{"id":"https://openalex.org/W7160024869","doi":"https://doi.org/10.48550/arxiv.2605.00088","title":"A Unified Framework for Locally Stable Phases","display_name":"A Unified Framework for Locally Stable Phases","publication_year":2026,"publication_date":"2026-04-30","ids":{"openalex":"https://openalex.org/W7160024869","doi":"https://doi.org/10.48550/arxiv.2605.00088"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2605.00088","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.00088","pdf_url":"https://arxiv.org/pdf/2605.00088","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/2605.00088","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135126091","display_name":"Zhi Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Li, Zhi","raw_affiliation_strings":["IBM Quantum , IBM Research"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Quantum , IBM Research","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015010450","display_name":"Raz Firanko","orcid":"https://orcid.org/0009-0002-9604-4755","observed_orcids":["https://orcid.org/0009-0002-9604-4755"]},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"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":"Firanko, Raz","raw_affiliation_strings":["Institute for Quantum Computing (IQC) , University of Waterloo , Ontario , Canada","Perimeter Institute for Theoretical Physics , Waterloo , Ontario N2L 2Y5 , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing (IQC) , University of Waterloo , Ontario , Canada","institution_ids":["https://openalex.org/I151746483"]},{"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/A5010978400","display_name":"Timothy H. Hsieh","orcid":"https://orcid.org/0000-0001-8627-0965","observed_orcids":["https://orcid.org/0000-0001-8627-0965"]},"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":"Hsieh, Timothy H.","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"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":10,"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/T11804","display_name":"Quantum many-body systems","score":0.9916999936103821,"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":0.9916999936103821,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.0038999998942017555,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.0006000000284984708,"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/short-range-correlations","display_name":"short-range correlations","score":0.777999997138977},{"id":"https://openalex.org/keywords/conditional-mutual-information","display_name":"conditional mutual information","score":0.8980000019073486},{"id":"https://openalex.org/keywords/post-selection","display_name":"post-selection","score":0.6539999842643738},{"id":"https://openalex.org/keywords/quantum-markov-chains","display_name":"quantum Markov chains","score":0.7739999890327454},{"id":"https://openalex.org/keywords/mixed-states","display_name":"mixed states","score":0.5379999876022339},{"id":"https://openalex.org/keywords/metastability","display_name":"metastability","score":0.5960000157356262}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6292999982833862},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5497999787330627},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.529699981212616},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5041999816894531},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.475600004196167},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.459199994802475},{"id":"https://openalex.org/C89464430","wikidata":"https://www.wikidata.org/wiki/Q849516","display_name":"Metastability","level":2,"score":0.4422999918460846},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.37139999866485596},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.3675999939441681},{"id":"https://openalex.org/C152062344","wikidata":"https://www.wikidata.org/wiki/Q818888","display_name":"Computability","level":2,"score":0.3621000051498413},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36010000109672546},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.35569998621940613},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.3555000126361847},{"id":"https://openalex.org/C174348530","wikidata":"https://www.wikidata.org/wiki/Q188635","display_name":"Bridging (networking)","level":2,"score":0.34459999203681946},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.3084999918937683},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3018999993801117},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3003999888896942},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.28529998660087585},{"id":"https://openalex.org/C106666656","wikidata":"https://www.wikidata.org/wiki/Q6771323","display_name":"Markov kernel","level":5,"score":0.26080000400543213}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2605.00088","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.00088","pdf_url":"https://arxiv.org/pdf/2605.00088","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.2605.00088","doi":"https://doi.org/10.48550/arxiv.2605.00088","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.00088","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:2605.00088","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2605.00088","pdf_url":"https://arxiv.org/pdf/2605.00088","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":[],"funders":[{"id":"https://openalex.org/F4320319880","display_name":"Government of Canada","ror":"https://ror.org/010q4q527"},{"id":"https://openalex.org/F4320321716","display_name":"Industry Canada","ror":"https://ror.org/03zp01h17"},{"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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7160024869.pdf","grobid_xml":"https://content.openalex.org/works/W7160024869.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W2070688644","https://openalex.org/W2126081578","https://openalex.org/W2140788376","https://openalex.org/W2148819446","https://openalex.org/W4298336045","https://openalex.org/W4316843755","https://openalex.org/W4404403012","https://openalex.org/W4407806291","https://openalex.org/W4408332252","https://openalex.org/W4408661598","https://openalex.org/W4415313785","https://openalex.org/W4415313795","https://openalex.org/W4417266641","https://openalex.org/W7104042020","https://openalex.org/W7118409401","https://openalex.org/W7128999893","https://openalex.org/W7130532347","https://openalex.org/W7154985094","https://openalex.org/W7172487664","https://openalex.org/W7204494761","https://openalex.org/W7220851486"],"related_works":["https://openalex.org/W2771289758","https://openalex.org/W2522398011","https://openalex.org/W4407841517","https://openalex.org/W7221530111","https://openalex.org/W2001837453","https://openalex.org/W7104042020","https://openalex.org/W1971258806","https://openalex.org/W2111920815","https://openalex.org/W2079216236","https://openalex.org/W1873328823"],"abstract_inverted_index":{"We":[0,21,48,73],"propose":[1],"a":[2,45,56,100],"unifying":[3],"framework":[4],"for":[5],"characterizing":[6],"pure":[7,125],"and":[8,18,69,109,124,157],"mixed":[9,123],"state":[10,57],"phases":[11],"of":[12,25,66,99,102,112,137,169],"matter":[13],"across":[14],"equilibrium,":[15,17],"non":[16],"metastable":[19],"regimes.":[20],"introduce":[22],"the":[23,31,64,97,106,110,115,120,128,166],"concept":[24],"locally":[26,81,86,145],"stable":[27,87,146],"states,":[28],"defined":[29,62],"by":[30,44,63,165],"operational":[32],"property":[33],"that":[34,50,75,92,142,158],"any":[35],"local":[36,46,51,93,155,167],"operation":[37],"(including":[38],"post":[39],"selection)":[40],"can":[41,151,162],"be":[42,136,152,163],"reversed":[43],"channel.":[47],"prove":[49,91],"stability":[52,94],"is":[53],"equivalent":[54],"to":[55],"being":[58],"short":[59],"range":[60,148],"correlated,":[61],"decay":[65,98,111],"both":[67,96],"correlations":[68,113],"conditional":[70],"mutual":[71],"information.":[72],"demonstrate":[74],"these":[76],"properties":[77],"are":[78],"invariant":[79],"under":[80],"reversible":[82],"channels,":[83],"thus":[84,118],"defining":[85],"phases.":[88],"Furthermore,":[89],"we":[90,130,140],"implies":[95],"family":[101],"nonlinear":[103,170],"correlators,":[104],"including":[105],"fidelity":[107],"correlator,":[108],"in":[114],"canonical":[116],"purification,":[117],"bridging":[119],"gap":[121],"between":[122],"states.":[126],"Along":[127],"way,":[129],"establish":[131],"two":[132],"results":[133],"which":[134],"may":[135],"independent":[138],"interest:":[139],"show":[141],"post-selection":[143],"on":[144],"(short":[147],"correlated)":[149],"states":[150],"implemented":[153],"via":[154],"channels":[156],"quantum":[159],"Markov":[160],"chains":[161],"characterized":[164],"computability":[168],"observables.":[171]},"counts_by_year":[{"year":2026,"cited_by_count":10}],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-05-05T00:00:00"}