{"id":"https://openalex.org/W4410094928","doi":"https://doi.org/10.22331/q-2025-05-05-1732","title":"Accurately Simulating the Time Evolution of an Ising Model with Echo Verified Clifford Data Regression on a Superconducting Quantum Computer","display_name":"Accurately Simulating the Time Evolution of an Ising Model with Echo Verified Clifford Data Regression on a Superconducting Quantum Computer","publication_year":2025,"publication_date":"2025-05-05","ids":{"openalex":"https://openalex.org/W4410094928","doi":"https://doi.org/10.22331/q-2025-05-05-1732"},"language":"en","primary_location":{"id":"doi:10.22331/q-2025-05-05-1732","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-05-05-1732","pdf_url":"https://quantum-journal.org/papers/q-2025-05-05-1732/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-2025-05-05-1732/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076274208","display_name":"Tim Weaving","orcid":"https://orcid.org/0000-0003-3362-7275"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Tim Weaving","raw_affiliation_strings":["Centre for Computational Science, Department of Chemistry, University College London, WC1H 0AJ, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Computational Science, Department of Chemistry, University College London, WC1H 0AJ, United Kingdom","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087108072","display_name":"Alexis Ralli","orcid":"https://orcid.org/0000-0001-8953-1235"},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Alexis Ralli","raw_affiliation_strings":["Centre for Computational Science, Department of Chemistry, University College London, WC1H 0AJ, United Kingdom","Department of Physics and Astronomy, Tufts University, Medford, MA 02155, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Computational Science, Department of Chemistry, University College London, WC1H 0AJ, United Kingdom","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Department of Physics and Astronomy, Tufts University, Medford, MA 02155, USA","institution_ids":["https://openalex.org/I121934306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051926511","display_name":"Peter J. Love","orcid":"https://orcid.org/0000-0002-8344-0532"},"institutions":[{"id":"https://openalex.org/I121934306","display_name":"Tufts University","ror":"https://ror.org/05wvpxv85","country_code":"US","type":"education","lineage":["https://openalex.org/I121934306"]},{"id":"https://openalex.org/I200870766","display_name":"Brookhaven National Laboratory","ror":"https://ror.org/02ex6cf31","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I200870766","https://openalex.org/I39565521","https://openalex.org/I4210142672"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter J. Love","raw_affiliation_strings":["Computational Science Initiative, Brookhaven National Laboratory, Upton, NY 11973, USA","Department of Physics and Astronomy, Tufts University, Medford, MA 02155, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computational Science Initiative, Brookhaven National Laboratory, Upton, NY 11973, USA","institution_ids":["https://openalex.org/I200870766"]},{"raw_affiliation_string":"Department of Physics and Astronomy, Tufts University, Medford, MA 02155, USA","institution_ids":["https://openalex.org/I121934306"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075643472","display_name":"Sauro Succi","orcid":"https://orcid.org/0000-0002-3070-3079"},"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"]},{"id":"https://openalex.org/I30771326","display_name":"Italian Institute of Technology","ror":"https://ror.org/042t93s57","country_code":"IT","type":"facility","lineage":["https://openalex.org/I30771326"]},{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB","IT","US"],"is_corresponding":false,"raw_author_name":"Sauro Succi","raw_affiliation_strings":["Center for Life Nano-Neuro Science @ La Sapienza, Italian Institute of Technology, 00161 Roma, Italy","Department of Mechanical Engineering, University College London, WC1E 7JE, United Kingdom","Department of Physics, Harvard University, Cambridge, MA 02138, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Life Nano-Neuro Science @ La Sapienza, Italian Institute of Technology, 00161 Roma, Italy","institution_ids":["https://openalex.org/I30771326"]},{"raw_affiliation_string":"Department of Mechanical Engineering, University College London, WC1E 7JE, United Kingdom","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Department of Physics, Harvard University, Cambridge, MA 02138, USA","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110166091","display_name":"Peter V. Coveney","orcid":null},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["GB","NL"],"is_corresponding":false,"raw_author_name":"Peter V. Coveney","raw_affiliation_strings":["Advanced Research Computing Centre, University College London, WC1H 0AJ, United Kingdom","Centre for Computational Science, Department of Chemistry, University College London, WC1H 0AJ, United Kingdom","Informatics Institute, University of Amsterdam, Amsterdam, 1098 XH, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Advanced Research Computing Centre, University College London, WC1H 0AJ, United Kingdom","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Centre for Computational Science, Department of Chemistry, University College London, WC1H 0AJ, United Kingdom","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Informatics Institute, University of Amsterdam, Amsterdam, 1098 XH, Netherlands","institution_ids":["https://openalex.org/I887064364"]}]}],"institutions":[],"countries_distinct_count":4,"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":1.6807,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.85893817,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"9","issue":null,"first_page":"1732","last_page":"1732"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9993000030517578,"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":0.9902999997138977,"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/echo","display_name":"Echo (communications protocol)","score":0.7726548314094543},{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.6820287704467773},{"id":"https://openalex.org/keywords/superconductivity","display_name":"Superconductivity","score":0.6752645969390869},{"id":"https://openalex.org/keywords/regression","display_name":"Regression","score":0.5160476565361023},{"id":"https://openalex.org/keywords/regression-analysis","display_name":"Regression analysis","score":0.47128787636756897},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4698295295238495},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.4480654001235962},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.41124895215034485},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30630674958229065},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.28433552384376526},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26696860790252686}],"concepts":[{"id":"https://openalex.org/C2779426996","wikidata":"https://www.wikidata.org/wiki/Q18389128","display_name":"Echo (communications protocol)","level":2,"score":0.7726548314094543},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.6820287704467773},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.6752645969390869},{"id":"https://openalex.org/C83546350","wikidata":"https://www.wikidata.org/wiki/Q1139051","display_name":"Regression","level":2,"score":0.5160476565361023},{"id":"https://openalex.org/C152877465","wikidata":"https://www.wikidata.org/wiki/Q208042","display_name":"Regression analysis","level":2,"score":0.47128787636756897},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4698295295238495},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.4480654001235962},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41124895215034485},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30630674958229065},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.28433552384376526},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26696860790252686},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2025-05-05-1732","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-05-05-1732","pdf_url":"https://quantum-journal.org/papers/q-2025-05-05-1732/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:dare.uva.nl:openaire_cris_publications/e81987b2-8688-4a0e-9c0f-e44f68e9af9e","is_oa":true,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/accurately-simulating-the-time-evolution-of-an-ising-model-with-echo-verified-clifford-data-regression-on-a-superconducting-quantum-computer(e81987b2-8688-4a0e-9c0f-e44f68e9af9e).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Weaving, T, Ralli, A, Love, P J, Succi, S & Coveney, P V 2025, 'Accurately Simulating the Time Evolution of an Ising Model with Echo Verified Clifford Data Regression on a Superconducting Quantum Computer', Quantum, vol. 9, 1732. https://doi.org/10.22331/q-2025-05-05-1732","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:dare.uva.nl:openaire/e81987b2-8688-4a0e-9c0f-e44f68e9af9e","is_oa":true,"landing_page_url":"https://hdl.handle.net/11245.1/e81987b2-8688-4a0e-9c0f-e44f68e9af9e","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Weaving, T, Ralli, A, Love, P J, Succi, S & Coveney, P V 2025, 'Accurately Simulating the Time Evolution of an Ising Model with Echo Verified Clifford Data Regression on a Superconducting Quantum Computer', Quantum, vol. 9, 1732. https://doi.org/10.22331/q-2025-05-05-1732","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:doaj.org/article:32e29723b9d3450e8815adfafbe49d3d","is_oa":true,"landing_page_url":"https://doaj.org/article/32e29723b9d3450e8815adfafbe49d3d","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 1732 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2025-05-05-1732","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-05-05-1732","pdf_url":"https://quantum-journal.org/papers/q-2025-05-05-1732/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/G107522343","display_name":null,"funder_award_id":"1818914","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2324702809","display_name":"EPSRC Centre for Doctoral Training in Delivering Quantum Technologies","funder_award_id":"EP/S021582/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5252582330","display_name":null,"funder_award_id":"800925","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5356239126","display_name":null,"funder_award_id":"CN00000013","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"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"},{"id":"https://openalex.org/G8866678430","display_name":"Software Environment for Actionable &amp; VVUQ-evaluated Exascale Applications (SEAVEA)","funder_award_id":"EP/W007711/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320313559","display_name":"CERN","ror":"https://ror.org/01ggx4157"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320325847","display_name":"Istituto Italiano di Tecnologia","ror":"https://ror.org/042t93s57"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410094928.pdf","grobid_xml":"https://content.openalex.org/works/W4410094928.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W2093624148","https://openalex.org/W2181523240","https://openalex.org/W2268604949","https://openalex.org/W2467077495","https://openalex.org/W2558921197","https://openalex.org/W2562526363","https://openalex.org/W2778498694","https://openalex.org/W2884595884","https://openalex.org/W2887185791","https://openalex.org/W2923370183","https://openalex.org/W2936453799","https://openalex.org/W2995050112","https://openalex.org/W3010941104","https://openalex.org/W3028056599","https://openalex.org/W3037303154","https://openalex.org/W3092363371","https://openalex.org/W3098581063","https://openalex.org/W3100494702","https://openalex.org/W3103461205","https://openalex.org/W3103872322","https://openalex.org/W3108564514","https://openalex.org/W3123352559","https://openalex.org/W3138564161","https://openalex.org/W3152899507","https://openalex.org/W3158035957","https://openalex.org/W3210539808","https://openalex.org/W3212592100","https://openalex.org/W3213056870","https://openalex.org/W3214850722","https://openalex.org/W3216531464","https://openalex.org/W3216902878","https://openalex.org/W4387701395","https://openalex.org/W4396891478","https://openalex.org/W4400294954","https://openalex.org/W4402483206","https://openalex.org/W4407300325","https://openalex.org/W4407421602","https://openalex.org/W6602544630","https://openalex.org/W6603728020","https://openalex.org/W6931031300"],"related_works":["https://openalex.org/W31220157","https://openalex.org/W2312753042","https://openalex.org/W4289356671","https://openalex.org/W2389155397","https://openalex.org/W2165884543","https://openalex.org/W3186837933","https://openalex.org/W2368989808","https://openalex.org/W1969346022","https://openalex.org/W2034959125","https://openalex.org/W2355687852"],"abstract_inverted_index":{"We":[0,43,71,87],"present":[1,127],"an":[2,56,152],"error":[3,33,107],"mitigation":[4],"strategy":[5],"composed":[6],"of":[7,18,26,40,47,64,76,96,112,118,131,151,158],"Echo":[8,132],"Verification":[9],"(EV)":[10],"and":[11,54,68,109,143,163],"Clifford":[12,134],"Data":[13,135],"Regression":[14,136],"(CDR),":[15],"the":[16,24,27,37,45,48,51,59,65,74,85,106,110,116,148],"combination":[17],"which":[19,100],"allows":[20],"one":[21],"to":[22,31,79,160,167],"learn":[23],"effect":[25],"quantum":[28,141],"noise":[29,93,119],"channel":[30,53,94],"extract":[32],"mitigated":[34],"estimates":[35],"for":[36,58,84,147],"expectation":[38,113],"value":[39],"Pauli":[41,98],"observables.":[42],"analyse":[44],"behaviour":[46],"method":[49],"under":[50],"depolarizing":[52],"derive":[55],"estimator":[57],"depolarization":[60],"rate":[61],"in":[62,120],"terms":[63],"ancilla":[66],"purity":[67],"postselection":[69],"probability.":[70],"also":[72],"highlight":[73],"sensitivity":[75],"this":[77],"probability":[78],"noise,":[80],"a":[81,90,102,128,139],"potential":[82],"bottleneck":[83],"technique.":[86],"subsequently":[88],"consider":[89],"more":[91],"general":[92],"consisting":[95,157],"arbitrary":[97],"errors,":[99],"reveals":[101],"linear":[103],"relationship":[104],"between":[105],"rates":[108],"estimation":[111],"values,":[114],"suggesting":[115],"learnability":[117],"EV":[121],"by":[122],"regression":[123],"techniques.":[124],"Finally,":[125],"we":[126],"practical":[129],"demonstration":[130],"Verified":[133],"(EVCDR)":[137],"on":[138],"superconducting":[140],"computer":[142],"observe":[144],"accurate":[145],"results":[146],"time":[149],"evolution":[150],"Ising":[153],"model":[154],"over":[155],"spin-lattices":[156],"up":[159,166],"35":[161],"sites":[162],"circuit":[164],"depths":[165],"173":[168],"entangling":[169],"layers.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-21T07:57:09.225873","created_date":"2025-10-10T00:00:00"}
