{"id":"https://openalex.org/W4411378131","doi":"https://doi.org/10.22331/q-2025-06-17-1771","title":"Exact, Average, and Broken Symmetries in a Simple Adaptive Monitored Circuit","display_name":"Exact, Average, and Broken Symmetries in a Simple Adaptive Monitored Circuit","publication_year":2025,"publication_date":"2025-06-17","ids":{"openalex":"https://openalex.org/W4411378131","doi":"https://doi.org/10.22331/q-2025-06-17-1771"},"language":"en","primary_location":{"id":"doi:10.22331/q-2025-06-17-1771","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-06-17-1771","pdf_url":"https://quantum-journal.org/papers/q-2025-06-17-1771/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-2025-06-17-1771/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100382278","display_name":"Zhi Li","orcid":"https://orcid.org/0000-0002-4005-800X"},"institutions":[{"id":"https://openalex.org/I183974707","display_name":"Perimeter Institute","ror":"https://ror.org/013m0ej23","country_code":"CA","type":"facility","lineage":["https://openalex.org/I183974707"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Zhi Li","raw_affiliation_strings":["Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada","institution_ids":["https://openalex.org/I183974707"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029008172","display_name":"Zhu-Xi Luo","orcid":"https://orcid.org/0000-0001-8715-6582"},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhu-Xi Luo","raw_affiliation_strings":["Department of Physics, Harvard University, Cambridge MA-02138, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Harvard University, Cambridge MA-02138, USA","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":2.792,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.90829082,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":98},"biblio":{"volume":"9","issue":null,"first_page":"1771","last_page":"1771"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9987999796867371,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9987999796867371,"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/T11804","display_name":"Quantum many-body systems","score":0.9987000226974487,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.996399998664856,"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/simple","display_name":"Simple (philosophy)","score":0.7079988718032837},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.6506783962249756},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4025109112262726},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38285887241363525},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.38083407282829285},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.37938109040260315},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3635793626308441},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33945029973983765},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3385798931121826},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14452868700027466},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.13070189952850342},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.08235269784927368},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07665073871612549}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7079988718032837},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.6506783962249756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4025109112262726},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38285887241363525},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.38083407282829285},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.37938109040260315},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3635793626308441},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33945029973983765},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3385798931121826},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14452868700027466},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.13070189952850342},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.08235269784927368},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07665073871612549},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2025-06-17-1771","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-06-17-1771","pdf_url":"https://quantum-journal.org/papers/q-2025-06-17-1771/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:71b2a93b3985468aaf3a88221d00c287","is_oa":true,"landing_page_url":"https://doaj.org/article/71b2a93b3985468aaf3a88221d00c287","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 9, p 1771 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2025-06-17-1771","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-06-17-1771","pdf_url":"https://quantum-journal.org/papers/q-2025-06-17-1771/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":[],"funders":[{"id":"https://openalex.org/F4320319880","display_name":"Government of Canada","ror":"https://ror.org/010q4q527"},{"id":"https://openalex.org/F4320331462","display_name":"Institut P\u00e9rim\u00e8tre de physique th\u00e9orique","ror":"https://ror.org/013m0ej23"},{"id":"https://openalex.org/F4320331473","display_name":"Ministry of Colleges and Universities","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4411378131.pdf","grobid_xml":"https://content.openalex.org/works/W4411378131.grobid-xml"},"referenced_works_count":72,"referenced_works":["https://openalex.org/W139685425","https://openalex.org/W648601527","https://openalex.org/W1993255105","https://openalex.org/W2013508664","https://openalex.org/W2018259456","https://openalex.org/W2024370589","https://openalex.org/W2038618968","https://openalex.org/W2065873657","https://openalex.org/W2078058516","https://openalex.org/W2089837601","https://openalex.org/W2113487168","https://openalex.org/W2116155634","https://openalex.org/W2520291735","https://openalex.org/W2886483748","https://openalex.org/W2886712022","https://openalex.org/W2888053895","https://openalex.org/W2913031193","https://openalex.org/W2945488351","https://openalex.org/W2967300259","https://openalex.org/W2969894439","https://openalex.org/W2978441059","https://openalex.org/W2986209554","https://openalex.org/W2990514154","https://openalex.org/W3016804677","https://openalex.org/W3019209541","https://openalex.org/W3020745342","https://openalex.org/W3036861417","https://openalex.org/W3088018036","https://openalex.org/W3090080812","https://openalex.org/W3097824418","https://openalex.org/W3102296152","https://openalex.org/W3102911478","https://openalex.org/W3119369744","https://openalex.org/W3129405940","https://openalex.org/W3130389939","https://openalex.org/W3147011799","https://openalex.org/W3168406902","https://openalex.org/W3186107346","https://openalex.org/W3199011199","https://openalex.org/W3209276907","https://openalex.org/W4220802605","https://openalex.org/W4226066309","https://openalex.org/W4293171638","https://openalex.org/W4307936367","https://openalex.org/W4308709655","https://openalex.org/W4317805264","https://openalex.org/W4320858052","https://openalex.org/W4379383440","https://openalex.org/W4379518717","https://openalex.org/W4383905530","https://openalex.org/W4384028946","https://openalex.org/W4385576694","https://openalex.org/W4385707242","https://openalex.org/W4385954927","https://openalex.org/W4386767172","https://openalex.org/W4386767186","https://openalex.org/W4389082121","https://openalex.org/W4389305711","https://openalex.org/W4391403527","https://openalex.org/W4393222423","https://openalex.org/W4394672652","https://openalex.org/W4402271535","https://openalex.org/W4403564598","https://openalex.org/W4403606836","https://openalex.org/W4403795793","https://openalex.org/W4405367712","https://openalex.org/W4406192833","https://openalex.org/W4406242705","https://openalex.org/W4406758293","https://openalex.org/W4408189470","https://openalex.org/W4408798448","https://openalex.org/W4410550711"],"related_works":["https://openalex.org/W2382521049","https://openalex.org/W4300711749","https://openalex.org/W1585007175","https://openalex.org/W2144385241","https://openalex.org/W2246967737","https://openalex.org/W4300101996","https://openalex.org/W2165950148","https://openalex.org/W4253593777","https://openalex.org/W2951497643","https://openalex.org/W1983192181"],"abstract_inverted_index":{"Symmetry":[0],"is":[1,122],"a":[2,20,60,73,79,84,128],"powerful":[3],"tool":[4],"for":[5,22,39,116],"understanding":[6],"phases":[7,44],"of":[8,25,29,108],"matter":[9,26],"in":[10,59,70,105,127,144],"equilibrium.":[11,30],"Quantum":[12],"circuits":[13],"with":[14],"measurements":[15],"have":[16],"recently":[17],"emerged":[18],"as":[19,35],"platform":[21],"novel":[23,41],"states":[24],"intrinsically":[27],"out":[28],"Can":[31],"symmetry":[32,104,115],"be":[33],"used":[34],"an":[36,53,67],"organizing":[37],"principle":[38],"these":[40],"states,":[42],"their":[43],"and":[45],"phase":[46],"transitions?":[47],"In":[48],"this":[49,57],"work,":[50],"we":[51],"give":[52],"affirmative":[54],"answer":[55],"to":[56,72,124,153],"question":[58],"simple":[61],"adaptive":[62],"monitored":[63],"circuit,":[64],"which":[65],"hosts":[66],"ordering":[68,120],"transition":[69,121,126,142],"addition":[71],"separate":[74],"entanglement":[75,141],"transition,":[76],"upon":[77],"tuning":[78,91],"single":[80],"parameter.":[81],"Starting":[82],"from":[83],"symmetry-breaking":[85],"initial":[86],"state,":[87],"depending":[88],"on":[89],"the":[90,93,102,106,113,125,135,140,145,155],"parameter,":[92],"steady":[94],"state":[95],"could":[96],"(i)":[97],"remain":[98],"symmetry-broken,":[99],"(ii)":[100],"exhibit":[101,112],"average":[103],"ensemble":[107],"trajectories,":[109],"or":[110],"(iii)":[111],"exact":[114],"each":[117],"trajectory.":[118],"The":[119],"mapped":[123],"classical":[129],"majority":[130],"vote":[131],"model,":[132],"described":[133],"by":[134],"Ising":[136],"universality":[137],"class,":[138],"while":[139],"lies":[143],"percolation":[146],"class.":[147],"Numerical":[148],"simulations":[149],"are":[150],"further":[151],"presented":[152],"support":[154],"analytical":[156],"understandings.":[157]},"counts_by_year":[{"year":2026,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
