{"id":"https://openalex.org/W4414806830","doi":"https://doi.org/10.1088/1751-8121/ae8983","title":"Quantum circuits for the Metropolis\u2013Hastings algorithm","display_name":"Quantum circuits for the Metropolis\u2013Hastings algorithm","publication_year":2026,"publication_date":"2026-07-14","ids":{"openalex":"https://openalex.org/W4414806830","doi":"https://doi.org/10.1088/1751-8121/ae8983"},"language":"en","primary_location":{"id":"doi:10.1088/1751-8121/ae8983","doi":"https://doi.org/10.1088/1751-8121/ae8983","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1751-8121/ae8983","pdf_url":null,"source":{"id":"https://openalex.org/S79244937","display_name":"Journal of Physics A Mathematical and Theoretical","issn_l":"1751-8113","issn":["1751-8113","1751-8121"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics A: Mathematical and Theoretical","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1088/1751-8121/ae8983","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5106512129","display_name":"Baptiste Claudon","orcid":"https://orcid.org/0009-0006-9448-940X","observed_orcids":["https://orcid.org/0009-0006-9448-940X"]},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210098902","display_name":"Laboratoire de Chimie Th\u00e9orique","ror":"https://ror.org/00tmb7y09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210098902","https://openalex.org/I4210128300"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]},{"id":"https://openalex.org/I4405262918","display_name":"Qubit Pharmaceuticals","ror":"https://ror.org/002b6dg37","country_code":"FR","type":"company","lineage":["https://openalex.org/I4405262918"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Baptiste Claudon","raw_affiliation_strings":["Advanced Research Department","Sorbonne Universit\u00e9","LCT - Laboratoire de chimie th\u00e9orique (Tour 12-13, 4\u00e8me \u00e9tage, 4 place Jussieu, Case Courrier 137, 75252 PARIS - France)","LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","Qubit Pharmaceuticals (France)"],"raw_orcid":"https://orcid.org/0009-0006-9448-940X","affiliations":[{"raw_affiliation_string":"Advanced Research Department","institution_ids":[]},{"raw_affiliation_string":"Sorbonne Universit\u00e9","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"LCT - Laboratoire de chimie th\u00e9orique (Tour 12-13, 4\u00e8me \u00e9tage, 4 place Jussieu, Case Courrier 137, 75252 PARIS - France)","institution_ids":["https://openalex.org/I4210098902"]},{"raw_affiliation_string":"LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]},{"raw_affiliation_string":"Qubit Pharmaceuticals (France)","institution_ids":["https://openalex.org/I4405262918"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5119839962","display_name":"Pablo Rodenas-Ruiz","orcid":"https://orcid.org/0009-0007-0270-1977","observed_orcids":["https://orcid.org/0009-0007-0270-1977"]},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Pablo Rodenas-Ruiz","raw_affiliation_strings":["Advanced Research Department","\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL)","EPFL - Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (CH-1015 Lausanne, Switzerland - Switzerland)"],"raw_orcid":"https://orcid.org/0009-0007-0270-1977","affiliations":[{"raw_affiliation_string":"Advanced Research Department","institution_ids":[]},{"raw_affiliation_string":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL)","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"EPFL - Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (CH-1015 Lausanne, Switzerland - Switzerland)","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036142396","display_name":"Jean\u2010Philip Piquemal","orcid":"https://orcid.org/0000-0001-6615-9426","observed_orcids":["https://orcid.org/0000-0001-6615-9426"]},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210098902","display_name":"Laboratoire de Chimie Th\u00e9orique","ror":"https://ror.org/00tmb7y09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210098902","https://openalex.org/I4210128300"]},{"id":"https://openalex.org/I4405262918","display_name":"Qubit Pharmaceuticals","ror":"https://ror.org/002b6dg37","country_code":"FR","type":"company","lineage":["https://openalex.org/I4405262918"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Philip Piquemal","raw_affiliation_strings":["Advanced Research Department","Sorbonne Universit\u00e9","LCT - Laboratoire de chimie th\u00e9orique (Tour 12-13, 4\u00e8me \u00e9tage, 4 place Jussieu, Case Courrier 137, 75252 PARIS - France)","Qubit Pharmaceuticals (France)"],"raw_orcid":"https://orcid.org/0000-0001-6615-9426","affiliations":[{"raw_affiliation_string":"Advanced Research Department","institution_ids":[]},{"raw_affiliation_string":"Sorbonne Universit\u00e9","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"LCT - Laboratoire de chimie th\u00e9orique (Tour 12-13, 4\u00e8me \u00e9tage, 4 place Jussieu, Case Courrier 137, 75252 PARIS - France)","institution_ids":["https://openalex.org/I4210098902"]},{"raw_affiliation_string":"Qubit Pharmaceuticals (France)","institution_ids":["https://openalex.org/I4405262918"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073954393","display_name":"Pierre Monmarch\u00e9","orcid":"https://orcid.org/0000-0002-3356-2646","observed_orcids":["https://orcid.org/0000-0002-3356-2646"]},"institutions":[{"id":"https://openalex.org/I185839726","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266","country_code":"FR","type":"education","lineage":["https://openalex.org/I185839726"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210098902","display_name":"Laboratoire de Chimie Th\u00e9orique","ror":"https://ror.org/00tmb7y09","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210098902","https://openalex.org/I4210128300"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Monmarch\u00e9","raw_affiliation_strings":["Institut Universitaire de France","Sorbonne Universit\u00e9","LCT - Laboratoire de chimie th\u00e9orique (Tour 12-13, 4\u00e8me \u00e9tage, 4 place Jussieu, Case Courrier 137, 75252 PARIS - France)","LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)"],"raw_orcid":"https://orcid.org/0000-0002-3356-2646","affiliations":[{"raw_affiliation_string":"Institut Universitaire de France","institution_ids":["https://openalex.org/I185839726"]},{"raw_affiliation_string":"Sorbonne Universit\u00e9","institution_ids":["https://openalex.org/I39804081"]},{"raw_affiliation_string":"LCT - Laboratoire de chimie th\u00e9orique (Tour 12-13, 4\u00e8me \u00e9tage, 4 place Jussieu, Case Courrier 137, 75252 PARIS - France)","institution_ids":["https://openalex.org/I4210098902"]},{"raw_affiliation_string":"LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions (Sorbonne-Universit\u00e9, Bo\u00eete courrier 187 - 75252 Paris Cedex 05 - France)","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3325,"currency":"USD","value_usd":3325},"apc_paid":{"value":3325,"currency":"USD","value_usd":3325},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01065683,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"59","issue":"30","first_page":"305304","last_page":"305304"},"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.0,"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/metropolis-hastings-algorithm","display_name":"Metropolis-Hastings algorithm","score":0.9089999794960022},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.9110000133514404},{"id":"https://openalex.org/keywords/quantum-advantage","display_name":"quantum advantage","score":0.5879999995231628},{"id":"https://openalex.org/keywords/reversible-markov-chains","display_name":"reversible Markov chains","score":0.8309999704360962},{"id":"https://openalex.org/keywords/qubit-overhead","display_name":"qubit overhead","score":0.6899999976158142}],"concepts":[{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.8633999824523926},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.6359000205993652},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.6262000203132629},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.6258000135421753},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5976999998092651},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.5235000252723694},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4724999964237213},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.4652999937534332},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.4584999978542328},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43860000371932983},{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.4275999963283539},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4255000054836273},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.40959998965263367},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.40790000557899475},{"id":"https://openalex.org/C62641251","wikidata":"https://www.wikidata.org/wiki/Q7269097","display_name":"Quantum sort","level":5,"score":0.38589999079704285},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.3799999952316284},{"id":"https://openalex.org/C91717678","wikidata":"https://www.wikidata.org/wiki/Q1135332","display_name":"Quantum teleportation","level":5,"score":0.37040001153945923},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.36890000104904175},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.36090001463890076},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3569999933242798},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.35679998993873596},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.3522000014781952},{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.3393000066280365},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.3012999892234802},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.28529998660087585},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.2793000042438507},{"id":"https://openalex.org/C90408235","wikidata":"https://www.wikidata.org/wiki/Q938141","display_name":"Quantum annealing","level":4,"score":0.27489998936653137},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2741999924182892},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.250900000333786}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1088/1751-8121/ae8983","doi":"https://doi.org/10.1088/1751-8121/ae8983","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1751-8121/ae8983","pdf_url":null,"source":{"id":"https://openalex.org/S79244937","display_name":"Journal of Physics A Mathematical and Theoretical","issn_l":"1751-8113","issn":["1751-8113","1751-8121"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics A: Mathematical and Theoretical","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2506.11576","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2506.11576","pdf_url":"https://arxiv.org/pdf/2506.11576","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:20.500.14299/265660","doi":null,"is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/265660","pdf_url":"https://infoscience.epfl.ch/bitstreams/b93fcfe7-76f0-4dd1-8f9c-87a462e8c219/download","source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"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":"research article"},{"id":"pmh:oai:HAL:hal-05113563v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-05113563v1/document","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"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":"Journal of Physics A: Mathematical and Theoretical, 2026, 59, pp.305304. &#x27E8;10.1088/1751-8121/ae8983&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-05113563v2","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-05113563v2/document","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"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":"Journal of Physics A: Mathematical and Theoretical, 2026, 59, pp.305304. &#x27E8;10.1088/1751-8121/ae8983&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2506.11576","doi":"https://doi.org/10.48550/arxiv.2506.11576","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2506.11576","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1088/1751-8121/ae8983","doi":"https://doi.org/10.1088/1751-8121/ae8983","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1751-8121/ae8983","pdf_url":null,"source":{"id":"https://openalex.org/S79244937","display_name":"Journal of Physics A Mathematical and Theoretical","issn_l":"1751-8113","issn":["1751-8113","1751-8121"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-1","poland-100","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics A: Mathematical and Theoretical","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1255325603","display_name":null,"funder_award_id":"100010434","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2191957979","display_name":"Etude de la pile quantique : Algorithmes, mod\u00e8les de calcul et simulation pour l\u2019informatique quantique","funder_award_id":"ANR-22-PETQ-0007","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2361257913","display_name":null,"funder_award_id":"810367","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2879720576","display_name":null,"funder_award_id":"ID 100010434","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G7683707404","display_name":null,"funder_award_id":"810367","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7731791180","display_name":null,"funder_award_id":"ID 100010434","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7831147273","display_name":"Extreme-scale Mathematically-based Computational Chemistry","funder_award_id":"810367","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2978019533","https://openalex.org/W7154738418","https://openalex.org/W4282981452","https://openalex.org/W7171485932","https://openalex.org/W7156114487","https://openalex.org/W7204506107","https://openalex.org/W1989383224","https://openalex.org/W4416794516","https://openalex.org/W4404281017","https://openalex.org/W4394796966"],"abstract_inverted_index":{"Abstract":[0],"Szegedy\u2019s":[1,121],"quantization":[2],"of":[3,20,33,51,63,70,133,141],"a":[4,9,31,61,93,126,138],"reversible":[5,57,109],"Markov":[6,54,156],"chain":[7],"provides":[8,125],"quantum":[10,43,80,95,135],"walk":[11,44,96],"whose":[12],"spectral":[13],"gap":[14,128],"is":[15,75],"quadratically":[16],"larger":[17],"than":[18],"that":[19,65],"the":[21,42,48,52,68,71,100,134,148],"classical":[22,101],"walk.":[23],"Quantum":[24],"computers":[25],"are":[26,86],"therefore":[27],"expected":[28],"to":[29,40,120,152],"provide":[30],"speedup":[32,151],"Metropolis\u2013Hastings":[34],"(MH)":[35],"simulations.":[36,159],"Existing":[37],"generic":[38],"methods":[39,59],"implement":[41],"require":[45,60,107],"coherently":[46],"computing":[47,58,110],"transition":[49],"probabilities":[50],"underlying":[53],"kernel.":[55],"However,":[56],"number":[62,140],"qubits":[64,85],"scales":[66],"with":[67,117],"complexity":[69],"computation.":[72],"This":[73],"overhead":[74],"undesirable":[76],"in":[77],"near-term":[78],"fault-tolerant":[79],"computing,":[81],"where":[82],"few":[83],"logical":[84],"available.":[87],"In":[88],"this":[89,115],"work,":[90],"we":[91,146],"present":[92],"Szegedy":[94],"construction":[97,116],"which":[98,123],"follows":[99],"proposal-acceptance":[102],"logic,":[103],"and":[104,143],"does":[105],"not":[106],"further":[108],"methods.":[111],"We":[112],"also":[113,124],"compare":[114],"an":[118],"alternative":[119],"approach":[122],"quadratic":[127,150],"amplification.":[129],"Since":[130],"each":[131],"step":[132],"walks":[136],"uses":[137],"constant":[139],"proposal":[142],"acceptance":[144],"steps,":[145],"expect":[147],"end-to-end":[149],"hold":[153],"for":[154],"MH":[155],"Chain":[157],"Monte-Carlo":[158]},"counts_by_year":[],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2025-10-04T00:00:00"}
