{"id":"https://openalex.org/W4376983013","doi":"https://doi.org/10.22331/q-2023-05-15-1007","title":"Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories","display_name":"Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories","publication_year":2023,"publication_date":"2023-05-15","ids":{"openalex":"https://openalex.org/W4376983013","doi":"https://doi.org/10.22331/q-2023-05-15-1007"},"language":"en","primary_location":{"id":"doi:10.22331/q-2023-05-15-1007","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-05-15-1007","pdf_url":"https://quantum-journal.org/papers/q-2023-05-15-1007/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","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2023-05-15-1007/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045881341","display_name":"Alireza Tavanfar","orcid":"https://orcid.org/0000-0002-9447-5095"},"institutions":[{"id":"https://openalex.org/I113358080","display_name":"Champalimaud Foundation","ror":"https://ror.org/03g001n57","country_code":"PT","type":"facility","lineage":["https://openalex.org/I113358080"]},{"id":"https://openalex.org/I181233156","display_name":"University of Oregon","ror":"https://ror.org/0293rh119","country_code":"US","type":"education","lineage":["https://openalex.org/I181233156"]}],"countries":["PT","US"],"is_corresponding":true,"raw_author_name":"Alireza Tavanfar","raw_affiliation_strings":["Champalimaud Research, Champalimaud Center for the Unknown, 1400-038 Lisboa, Portugal","Institute of Neuroscience, University of Oregon, Eugene, OR 97403, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Champalimaud Research, Champalimaud Center for the Unknown, 1400-038 Lisboa, Portugal","institution_ids":["https://openalex.org/I113358080"]},{"raw_affiliation_string":"Institute of Neuroscience, University of Oregon, Eugene, OR 97403, USA","institution_ids":["https://openalex.org/I181233156"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043142534","display_name":"A. Parvizi","orcid":"https://orcid.org/0000-0002-2581-767X"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]},{"id":"https://openalex.org/I4210146419","display_name":"Institute for Research in Fundamental Sciences","ror":"https://ror.org/04xreqs31","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210146419"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Aliasghar Parvizi","raw_affiliation_strings":["Department of Physics, University of Tehran, 14395-547, Tehran, Iran","School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531 Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Tehran, 14395-547, Tehran, Iran","institution_ids":["https://openalex.org/I23946033"]},{"raw_affiliation_string":"School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531 Tehran, Iran","institution_ids":["https://openalex.org/I4210146419"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042465927","display_name":"Marco Pezzutto","orcid":"https://orcid.org/0000-0003-1850-340X"},"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"]}],"countries":["LU"],"is_corresponding":false,"raw_author_name":"Marco Pezzutto","raw_affiliation_strings":["Complex Systems and Statistical Mechanics, Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Complex Systems and Statistical Mechanics, Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045881341"],"corresponding_institution_ids":["https://openalex.org/I113358080","https://openalex.org/I181233156"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":0.497,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69726385,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"7","issue":null,"first_page":"1007","last_page":"1007"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9984999895095825,"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":0.9984999895095825,"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":0.9973999857902527,"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":0.9966999888420105,"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/unitary-state","display_name":"Unitary state","score":0.5789708495140076},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5329735279083252},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5316992998123169},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.4882845878601074},{"id":"https://openalex.org/keywords/quantum-system","display_name":"Quantum system","score":0.47839272022247314},{"id":"https://openalex.org/keywords/von-neumann-architecture","display_name":"Von Neumann architecture","score":0.4550330638885498},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.43637457489967346},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3590254485607147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35249319672584534},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2840922176837921},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23632928729057312}],"concepts":[{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5789708495140076},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5329735279083252},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5316992998123169},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.4882845878601074},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.47839272022247314},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.4550330638885498},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.43637457489967346},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3590254485607147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35249319672584534},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2840922176837921},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23632928729057312},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2023-05-15-1007","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-05-15-1007","pdf_url":"https://quantum-journal.org/papers/q-2023-05-15-1007/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:doaj.org/article:553ad68d27fa4a0dba454c244d31d413","is_oa":true,"landing_page_url":"https://doaj.org/article/553ad68d27fa4a0dba454c244d31d413","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 7, p 1007 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2023-05-15-1007","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-05-15-1007","pdf_url":"https://quantum-journal.org/papers/q-2023-05-15-1007/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/G5454278309","display_name":null,"funder_award_id":"/2017","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320328273","display_name":"Funda\u00e7\u00e3o Champalimaud","ror":"https://ror.org/03g001n57"},{"id":"https://openalex.org/F4320328988","display_name":"Instituto de Telecomunica\u00e7\u00f5es","ror":"https://ror.org/02ht4fk33"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4376983013.pdf"},"referenced_works_count":201,"referenced_works":["https://openalex.org/W14334640","https://openalex.org/W577049880","https://openalex.org/W590413840","https://openalex.org/W792163153","https://openalex.org/W794319421","https://openalex.org/W1490935643","https://openalex.org/W1495677311","https://openalex.org/W1533419871","https://openalex.org/W1562371473","https://openalex.org/W1575167215","https://openalex.org/W1577842934","https://openalex.org/W1578322733","https://openalex.org/W1596792582","https://openalex.org/W1637394421","https://openalex.org/W1655666417","https://openalex.org/W1706310151","https://openalex.org/W1768735797","https://openalex.org/W1806543486","https://openalex.org/W1966938556","https://openalex.org/W1968661061","https://openalex.org/W1968719750","https://openalex.org/W1969900904","https://openalex.org/W1970323441","https://openalex.org/W1970647066","https://openalex.org/W1971567680","https://openalex.org/W1974477498","https://openalex.org/W1975677983","https://openalex.org/W1977153046","https://openalex.org/W1982874713","https://openalex.org/W1983785874","https://openalex.org/W1984973950","https://openalex.org/W1990514347","https://openalex.org/W1992291356","https://openalex.org/W1998990418","https://openalex.org/W2003332567","https://openalex.org/W2004069013","https://openalex.org/W2004383075","https://openalex.org/W2008925509","https://openalex.org/W2010180993","https://openalex.org/W2011184092","https://openalex.org/W2015263507","https://openalex.org/W2015486074","https://openalex.org/W2015683881","https://openalex.org/W2025744050","https://openalex.org/W2025897717","https://openalex.org/W2031255223","https://openalex.org/W2032839191","https://openalex.org/W2039812360","https://openalex.org/W2041585566","https://openalex.org/W2048028134","https://openalex.org/W2060581029","https://openalex.org/W2061422883","https://openalex.org/W2062965047","https://openalex.org/W2064870141","https://openalex.org/W2066193379","https://openalex.org/W2069043908","https://openalex.org/W2079905842","https://openalex.org/W2082688097","https://openalex.org/W2083319237","https://openalex.org/W2083572972","https://openalex.org/W2085142809","https://openalex.org/W2086639388","https://openalex.org/W2087654101","https://openalex.org/W2088291539","https://openalex.org/W2089116445","https://openalex.org/W2090471280","https://openalex.org/W2091495813","https://openalex.org/W2092632480","https://openalex.org/W2095590093","https://openalex.org/W2100271681","https://openalex.org/W2104454795","https://openalex.org/W2105858846","https://openalex.org/W2117709364","https://openalex.org/W2117941808","https://openalex.org/W2160270275","https://openalex.org/W2161292502","https://openalex.org/W2181284682","https://openalex.org/W2204314487","https://openalex.org/W2218743057","https://openalex.org/W2234450295","https://openalex.org/W2268223243","https://openalex.org/W2270905944","https://openalex.org/W2271262700","https://openalex.org/W2275170799","https://openalex.org/W2297008459","https://openalex.org/W2314520473","https://openalex.org/W2325880439","https://openalex.org/W2342077314","https://openalex.org/W2485771012","https://openalex.org/W2490059420","https://openalex.org/W2559394418","https://openalex.org/W2560445180","https://openalex.org/W2578721794","https://openalex.org/W2579831898","https://openalex.org/W2580838454","https://openalex.org/W2601140348","https://openalex.org/W2606160235","https://openalex.org/W2615139385","https://openalex.org/W2725214497","https://openalex.org/W2736592352","https://openalex.org/W2762204861","https://openalex.org/W2776145215","https://openalex.org/W2781250181","https://openalex.org/W2784881413","https://openalex.org/W2786167326","https://openalex.org/W2786366947","https://openalex.org/W2787752732","https://openalex.org/W2789330203","https://openalex.org/W2792315573","https://openalex.org/W2794831703","https://openalex.org/W2795156944","https://openalex.org/W2804229586","https://openalex.org/W2811443164","https://openalex.org/W2888361055","https://openalex.org/W2890918869","https://openalex.org/W2891110007","https://openalex.org/W2895816151","https://openalex.org/W2896171738","https://openalex.org/W2896712926","https://openalex.org/W2900154994","https://openalex.org/W2904402626","https://openalex.org/W2913457344","https://openalex.org/W2923537029","https://openalex.org/W2948905619","https://openalex.org/W2949969968","https://openalex.org/W2951205096","https://openalex.org/W2953356050","https://openalex.org/W2960649451","https://openalex.org/W2962415484","https://openalex.org/W2963469582","https://openalex.org/W2964020693","https://openalex.org/W2966187223","https://openalex.org/W2974236237","https://openalex.org/W2976350580","https://openalex.org/W2977321575","https://openalex.org/W2988129963","https://openalex.org/W2996472800","https://openalex.org/W2997300015","https://openalex.org/W2999912861","https://openalex.org/W3022083602","https://openalex.org/W3022578515","https://openalex.org/W3022610800","https://openalex.org/W3032264400","https://openalex.org/W3034772724","https://openalex.org/W3037510883","https://openalex.org/W3038509593","https://openalex.org/W3047152076","https://openalex.org/W3047517563","https://openalex.org/W3049640930","https://openalex.org/W3083394595","https://openalex.org/W3095634332","https://openalex.org/W3098400458","https://openalex.org/W3098768946","https://openalex.org/W3099122943","https://openalex.org/W3099351752","https://openalex.org/W3100104947","https://openalex.org/W3100588793","https://openalex.org/W3100771756","https://openalex.org/W3101906668","https://openalex.org/W3102093225","https://openalex.org/W3102313129","https://openalex.org/W3102829574","https://openalex.org/W3102885034","https://openalex.org/W3103440740","https://openalex.org/W3103695060","https://openalex.org/W3103724206","https://openalex.org/W3103832480","https://openalex.org/W3104283219","https://openalex.org/W3104955250","https://openalex.org/W3105192996","https://openalex.org/W3105251105","https://openalex.org/W3106177429","https://openalex.org/W3107698810","https://openalex.org/W3130824505","https://openalex.org/W3132743969","https://openalex.org/W3132929354","https://openalex.org/W3133779704","https://openalex.org/W3134827716","https://openalex.org/W3136765253","https://openalex.org/W3156067809","https://openalex.org/W3156803014","https://openalex.org/W3166828799","https://openalex.org/W3173713405","https://openalex.org/W3180787675","https://openalex.org/W3199656449","https://openalex.org/W3203432400","https://openalex.org/W3210270341","https://openalex.org/W4206592462","https://openalex.org/W4210910725","https://openalex.org/W4214879612","https://openalex.org/W4226025213","https://openalex.org/W4230166666","https://openalex.org/W4246253703","https://openalex.org/W4251772031","https://openalex.org/W4287070473","https://openalex.org/W4292544772","https://openalex.org/W4293337988","https://openalex.org/W4298069009","https://openalex.org/W4299321766","https://openalex.org/W4307107875","https://openalex.org/W6940324538"],"related_works":["https://openalex.org/W1994680671","https://openalex.org/W2000283393","https://openalex.org/W2002320543","https://openalex.org/W2150232912","https://openalex.org/W1652001825","https://openalex.org/W1984391726","https://openalex.org/W2025643442","https://openalex.org/W1657188970","https://openalex.org/W2036241378","https://openalex.org/W72711369"],"abstract_inverted_index":{"We":[0,110],"propose,":[1],"formulate":[2],"and":[3,8,27,107,146,156,175,187,243,257],"examine":[4],"novel":[5,102,233],"quantum":[6,61,129,177],"systems":[7],"behavioral":[9,158,180],"phases":[10,159],"in":[11,20],"which":[12,70,136],"momentary":[13],"choices":[14],"of":[15,31,38,54,80,85,96,154,160,172,218],"the":[16,24,32,39,41,55,86,97,122,127,140,151,194,247],"system&amp;apos;s":[17,56],"memories":[18,130],"interact":[19],"order":[21,167],"to":[22,211],"source":[23],"internal":[25],"interactions":[26,231],"unitary":[28,42,73,115,220],"time":[29,94],"evolutions":[30,74,95,116,163,221],"system.":[33],"In":[34],"a":[35],"closed":[36,87],"system":[37,88],"kind,":[40],"evolution":[43],"operator":[44],"is":[45],"updated,":[46],"moment":[47],"by":[48,50,101,139,165],"moment,":[49],"being":[51],"remade":[52],"out":[53,171],"`experience&amp;apos;,":[57],"that":[58,112,121,229],"is,":[59],"its":[60,90],"state":[62],"history.":[63],"The":[64,93,179,205],"`Quantum":[65],"Memory":[66],"Made&amp;apos;":[67],"Hamiltonians":[68],"(QMM-Hs)":[69],"generate":[71],"these":[72],"are":[75,99,117,137,185,209],"Hermitian":[76],"nonlocal-in-time":[77],"operators":[78,84],"composed":[79],"arbitrarily-chosen":[81],"past-until-present":[82],"density":[83],"or":[89],"arbitrary":[91],"subsystems.":[92],"kind":[98],"described":[100],"nonlocal":[103],"nonlinear":[104],"von":[105],"Neumann":[106],"Schr\u00f6dinger":[108],"equations.":[109],"establish":[111],"nontrivial":[113],"Purely-QMM":[114],"`Robustly":[118],"Non-Markovian&amp;apos;,":[119],"meaning":[120],"maximum":[123],"temporal":[124],"distances":[125],"between":[126],"chosen":[128],"must":[131],"exceed":[132],"finite":[133],"lower":[134],"bounds":[135],"set":[138],"interaction":[141],"couplings.":[142],"After":[143],"general":[144],"formulation":[145],"considerations,":[147],"we":[148,227,239],"focus":[149],"on":[150],"sufficiently-involved":[152],"task":[153],"obtaining":[155],"classifying":[157],"one-qubit":[161],"pure-state":[162],"generated":[164],"first-to-third":[166],"polynomial":[168],"QMM-Hs":[169,184],"made":[170],"one,":[173],"two":[174],"three":[176],"memories.":[178],"attractors":[181],"resulted":[182],"from":[183],"characterized":[186],"classified":[188],"using":[189],"QMM":[190,206,230],"two-point-function":[191],"observables":[192],"as":[193],"natural":[195],"probes,":[196],"upon":[197],"combining":[198],"analytical":[199],"methods":[200],"with":[201,222],"extensive":[202],"numerical":[203],"analyses.":[204],"phase":[207,236],"diagrams":[208],"shown":[210],"be":[212,254],"outstandingly":[213],"rich,":[214],"having":[215],"diverse":[216],"classes":[217],"unprecedented":[219],"physically":[223],"remarkable":[224],"behaviors.":[225],"Moreover,":[226],"show":[228],"cause":[232],"purely-internal":[234],"dynamical":[235],"transitions.":[237],"Finally,":[238],"suggest":[240],"independent":[241],"fundamental":[242],"applied":[244,255],"domains":[245],"where":[246],"proposed":[248],"`Experience":[249],"Centric&amp;apos;":[250],"Unitary":[251],"Evolutions":[252],"can":[253],"natuarlly":[256],"advantageously.":[258]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2023-05-18T00:00:00"}
