{"id":"https://openalex.org/W4205152383","doi":"https://doi.org/10.1109/tit.2022.3140469","title":"Entanglement Dynamics From Random Product States: Deviation From Maximal Entanglement","display_name":"Entanglement Dynamics From Random Product States: Deviation From Maximal Entanglement","publication_year":2022,"publication_date":"2022-01-05","ids":{"openalex":"https://openalex.org/W4205152383","doi":"https://doi.org/10.1109/tit.2022.3140469"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3140469","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3140469","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031172482","display_name":"Yichen Huang","orcid":"https://orcid.org/0000-0002-8496-9251"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yichen Huang","raw_affiliation_strings":["Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, USA"],"raw_orcid":"https://orcid.org/0000-0002-8496-9251","affiliations":[{"raw_affiliation_string":"Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031172482"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.7748,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.66126853,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"68","issue":"5","first_page":"3200","last_page":"3207"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":1.0,"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":1.0,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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":0.9908000230789185,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.9296059608459473},{"id":"https://openalex.org/keywords/squashed-entanglement","display_name":"Squashed entanglement","score":0.7282323837280273},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.5381525158882141},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5343764424324036},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5203944444656372},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.5072502493858337},{"id":"https://openalex.org/keywords/multipartite-entanglement","display_name":"Multipartite entanglement","score":0.5060691237449646},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5051844716072083},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.47653326392173767},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.4400845468044281},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4339102506637573},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.392745703458786},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.358910471200943},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14617395401000977}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.9296059608459473},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.7282323837280273},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.5381525158882141},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5343764424324036},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5203944444656372},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.5072502493858337},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.5060691237449646},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5051844716072083},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.47653326392173767},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.4400845468044281},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4339102506637573},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.392745703458786},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.358910471200943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14617395401000977},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3140469","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3140469","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/15","score":0.6899999976158142,"display_name":"Life in Land"}],"awards":[{"id":"https://openalex.org/G7953393751","display_name":null,"funder_award_id":"PHY-1818914","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320315121","display_name":"Samsung Advanced Institute of Technology","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":91,"referenced_works":["https://openalex.org/W1515398177","https://openalex.org/W1549606184","https://openalex.org/W1680325105","https://openalex.org/W1922629554","https://openalex.org/W1944722564","https://openalex.org/W1977271250","https://openalex.org/W1977807148","https://openalex.org/W1990516747","https://openalex.org/W1995999485","https://openalex.org/W1999423794","https://openalex.org/W2001845880","https://openalex.org/W2002610419","https://openalex.org/W2007833526","https://openalex.org/W2010138343","https://openalex.org/W2012325037","https://openalex.org/W2019692968","https://openalex.org/W2026855143","https://openalex.org/W2027976682","https://openalex.org/W2036346714","https://openalex.org/W2036604884","https://openalex.org/W2037772232","https://openalex.org/W2054381333","https://openalex.org/W2055281720","https://openalex.org/W2066972040","https://openalex.org/W2069285834","https://openalex.org/W2084806897","https://openalex.org/W2098572895","https://openalex.org/W2105918132","https://openalex.org/W2116015765","https://openalex.org/W2120998799","https://openalex.org/W2126511900","https://openalex.org/W2201372462","https://openalex.org/W2268949487","https://openalex.org/W2344612405","https://openalex.org/W2576683276","https://openalex.org/W2619619341","https://openalex.org/W2707643419","https://openalex.org/W2735740957","https://openalex.org/W2744155335","https://openalex.org/W2753161834","https://openalex.org/W2755912844","https://openalex.org/W2759152603","https://openalex.org/W2759569957","https://openalex.org/W2768739926","https://openalex.org/W2769667849","https://openalex.org/W2770060084","https://openalex.org/W2801806442","https://openalex.org/W2911926864","https://openalex.org/W2923419439","https://openalex.org/W2924003817","https://openalex.org/W2963370031","https://openalex.org/W2964070575","https://openalex.org/W2964241118","https://openalex.org/W2964867546","https://openalex.org/W2989102309","https://openalex.org/W3023808427","https://openalex.org/W3037056913","https://openalex.org/W3037535514","https://openalex.org/W3040167883","https://openalex.org/W3098359899","https://openalex.org/W3099910742","https://openalex.org/W3101214174","https://openalex.org/W3101916665","https://openalex.org/W3102987717","https://openalex.org/W3103248090","https://openalex.org/W3105147574","https://openalex.org/W3105218880","https://openalex.org/W3105838549","https://openalex.org/W3110695856","https://openalex.org/W3123688945","https://openalex.org/W3130518487","https://openalex.org/W3133975785","https://openalex.org/W3150938214","https://openalex.org/W3176979959","https://openalex.org/W3200052424","https://openalex.org/W3201391031","https://openalex.org/W4243381896","https://openalex.org/W4287240849","https://openalex.org/W6630640137","https://openalex.org/W6637551478","https://openalex.org/W6640556030","https://openalex.org/W6677418603","https://openalex.org/W6677755324","https://openalex.org/W6687922082","https://openalex.org/W6741110629","https://openalex.org/W6746142714","https://openalex.org/W6746628415","https://openalex.org/W6761149622","https://openalex.org/W6766192790","https://openalex.org/W6793446417","https://openalex.org/W6910784647"],"related_works":["https://openalex.org/W4394656853","https://openalex.org/W1670210972","https://openalex.org/W2949206259","https://openalex.org/W2051172288","https://openalex.org/W4298151829","https://openalex.org/W2163823377","https://openalex.org/W2091840046","https://openalex.org/W2075028353","https://openalex.org/W2949725629","https://openalex.org/W3125362953"],"abstract_inverted_index":{"We":[0,72],"study":[1],"the":[2,11,28,35,58,66,86,92,95,108],"entanglement":[3,29,60,96],"dynamics":[4,101],"of":[5,104],"quantum":[6],"many-body":[7],"systems":[8],"and":[9,84,102],"prove":[10],"following:":[12],"(I)":[13],"For":[14],"any":[15,55,78],"geometrically":[16],"local":[17],"Hamiltonian":[18,100],"on":[19],"a":[20,24,46],"lattice,":[21],"starting":[22,53],"from":[23,34,54,65],"random":[25,50,105],"product":[26,56],"state":[27,57],"entropy":[30,37,61,68],"is":[31,62,110],"bounded":[32,63],"away":[33,64],"maximum":[36,67],"at":[38,69],"all":[39,70],"times":[40],"with":[41,49,81],"high":[42],"probability.":[43],"(II)":[44],"In":[45],"spin-glass":[47],"model":[48],"all-to-all":[51],"interactions,":[52],"average":[59],"times.":[71],"also":[73],"extend":[74],"these":[75],"results":[76,90],"to":[77,85],"unitary":[79],"evolution":[80],"charge":[82],"conservation":[83],"Sachdev-Ye-Kitaev":[87],"model.":[88],"Our":[89],"highlight":[91],"difference":[93],"between":[94],"generated":[97],"by":[98],"(chaotic)":[99],"that":[103],"states,":[106],"for":[107],"latter":[109],"nearly":[111],"maximal.":[112]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}