{"id":"https://openalex.org/W4407975436","doi":"https://doi.org/10.22331/q-2025-02-26-1646","title":"Squashed quantum non-Markovianity: a measure of genuine quantum non-Markovianity in states","display_name":"Squashed quantum non-Markovianity: a measure of genuine quantum non-Markovianity in states","publication_year":2025,"publication_date":"2025-02-26","ids":{"openalex":"https://openalex.org/W4407975436","doi":"https://doi.org/10.22331/q-2025-02-26-1646"},"language":"en","primary_location":{"id":"doi:10.22331/q-2025-02-26-1646","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-02-26-1646","pdf_url":"https://quantum-journal.org/papers/q-2025-02-26-1646/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-2025-02-26-1646/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087786420","display_name":"Rajeev Gangwar","orcid":"https://orcid.org/0000-0001-9507-6654"},"institutions":[{"id":"https://openalex.org/I165916956","display_name":"Indian Institute of Science Education and Research Mohali","ror":"https://ror.org/01vztzd79","country_code":"IN","type":"education","lineage":["https://openalex.org/I165916956"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rajeev Gangwar","raw_affiliation_strings":["Department of Physical Sciences, Indian Institute of Science Education and Research (IISER), Mohali, Punjab 140306, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physical Sciences, Indian Institute of Science Education and Research (IISER), Mohali, Punjab 140306, India","institution_ids":["https://openalex.org/I165916956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008097361","display_name":"Tanmoy Pandit","orcid":"https://orcid.org/0000-0002-2377-6181"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Tanmoy Pandit","raw_affiliation_strings":["Fritz Haber Research Center for Molecular Dynamics, Hebrew University of Jerusalem, Jerusalem 9190401, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fritz Haber Research Center for Molecular Dynamics, Hebrew University of Jerusalem, Jerusalem 9190401, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065212868","display_name":"Kaumudibikash Goswami","orcid":"https://orcid.org/0000-0002-6603-8082"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Kaumudibikash Goswami","raw_affiliation_strings":["QICI Quantum Information and Computation Initiative, Department of Computer Science, The University of Hong Kong, Pokfulam Road, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"QICI Quantum Information and Computation Initiative, Department of Computer Science, The University of Hong Kong, Pokfulam Road, Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104113558","display_name":"Siddhartha Das","orcid":"https://orcid.org/0009-0006-1055-9619"},"institutions":[{"id":"https://openalex.org/I64189192","display_name":"International Institute of Information Technology, Hyderabad","ror":"https://ror.org/05f11g639","country_code":"IN","type":"education","lineage":["https://openalex.org/I64189192"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Siddhartha Das","raw_affiliation_strings":["Center for Security, Theory and Algorithmic Research (CSTAR), Centre for Quantum Science and Technology (CQST), International Institute of Information Technology, Hyderabad, Gachibowli, Telangana 500032, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Security, Theory and Algorithmic Research (CSTAR), Centre for Quantum Science and Technology (CQST), International Institute of Information Technology, Hyderabad, Gachibowli, Telangana 500032, India","institution_ids":["https://openalex.org/I64189192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060916380","display_name":"Manabendra Nath Bera","orcid":"https://orcid.org/0000-0002-8329-2656"},"institutions":[{"id":"https://openalex.org/I165916956","display_name":"Indian Institute of Science Education and Research Mohali","ror":"https://ror.org/01vztzd79","country_code":"IN","type":"education","lineage":["https://openalex.org/I165916956"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Manabendra Nath Bera","raw_affiliation_strings":["Department of Physical Sciences, Indian Institute of Science Education and Research (IISER), Mohali, Punjab 140306, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physical Sciences, Indian Institute of Science Education and Research (IISER), Mohali, Punjab 140306, India","institution_ids":["https://openalex.org/I165916956"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"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":0.9182,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.71299788,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"9","issue":null,"first_page":"1646","last_page":"1646"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9998999834060669,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9998999834060669,"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":0.9998000264167786,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.7379939556121826},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5044232606887817},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4634985625743866},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3755373954772949},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3274557590484619},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1993737518787384},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.03947827219963074}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.7379939556121826},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5044232606887817},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4634985625743866},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3755373954772949},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3274557590484619},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1993737518787384},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.03947827219963074}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2025-02-26-1646","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-02-26-1646","pdf_url":"https://quantum-journal.org/papers/q-2025-02-26-1646/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:3b3e2d6282254eea9f8faa41c3842092","is_oa":true,"landing_page_url":"https://doaj.org/article/3b3e2d6282254eea9f8faa41c3842092","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 1646 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2025-02-26-1646","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-02-26-1646","pdf_url":"https://quantum-journal.org/papers/q-2025-02-26-1646/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/G6201693827","display_name":null,"funder_award_id":"Grant No. 62312","funder_id":"https://openalex.org/F4320306193","funder_display_name":"John Templeton Foundation"}],"funders":[{"id":"https://openalex.org/F4320306193","display_name":"John Templeton Foundation","ror":"https://ror.org/035tnyy05"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4407975436.pdf"},"referenced_works_count":128,"referenced_works":["https://openalex.org/W1489319061","https://openalex.org/W1539221996","https://openalex.org/W1562371473","https://openalex.org/W1607037393","https://openalex.org/W1616015000","https://openalex.org/W1621050367","https://openalex.org/W1643506192","https://openalex.org/W1653726297","https://openalex.org/W1768735797","https://openalex.org/W1810748901","https://openalex.org/W1836655663","https://openalex.org/W1907064244","https://openalex.org/W1914854949","https://openalex.org/W1947417802","https://openalex.org/W1948605327","https://openalex.org/W1963795680","https://openalex.org/W1968087916","https://openalex.org/W1968165454","https://openalex.org/W1974928788","https://openalex.org/W1978553093","https://openalex.org/W1981501696","https://openalex.org/W1986407511","https://openalex.org/W1988155384","https://openalex.org/W1991311979","https://openalex.org/W1993611246","https://openalex.org/W2002842428","https://openalex.org/W2002923615","https://openalex.org/W2007264979","https://openalex.org/W2007737215","https://openalex.org/W2009958754","https://openalex.org/W2010138343","https://openalex.org/W2011008529","https://openalex.org/W2013695092","https://openalex.org/W2015263507","https://openalex.org/W2016990905","https://openalex.org/W2031255223","https://openalex.org/W2051051926","https://openalex.org/W2058302064","https://openalex.org/W2063301570","https://openalex.org/W2068343535","https://openalex.org/W2071849960","https://openalex.org/W2071937582","https://openalex.org/W2074053261","https://openalex.org/W2077089904","https://openalex.org/W2084499569","https://openalex.org/W2093856853","https://openalex.org/W2095384007","https://openalex.org/W2102077152","https://openalex.org/W2104812648","https://openalex.org/W2105918132","https://openalex.org/W2106308393","https://openalex.org/W2106837901","https://openalex.org/W2117584890","https://openalex.org/W2119210589","https://openalex.org/W2122166994","https://openalex.org/W2141140927","https://openalex.org/W2148725952","https://openalex.org/W2154434103","https://openalex.org/W2155028760","https://openalex.org/W2167346196","https://openalex.org/W2168792807","https://openalex.org/W2173401535","https://openalex.org/W2226968617","https://openalex.org/W2281702696","https://openalex.org/W2317012956","https://openalex.org/W2342173679","https://openalex.org/W2463647129","https://openalex.org/W2473976255","https://openalex.org/W2508304031","https://openalex.org/W2524151044","https://openalex.org/W2526522103","https://openalex.org/W2552604774","https://openalex.org/W2566121971","https://openalex.org/W2594334093","https://openalex.org/W2604467189","https://openalex.org/W2624219950","https://openalex.org/W2737486621","https://openalex.org/W2757192179","https://openalex.org/W2761323971","https://openalex.org/W2786366947","https://openalex.org/W2787752732","https://openalex.org/W2794850800","https://openalex.org/W2808319042","https://openalex.org/W2883125274","https://openalex.org/W2886418553","https://openalex.org/W2898517572","https://openalex.org/W2914467290","https://openalex.org/W2921031433","https://openalex.org/W2938089028","https://openalex.org/W2938819202","https://openalex.org/W2960649451","https://openalex.org/W2962835679","https://openalex.org/W3021157586","https://openalex.org/W3033035931","https://openalex.org/W3037365001","https://openalex.org/W3037737784","https://openalex.org/W3091915016","https://openalex.org/W3099100817","https://openalex.org/W3099412997","https://openalex.org/W3099686768","https://openalex.org/W3100510456","https://openalex.org/W3100939261","https://openalex.org/W3101967395","https://openalex.org/W3103186862","https://openalex.org/W3103289615","https://openalex.org/W3103744872","https://openalex.org/W3106280254","https://openalex.org/W3106524415","https://openalex.org/W3109424834","https://openalex.org/W3110890737","https://openalex.org/W3125731543","https://openalex.org/W3133587720","https://openalex.org/W3156067809","https://openalex.org/W3169889359","https://openalex.org/W3181528126","https://openalex.org/W3182854691","https://openalex.org/W3184917517","https://openalex.org/W3188877029","https://openalex.org/W3206028764","https://openalex.org/W3209455583","https://openalex.org/W4239873278","https://openalex.org/W4283399706","https://openalex.org/W4295602017","https://openalex.org/W4302027235","https://openalex.org/W4310985949","https://openalex.org/W4322767342","https://openalex.org/W4396821959","https://openalex.org/W4402426836"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W2271181815"],"abstract_inverted_index":{"Quantum":[0],"non-Markovianity":[1,54,62,79,134],"in":[2,97,158,183,209,211,219,227],"tripartite":[3],"quantum":[4,34,57,61,69,133,188,248],"states":[5,146],"<mml:math":[6,14,17,24],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mi>&amp;#x03C1;</mml:mi><mml:mrow":[7],"class=\"MJX-TeXAtom-ORD\"><mml:mi>A</mml:mi><mml:mi>B</mml:mi><mml:mi>C</mml:mi></mml:mrow></mml:msub></mml:math>":[8],"represents":[9],"a":[10,37,50,136,139,228,245],"correlation":[11],"between":[12,94],"systems":[13,96],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>A</mml:mi></mml:math>":[15],"and":[16,26,33,73,101,127,150,175],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>C</mml:mi></mml:math>":[18],"when":[19],"conditioned":[20],"on":[21,67,124],"the":[22,41,68,77,91,98,105,110,116,167,187,207,212,221,237,240,254,257],"system":[23],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>B</mml:mi></mml:math>":[25],"is":[27,43,65,74,87,102,118,203,235,251],"known":[28],"to":[29,165,176,195],"have":[30],"both":[31],"classical":[32],"contributions.":[35,85],"However,":[36],"systematic":[38],"characterization":[39],"of":[40,55,107,109,169,224,230,247,256],"latter":[42],"missing.":[44],"To":[45],"address":[46],"this,":[47],"we":[48,185],"propose":[49],"faithful":[51],"measure":[52],"for":[53,244],"genuine":[56,132],"origin":[58],"called":[59],"squashed":[60,92],"(sQNM).":[63],"It":[64,86],"based":[66],"conditional":[70,231],"mutual":[71],"information":[72],"defined":[75],"by":[76,90,104,206],"left-over":[78],"after":[80,143],"squashing":[81],"out":[82],"all":[83],"non-quantum":[84],"lower":[88,204],"bounded":[89,205],"entanglement":[93],"non-conditioning":[95,111],"reduced":[99],"state":[100,170,178],"delimited":[103],"extendibility":[106],"either":[108],"systems.":[112],"We":[113,130,160],"show":[114],"that":[115,153],"sQNM":[117,149,157,210,215,255],"monogamous,":[119],"asymptotically":[120],"continuous,":[121],"convex,":[122],"additive":[123],"tensor-product":[125],"states,":[126],"generally":[128],"super-additive.":[129],"characterize":[131],"as":[135],"resource":[137,141],"via":[138],"convex":[140],"theory":[142],"identifying":[144],"free":[145,151,173],"with":[147],"vanishing":[148],"operations":[152,174],"do":[154],"not":[155],"increase":[156],"states.":[159,213],"use":[161],"our":[162],"resource-theoretic":[163],"framework":[164],"bound":[166],"rate":[168,223],"transformations":[171],"under":[172,180],"study":[177],"transformation":[179],"non-free":[181],"operations;":[182],"particular,":[184,220],"find":[186],"communication":[189,226],"cost":[190,243],"from":[191],"Bob":[192],"(<mml:math":[193,197,201],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>B</mml:mi></mml:math>)":[194],"Alice":[196],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>A</mml:mi></mml:math>)":[198],"or":[199],"Charlie":[200],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>C</mml:mi></mml:math>)":[202],"change":[208],"The":[214],"finds":[216],"operational":[217],"meaning;":[218],"optimal":[222],"private":[225],"variant":[229,246],"one-time":[232],"pad":[233],"protocol":[234,250],"twice":[236,253],"sQNM.":[238],"Also,":[239],"minimum":[241],"deconstruction":[242,249],"given":[252],"state.":[258]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}