{"id":"https://openalex.org/W4389116416","doi":"https://doi.org/10.22331/q-2024-04-08-1311","title":"Efficient solution of the non-unitary time-dependent Schrodinger equation on a quantum computer with complex absorbing potential","display_name":"Efficient solution of the non-unitary time-dependent Schrodinger equation on a quantum computer with complex absorbing potential","publication_year":2024,"publication_date":"2024-04-08","ids":{"openalex":"https://openalex.org/W4389116416","doi":"https://doi.org/10.22331/q-2024-04-08-1311"},"language":"en","primary_location":{"id":"doi:10.22331/q-2024-04-08-1311","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-04-08-1311","pdf_url":"https://quantum-journal.org/papers/q-2024-04-08-1311/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":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2024-04-08-1311/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5105370164","display_name":"Mariane Mangin-Brinet","orcid":"https://orcid.org/0000-0001-8876-2023"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210141222","display_name":"Laboratoire de Physique Subatomique et de Cosmologie","ror":"https://ror.org/03f0apy98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210133362","https://openalex.org/I4210141222","https://openalex.org/I4210148025","https://openalex.org/I899635006","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Mariane Mangin-Brinet","raw_affiliation_strings":["Laboratoire de Physique Subatomique et de Cosmologie, CNRS/IN2P3, 38026 Grenoble, France","LPSC - Laboratoire de Physique Subatomique et de Cosmologie (53 avenue des Martyrs - 38026 Grenoble Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique Subatomique et de Cosmologie, CNRS/IN2P3, 38026 Grenoble, France","institution_ids":["https://openalex.org/I4210141222","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LPSC - Laboratoire de Physique Subatomique et de Cosmologie (53 avenue des Martyrs - 38026 Grenoble Cedex - France)","institution_ids":["https://openalex.org/I4210141222"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100757045","display_name":"Jing Zhang","orcid":"https://orcid.org/0000-0002-1955-0008"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210133362","display_name":"Institut National de Physique Nucl\u00e9aire et de Physique des Particules","ror":"https://ror.org/03fd77x13","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210133362"]},{"id":"https://openalex.org/I4210134832","display_name":"Laboratoire de Physique des 2 Infinis Ir\u00e8ne Joliot-Curie","ror":"https://ror.org/03gc1p724","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I277688954","https://openalex.org/I4210133362","https://openalex.org/I4210134832"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jing Zhang","raw_affiliation_strings":["Universit\u00e9 Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210134832","https://openalex.org/I4210133362","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067367883","display_name":"Denis Lacroix","orcid":"https://orcid.org/0000-0002-6296-2112"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210133362","display_name":"Institut National de Physique Nucl\u00e9aire et de Physique des Particules","ror":"https://ror.org/03fd77x13","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210133362"]},{"id":"https://openalex.org/I4210134832","display_name":"Laboratoire de Physique des 2 Infinis Ir\u00e8ne Joliot-Curie","ror":"https://ror.org/03gc1p724","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I277688954","https://openalex.org/I4210133362","https://openalex.org/I4210134832"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Denis Lacroix","raw_affiliation_strings":["Universit\u00e9 Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210134832","https://openalex.org/I4210133362","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065902651","display_name":"Edgar Andres Ruiz Guzman","orcid":"https://orcid.org/0000-0002-1500-8596"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210133362","display_name":"Institut National de Physique Nucl\u00e9aire et de Physique des Particules","ror":"https://ror.org/03fd77x13","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210133362"]},{"id":"https://openalex.org/I4210134832","display_name":"Laboratoire de Physique des 2 Infinis Ir\u00e8ne Joliot-Curie","ror":"https://ror.org/03gc1p724","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I277688954","https://openalex.org/I4210133362","https://openalex.org/I4210134832"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Edgar Andres Ruiz Guzman","raw_affiliation_strings":["Universit\u00e9 Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris-Saclay, CNRS/IN2P3, IJCLab, 91405 Orsay, France","institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210134832","https://openalex.org/I4210133362","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5105370164"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210141222"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":1.5734,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.84468485,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"8","issue":null,"first_page":"1311","last_page":"1311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"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/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/T10020","display_name":"Quantum Information and Cryptography","score":0.9995999932289124,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9983000159263611,"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/imaginary-time","display_name":"Imaginary time","score":0.6163415908813477},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.5906659960746765},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.5890094041824341},{"id":"https://openalex.org/keywords/schr\u00f6dinger-equation","display_name":"Schr\u00f6dinger equation","score":0.5254418253898621},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.49380382895469666},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4856482744216919},{"id":"https://openalex.org/keywords/unitary-matrix","display_name":"Unitary matrix","score":0.4564303457736969},{"id":"https://openalex.org/keywords/wave-function","display_name":"Wave function","score":0.44381651282310486},{"id":"https://openalex.org/keywords/time-evolution","display_name":"Time evolution","score":0.4162570834159851},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4094652235507965},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3708626627922058},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3485509157180786},{"id":"https://openalex.org/keywords/open-quantum-system","display_name":"Open quantum system","score":0.2971099615097046},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.27112656831741333},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2599078118801117},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16025835275650024}],"concepts":[{"id":"https://openalex.org/C88850056","wikidata":"https://www.wikidata.org/wiki/Q3274262","display_name":"Imaginary time","level":5,"score":0.6163415908813477},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5906659960746765},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.5890094041824341},{"id":"https://openalex.org/C63036615","wikidata":"https://www.wikidata.org/wiki/Q165498","display_name":"Schr\u00f6dinger equation","level":2,"score":0.5254418253898621},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.49380382895469666},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4856482744216919},{"id":"https://openalex.org/C96214315","wikidata":"https://www.wikidata.org/wiki/Q727103","display_name":"Unitary matrix","level":3,"score":0.4564303457736969},{"id":"https://openalex.org/C113603373","wikidata":"https://www.wikidata.org/wiki/Q2362761","display_name":"Wave function","level":2,"score":0.44381651282310486},{"id":"https://openalex.org/C106553664","wikidata":"https://www.wikidata.org/wiki/Q1156744","display_name":"Time evolution","level":2,"score":0.4162570834159851},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4094652235507965},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3708626627922058},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3485509157180786},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.2971099615097046},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.27112656831741333},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2599078118801117},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16025835275650024},{"id":"https://openalex.org/C177414767","wikidata":"https://www.wikidata.org/wiki/Q587607","display_name":"Supersymmetric quantum mechanics","level":4,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2024-04-08-1311","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-04-08-1311","pdf_url":"https://quantum-journal.org/papers/q-2024-04-08-1311/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:arXiv.org:2311.15859","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2311.15859","pdf_url":"https://arxiv.org/pdf/2311.15859","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-04329343v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04329343","pdf_url":"https://hal.science/hal-04329343/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, 2024, 8, pp.1311. &#x27E8;10.22331/q-2024-04-08-1311&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:084758e32dc64b3a8a9db0a18d42246b","is_oa":false,"landing_page_url":"https://doaj.org/article/084758e32dc64b3a8a9db0a18d42246b","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 8, p 1311 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2024-04-08-1311","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-04-08-1311","pdf_url":"https://quantum-journal.org/papers/q-2024-04-08-1311/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/G7918464479","display_name":null,"funder_award_id":"France 2030 - ANR-22-PNQC-0002","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"},{"id":"https://openalex.org/F4320324252","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503"},{"id":"https://openalex.org/F4320335860","display_name":"Institut National de Physique Nucl\u00e9aire et de Physique des Particules","ror":"https://ror.org/03fd77x13"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4389116416.pdf"},"referenced_works_count":58,"referenced_works":["https://openalex.org/W390444390","https://openalex.org/W1678127067","https://openalex.org/W1783611254","https://openalex.org/W1965717698","https://openalex.org/W1982899292","https://openalex.org/W1997126380","https://openalex.org/W2023160272","https://openalex.org/W2032222091","https://openalex.org/W2041545839","https://openalex.org/W2044087434","https://openalex.org/W2044615130","https://openalex.org/W2058785737","https://openalex.org/W2061056711","https://openalex.org/W2067147329","https://openalex.org/W2084040475","https://openalex.org/W2094408117","https://openalex.org/W2104590612","https://openalex.org/W2120284715","https://openalex.org/W2165841391","https://openalex.org/W2331771151","https://openalex.org/W2803105554","https://openalex.org/W2804779112","https://openalex.org/W2903627855","https://openalex.org/W2905003072","https://openalex.org/W2949480218","https://openalex.org/W2963652075","https://openalex.org/W2972223037","https://openalex.org/W2984279929","https://openalex.org/W2990961515","https://openalex.org/W3008278038","https://openalex.org/W3012879893","https://openalex.org/W3021197422","https://openalex.org/W3037559418","https://openalex.org/W3080410339","https://openalex.org/W3085746524","https://openalex.org/W3088357939","https://openalex.org/W3100459566","https://openalex.org/W3101155683","https://openalex.org/W3101373235","https://openalex.org/W3103494093","https://openalex.org/W3104319560","https://openalex.org/W3119402126","https://openalex.org/W3119693691","https://openalex.org/W3133395443","https://openalex.org/W3135794335","https://openalex.org/W3135926897","https://openalex.org/W3172001377","https://openalex.org/W3192386363","https://openalex.org/W3208883081","https://openalex.org/W4213212652","https://openalex.org/W4290802248","https://openalex.org/W4292064942","https://openalex.org/W4309409792","https://openalex.org/W4309614088","https://openalex.org/W4322726929","https://openalex.org/W4360818597","https://openalex.org/W4386637283","https://openalex.org/W6931031300"],"related_works":["https://openalex.org/W1999313313","https://openalex.org/W2499716529","https://openalex.org/W2963658971","https://openalex.org/W2386636239","https://openalex.org/W2059686565","https://openalex.org/W1568150511","https://openalex.org/W4293832529","https://openalex.org/W2018613836","https://openalex.org/W4287868159","https://openalex.org/W1981937001"],"abstract_inverted_index":{"We":[0,63,108,137,186],"explore":[1],"the":[2,10,14,40,43,51,60,65,71,77,83,104,114,118,125,129,135,140,145,160,193,197,202,206,212,234,246],"possibility":[3],"of":[4,85,128,147,152,159,195,205,233,236],"adding":[5],"complex":[6,41],"absorbing":[7],"potential":[8],"at":[9,91],"boundaries":[11],"when":[12],"solving":[13],"one-dimensional":[15,165],"real-time":[16,78],"Schr\u00f6dinger":[17],"evolution":[18,44,73],"on":[19,32,134,164,169,174,182,192],"a":[20,23,27,33,92,98,110,149,170,175,183,189],"grid":[21],"using":[22,86,245],"quantum":[24,29,67,176],"computer":[25,177],"with":[26,97,179],"fully":[28],"algorithm":[30,68,248],"described":[31],"<mml:math":[34,209,217,221,237],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>n</mml:mi></mml:math>":[35,210],"qubit":[36,90],"register.":[37],"Due":[38,200],"to":[39,69,76,102,124,201,242],"potential,":[42,207],"mixes":[45],"real-":[46],"and":[47,50,220],"imaginary-time":[48,72,106],"propagation":[49],"wave":[52,166],"function":[53],"can":[54],"potentially":[55],"be":[56],"continuously":[57,130],"absorbed":[58,131],"during":[59],"time":[61,227],"propagation.":[62,79],"use":[64],"dilation":[66,115,198,213],"treat":[70],"in":[74,154],"parallel":[75],"This":[80],"method":[81,116,161],"has":[82],"advantage":[84,146],"only":[87,215],"one":[88],"reservoir":[89],"time,":[93],"that":[94,139],"is":[95,121],"measured":[96],"certain":[99],"success":[100,119,153],"probability":[101,120,151],"implement":[103,243],"desired":[105],"evolution.":[107],"propose":[109],"specific":[111],"prescription":[112,142],"for":[113,208,225,249],"where":[117],"directly":[122],"linked":[123],"physical":[126,156],"norm":[127],"state":[132],"evolving":[133,168],"mesh.":[136,171],"expect":[138],"proposed":[141],"will":[143],"have":[144],"keeping":[148],"high":[150],"most":[155],"situations.":[157],"Applications":[158],"are":[162],"made":[163],"functions":[167],"Results":[172],"obtained":[173,181],"identify":[178],"those":[180],"classical":[184],"computer.":[185],"finally":[187],"give":[188],"detailed":[190],"discussion":[191],"complexity":[194],"implementing":[196],"matrix.":[199],"local":[203],"nature":[204],"qubits,":[211],"matrix":[214],"requires":[216],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msup><mml:mn>2</mml:mn><mml:mi>n</mml:mi></mml:msup></mml:math>":[218,222],"CNOT":[219],"unitary":[223,251],"rotation":[224],"each":[226],"step,":[228],"whereas":[229],"it":[230,244],"would":[231],"require":[232],"order":[235],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msup><mml:mn>4</mml:mn><mml:mrow":[238],"class=\"MJX-TeXAtom-ORD\"><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>":[239],"C-NOT":[240],"gates":[241],"best-known":[247],"general":[250],"matrices.":[252]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2023-11-29T00:00:00"}