{"id":"https://openalex.org/W4388293060","doi":"https://doi.org/10.22331/q-2023-11-03-1158","title":"Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion","display_name":"Completely Positive Map for Noisy Driven Quantum Systems Derived by Keldysh Expansion","publication_year":2023,"publication_date":"2023-11-03","ids":{"openalex":"https://openalex.org/W4388293060","doi":"https://doi.org/10.22331/q-2023-11-03-1158"},"language":"en","primary_location":{"id":"doi:10.22331/q-2023-11-03-1158","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-11-03-1158","pdf_url":"https://quantum-journal.org/papers/q-2023-11-03-1158/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-2023-11-03-1158/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033146300","display_name":"Ziwen Huang","orcid":"https://orcid.org/0000-0001-5754-930X"},"institutions":[{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ziwen Huang","raw_affiliation_strings":["Superconducting Quantum Materials and Systems Center, Fermi National Accelerator Laboratory (FNAL), Batavia, IL 60510, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Superconducting Quantum Materials and Systems Center, Fermi National Accelerator Laboratory (FNAL), Batavia, IL 60510, USA","institution_ids":["https://openalex.org/I1314696892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032989861","display_name":"Yunwei Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yunwei Lu","raw_affiliation_strings":["Department of Physics and Astronomy, Northwestern University, Evanston, IL 60208, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, Northwestern University, Evanston, IL 60208, USA","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023927544","display_name":"Anna Grassellino","orcid":"https://orcid.org/0000-0002-3985-8296"},"institutions":[{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Anna Grassellino","raw_affiliation_strings":["Superconducting Quantum Materials and Systems Center, Fermi National Accelerator Laboratory (FNAL), Batavia, IL 60510, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Superconducting Quantum Materials and Systems Center, Fermi National Accelerator Laboratory (FNAL), Batavia, IL 60510, USA","institution_ids":["https://openalex.org/I1314696892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032069087","display_name":"Alexander Romanenko","orcid":"https://orcid.org/0000-0003-1378-0870"},"institutions":[{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander Romanenko","raw_affiliation_strings":["Superconducting Quantum Materials and Systems Center, Fermi National Accelerator Laboratory (FNAL), Batavia, IL 60510, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Superconducting Quantum Materials and Systems Center, Fermi National Accelerator Laboratory (FNAL), Batavia, IL 60510, USA","institution_ids":["https://openalex.org/I1314696892"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010126138","display_name":"Jens Koch","orcid":"https://orcid.org/0000-0002-5047-631X"},"institutions":[{"id":"https://openalex.org/I111979921","display_name":"Northwestern University","ror":"https://ror.org/000e0be47","country_code":"US","type":"education","lineage":["https://openalex.org/I111979921"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jens Koch","raw_affiliation_strings":["Department of Physics and Astronomy, Northwestern University, Evanston, IL 60208, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics and Astronomy, Northwestern University, Evanston, IL 60208, USA","institution_ids":["https://openalex.org/I111979921"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108271487","display_name":"Shaojiang Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I1314696892","display_name":"Fermi National Accelerator Laboratory","ror":"https://ror.org/020hgte69","country_code":"US","type":"facility","lineage":["https://openalex.org/I1314696892","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210114836"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shaojiang Zhu","raw_affiliation_strings":["Superconducting Quantum Materials and Systems Center, Fermi National Accelerator Laboratory (FNAL), Batavia, IL 60510, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Superconducting Quantum Materials and Systems Center, Fermi National Accelerator Laboratory (FNAL), Batavia, IL 60510, USA","institution_ids":["https://openalex.org/I1314696892"]}]}],"institutions":[],"countries_distinct_count":1,"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":0.4773,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69798094,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"7","issue":null,"first_page":"1158","last_page":"1158"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998999834060669,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.998199999332428,"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/quantum-decoherence","display_name":"Quantum decoherence","score":0.8041795492172241},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.7501710057258606},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6085100173950195},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.5681703686714172},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5031682848930359},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4395171105861664},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.42752018570899963},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.4259181618690491},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34592998027801514},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.34434399008750916}],"concepts":[{"id":"https://openalex.org/C122527463","wikidata":"https://www.wikidata.org/wiki/Q578430","display_name":"Quantum decoherence","level":3,"score":0.8041795492172241},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.7501710057258606},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6085100173950195},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.5681703686714172},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5031682848930359},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4395171105861664},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42752018570899963},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.4259181618690491},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34592998027801514},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.34434399008750916},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2023-11-03-1158","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-11-03-1158","pdf_url":"https://quantum-journal.org/papers/q-2023-11-03-1158/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:osti.gov:1988447","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/1988447","pdf_url":"https://www.osti.gov/servlets/purl/1988447","source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},{"id":"pmh:oai:doaj.org/article:880e26462cca4deb9f84cda8470ab8d5","is_oa":true,"landing_page_url":"https://doaj.org/article/880e26462cca4deb9f84cda8470ab8d5","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 1158 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2023-11-03-1158","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-11-03-1158","pdf_url":"https://quantum-journal.org/papers/q-2023-11-03-1158/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/G498139845","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G585908603","display_name":null,"funder_award_id":"AC02-07CH11359","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5962495253","display_name":null,"funder_award_id":"DE-AC02-07CH11359","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G6558272803","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G969889393","display_name":null,"funder_award_id":"DE-AC02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388293060.pdf"},"referenced_works_count":69,"referenced_works":["https://openalex.org/W1521266393","https://openalex.org/W1578322733","https://openalex.org/W1951688121","https://openalex.org/W1978533437","https://openalex.org/W1992629111","https://openalex.org/W1997193187","https://openalex.org/W2015683881","https://openalex.org/W2020615058","https://openalex.org/W2022761601","https://openalex.org/W2034844459","https://openalex.org/W2039331148","https://openalex.org/W2054475540","https://openalex.org/W2060352036","https://openalex.org/W2071470060","https://openalex.org/W2095082946","https://openalex.org/W2138609741","https://openalex.org/W2150379577","https://openalex.org/W2154196599","https://openalex.org/W2518420053","https://openalex.org/W2547135494","https://openalex.org/W2556861571","https://openalex.org/W2588089879","https://openalex.org/W2606975978","https://openalex.org/W2611050590","https://openalex.org/W2743716481","https://openalex.org/W2781738013","https://openalex.org/W2898162145","https://openalex.org/W2909598767","https://openalex.org/W2953024697","https://openalex.org/W2964600965","https://openalex.org/W3009997434","https://openalex.org/W3020724892","https://openalex.org/W3022414932","https://openalex.org/W3045572774","https://openalex.org/W3048796215","https://openalex.org/W3100376928","https://openalex.org/W3100931082","https://openalex.org/W3102747293","https://openalex.org/W3103673047","https://openalex.org/W3103778533","https://openalex.org/W3103909051","https://openalex.org/W3104043416","https://openalex.org/W3104718343","https://openalex.org/W3119444574","https://openalex.org/W3122403956","https://openalex.org/W3137155586","https://openalex.org/W3137800600","https://openalex.org/W3155301386","https://openalex.org/W3177465643","https://openalex.org/W3194461208","https://openalex.org/W3199278768","https://openalex.org/W3199575204","https://openalex.org/W3200534063","https://openalex.org/W3205153103","https://openalex.org/W3207110613","https://openalex.org/W3207259655","https://openalex.org/W4220667659","https://openalex.org/W4281783194","https://openalex.org/W4286001073","https://openalex.org/W4287991881","https://openalex.org/W4289933235","https://openalex.org/W4292838697","https://openalex.org/W4308481723","https://openalex.org/W4309591238","https://openalex.org/W4313249616","https://openalex.org/W4317434385","https://openalex.org/W4318147059","https://openalex.org/W4362671058","https://openalex.org/W6939242791"],"related_works":["https://openalex.org/W2298467781","https://openalex.org/W2044264724","https://openalex.org/W2016195929","https://openalex.org/W3099545855","https://openalex.org/W2341224074","https://openalex.org/W1970951733","https://openalex.org/W3019338311","https://openalex.org/W2043332007","https://openalex.org/W1983585938","https://openalex.org/W3033912009"],"abstract_inverted_index":{"Accurate":[0],"modeling":[1],"of":[2,22,35,78],"decoherence":[3,50],"errors":[4],"in":[5,69,115],"quantum":[6,67,113],"processors":[7],"is":[8,41,82],"crucial":[9],"for":[10],"analyzing":[11],"and":[12,32,37,65,86,118],"improving":[13],"gate":[14,119],"fidelities.":[15],"To":[16],"increase":[17],"the":[18,23,33,54,97],"accuracy":[19],"beyond":[20],"that":[21,105,110],"Lindblad":[24],"dynamical":[25],"map,":[26],"several":[27],"generalizations":[28],"have":[29],"been":[30],"proposed,":[31],"exploration":[34],"simpler":[36],"more":[38],"systematic":[39],"frameworks":[40],"still":[42],"ongoing.":[43],"In":[44,72],"this":[45,106],"paper,":[46],"we":[47],"introduce":[48],"a":[49,88],"model":[51],"based":[52],"on":[53],"Keldysh":[55,98],"formalism.":[56],"This":[57],"formalism":[58],"allows":[59],"us":[60,94],"to":[61,74,95],"include":[62],"non-periodic":[63],"drives":[64],"correlated":[66,112],"noise":[68,114],"our":[70,80],"model.":[71],"addition":[73],"its":[75],"wide":[76],"range":[77],"applications,":[79],"method":[81],"also":[83],"numerically":[84],"simple,":[85],"yields":[87],"CPTP":[89],"map.":[90],"These":[91],"features":[92],"allow":[93],"integrate":[96],"map":[99],"with":[100],"quantum-optimal-control":[101],"techniques.":[102],"We":[103],"demonstrate":[104],"strategy":[107],"generates":[108],"pulses":[109],"mitigate":[111],"qubit":[116],"state-transfer":[117],"operations.":[120]},"counts_by_year":[{"year":2024,"cited_by_count":3}],"updated_date":"2026-07-09T07:52:08.696243","created_date":"2025-10-10T00:00:00"}