8bad7090f947f79f0f0ef6cb4dca88","is_oa":true,"landing_page_url":"https://doaj.org/article/ea8bad7090f947f79f0f0ef6cb4dca88","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 8, p 1404 (2024)","raw_type":"article"},{"id":"doi:10.3929/ethz-b-000684040","is_oa":true,"landing_page_url":"https://doi.org/10.3929/ethz-b-000684040","pdf_url":null,"source":{"id":"https://openalex.org/S7407051236","display_name":"ETH Z\u00fcrich Research Collection","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.22331/q-2024-07-10-1404","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-07-10-1404","pdf_url":"https://quantum-journal.org/papers/q-2024-07-10-1404/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1652710701","display_name":null,"funder_award_id":"CRSII5_","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G1807838716","display_name":null,"funder_award_id":"QuantERA","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2371842977","display_name":null,"funder_award_id":"CRSII5-186364","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G2525484684","display_name":null,"funder_award_id":"Sinergia","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G2539852643","display_name":null,"funder_award_id":"04.04.00-00-17C1/18-00","funder_id":"https://openalex.org/F4320321042","funder_display_name":"Fundacja na rzecz Nauki Polskiej"},{"id":"https://openalex.org/G2824951903","display_name":null,"funder_award_id":"SwissMAP","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G2981532891","display_name":null,"funder_award_id":"OIR.04.04.00-00-17C1/18-00","funder_id":"https://openalex.org/F4320321042","funder_display_name":"Fundacja na rzecz Nauki Polskiej"},{"id":"https://openalex.org/G3514550006","display_name":null,"funder_award_id":"Centre","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4397348291","display_name":null,"funder_award_id":"CRSII5_186364","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4956428346","display_name":null,"funder_award_id":"Horizon 2020 research and innovatio","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5586414656","display_name":"Bering Sea Benthic Amphipod Community:  Stability/Instability Relative to Changing Oceanographic Conditions and Increased Gray Whale Predation","funder_award_id":"0101773","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G575169067","display_name":null,"funder_award_id":"101017733","funder_id":"https://openalex.org/F4320330828","funder_display_name":"QuantERA"},{"id":"https://openalex.org/G5917528678","display_name":null,"funder_award_id":"101017733","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5921281487","display_name":null,"funder_award_id":"number","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6389141941","display_name":null,"funder_award_id":"10101773","funder_id":"https://openalex.org/F4320330828","funder_display_name":"QuantERA"},{"id":"https://openalex.org/G6693446976","display_name":null,"funder_award_id":"186364","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G7051150526","display_name":null,"funder_award_id":"101017733","funder_id":"https://openalex.org/F4320322650","funder_display_name":"Narodowym Centrum Nauki"},{"id":"https://openalex.org/G7318129340","display_name":null,"funder_award_id":"POIR.04.04.00-00-17C1/18-00","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7830791575","display_name":null,"funder_award_id":"17C1/18-00","funder_id":"https://openalex.org/F4320321042","funder_display_name":"Fundacja na rzecz Nauki Polskiej"},{"id":"https://openalex.org/G8051717526","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8549183220","display_name":null,"funder_award_id":"17733","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8737592442","display_name":null,"funder_award_id":"POIR.04.04.00-00-17C1/18-00","funder_id":"https://openalex.org/F4320321042","funder_display_name":"Fundacja na rzecz Nauki Polskiej"},{"id":"https://openalex.org/G885599476","display_name":null,"funder_award_id":"2021/03/Y/ST2/00193","funder_id":"https://openalex.org/F4320330828","funder_display_name":"QuantERA"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320317844","display_name":"National Centres of Competence in Research SwissMAP","ror":null},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320321042","display_name":"Fundacja na rzecz Nauki Polskiej","ror":"https://ror.org/048zd9m77"},{"id":"https://openalex.org/F4320322650","display_name":"Narodowym Centrum Nauki","ror":"https://ror.org/03ha2q922"},{"id":"https://openalex.org/F4320330828","display_name":"QuantERA","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400493434.pdf"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1582766254","https://openalex.org/W1866520820","https://openalex.org/W1973943738","https://openalex.org/W1975073183","https://openalex.org/W1979425420","https://openalex.org/W1988512425","https://openalex.org/W1990615652","https://openalex.org/W1999628341","https://openalex.org/W2012141099","https://openalex.org/W2015683881","https://openalex.org/W2032839191","https://openalex.org/W2052344514","https://openalex.org/W2087158926","https://openalex.org/W2151965566","https://openalex.org/W2154942407","https://openalex.org/W2167346196","https://openalex.org/W2752706476","https://openalex.org/W2904158826","https://openalex.org/W2906917024","https://openalex.org/W2940136542","https://openalex.org/W3021622235","https://openalex.org/W3100858587","https://openalex.org/W3105208457","https://openalex.org/W3105234719"],"related_works":["https://openalex.org/W2734729804","https://openalex.org/W2015136492","https://openalex.org/W1968612088","https://openalex.org/W2186430569","https://openalex.org/W2364963676","https://openalex.org/W3041997070","https://openalex.org/W2735388074","https://openalex.org/W4388292488","https://openalex.org/W2351194865","https://openalex.org/W2379651310"],"abstract_inverted_index":{"The":[0],"classical":[1,154],"embeddability":[2],"problem":[3],"asks":[4],"whether":[5],"a":[6,16,43,52,112,117,141],"given":[7,53,168],"stochastic":[8,66,92,105,164],"matrix":[9],"<mml:math":[10,17,54],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>T</mml:mi></mml:math>,":[11],"describing":[12],"transition":[13,121],"probabilities":[14],"of":[15,35,39,42,64,91,104,120,145],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>d</mml:mi></mml:math>-level":[18],"system,":[19],"can":[20,123],"arise":[21,69],"from":[22,70],"the":[23,32,40,62,130],"underlying":[24],"homogeneous":[25],"continuous-time":[26,72],"Markov":[27],"process.":[28],"Here,":[29],"we":[30,58,78,114,138,160],"investigate":[31],"quantum":[33,45,73,156],"version":[34],"this":[36,76],"problem,":[37],"asking":[38],"existence":[41],"Markovian":[44],"channel":[46],"generating":[47],"state":[48],"transitions":[49],"described":[50],"by":[51,126,152,170],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>T</mml:mi></mml:math>.":[55],"More":[56],"precisely,":[57],"aim":[59],"at":[60],"characterising":[61],"set":[63,119,144],"quantum-embeddable":[65,96],"matrices":[67,93,106,122,165],"that":[68,86,94,107,116,148,174],"memoryless":[71,127,157],"evolution.":[74],"To":[75],"end,":[77],"derive":[79],"both":[80],"upper":[81],"and":[82,172],"lower":[83],"bounds":[84],"on":[85],"set,":[87],"providing":[88],"new":[89],"families":[90,103],"are":[95,108,175],"but":[97,137],"not":[98,109],"classically-embeddable,":[99],"as":[100,102],"well":[101],"quantum-embeddable.":[110,176],"As":[111],"result,":[113],"demonstrate":[115],"larger":[118],"be":[124,135,150],"explained":[125,151],"models":[128],"if":[129],"dynamics":[131],"is":[132],"allowed":[133],"to":[134],"quantum,":[136],"also":[139],"identify":[140],"non-zero":[142],"measure":[143],"random":[146],"processes":[147],"cannot":[149],"either":[153],"or":[155],"dynamics.":[158],"Finally,":[159],"fully":[161],"characterise":[162],"extreme":[163],"(with":[166],"entries":[167],"only":[169],"zeros":[171],"ones)":[173]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-04-15T08:11:43.952461","created_date":"2025-10-10T00:00:00"}
