{"id":"https://openalex.org/W7214926769","doi":"https://doi.org/10.48550/arxiv.2609.37095","title":"A quantum double-bracket algorithm for imaginary-time evolution with exponentially shorter depth","display_name":"A quantum double-bracket algorithm for imaginary-time evolution with exponentially shorter depth","publication_year":2026,"publication_date":"2026-09-29","ids":{"openalex":"https://openalex.org/W7214926769","doi":"https://doi.org/10.48550/arxiv.2609.37095"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.37095","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37095","pdf_url":"https://arxiv.org/pdf/2609.37095","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.37095","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076374107","display_name":"Ioannis Kolotouros","orcid":"https://orcid.org/0009-0005-9808-009X","observed_orcids":["https://orcid.org/0009-0005-9808-009X"]},"institutions":[{"id":"https://openalex.org/I4210126100","display_name":"Phasecraft Ltd. (United Kingdom)","ror":"https://ror.org/042jzp908","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210126100"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Kolotouros, Ioannis","raw_affiliation_strings":["Phasecraft Ltd. , London , United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Phasecraft Ltd. , London , United Kingdom","institution_ids":["https://openalex.org/I4210126100"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071501510","display_name":"Ra\u00fal Garc\u00eda\u2212Patr\u00f3n","orcid":"https://orcid.org/0000-0003-1760-433X","observed_orcids":["https://orcid.org/0000-0003-1760-433X"]},"institutions":[{"id":"https://openalex.org/I4210126100","display_name":"Phasecraft Ltd. (United Kingdom)","ror":"https://ror.org/042jzp908","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210126100"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Garcia-Patron, Raul","raw_affiliation_strings":["Phasecraft Ltd. , London , United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Phasecraft Ltd. , London , United Kingdom","institution_ids":["https://openalex.org/I4210126100"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210126100"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":9.999999747378752e-05,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.0,"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/imaginary-time-evolution","display_name":"imaginary time evolution","score":0.9169999957084656},{"id":"https://openalex.org/keywords/ground-state-preparation","display_name":"ground state preparation","score":0.7760000228881836},{"id":"https://openalex.org/keywords/circuit-depth-reduction","display_name":"circuit depth reduction","score":0.8700000047683716},{"id":"https://openalex.org/keywords/mid-circuit-measurement","display_name":"mid-circuit measurement","score":0.9739999771118164},{"id":"https://openalex.org/keywords/pite","display_name":"pite","score":0.675000011920929},{"id":"https://openalex.org/keywords/molecular-hamiltonian","display_name":"molecular Hamiltonian","score":0.7990000247955322},{"id":"https://openalex.org/keywords/max-cut","display_name":"MaxCut","score":0.9179999828338623},{"id":"https://openalex.org/keywords/random-regular-graphs","display_name":"random regular graphs","score":0.7929999828338623},{"id":"https://openalex.org/keywords/variational-quantum-algorithms","display_name":"variational quantum algorithms","score":0.8450000286102295}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6992999911308289},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.678600013256073},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.6287000179290771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5580999851226807},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5519999861717224},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.5343999862670898},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.52920001745224},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5241000056266785},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4884999990463257},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4357999861240387},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.4088999927043915},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3903999924659729},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.3734999895095825},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.366100013256073},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.3370000123977661},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.3296000063419342},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3246000111103058},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3208000063896179},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3197000026702881},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.3131999969482422},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.30799999833106995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30730000138282776},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.30320000648498535},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.2924000024795532},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2874999940395355},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.27570000290870667},{"id":"https://openalex.org/C55350006","wikidata":"https://www.wikidata.org/wiki/Q237193","display_name":"Exponential distribution","level":2,"score":0.2614000141620636},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.25529998540878296},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.2549000084400177},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.25459998846054077},{"id":"https://openalex.org/C60782215","wikidata":"https://www.wikidata.org/wiki/Q3333679","display_name":"Probabilistic method","level":3,"score":0.25450000166893005},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.25440001487731934}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.37095","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37095","pdf_url":"https://arxiv.org/pdf/2609.37095","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":"doi:10.48550/arxiv.2609.37095","doi":"https://doi.org/10.48550/arxiv.2609.37095","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.37095","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.37095","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.37095","pdf_url":"https://arxiv.org/pdf/2609.37095","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214926769.pdf","grobid_xml":"https://content.openalex.org/works/W7214926769.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1568345435","https://openalex.org/W2121981260","https://openalex.org/W3213643642","https://openalex.org/W4324301436","https://openalex.org/W4403571772","https://openalex.org/W4403798895","https://openalex.org/W4415111488","https://openalex.org/W4415339467","https://openalex.org/W4415910183","https://openalex.org/W4416386488","https://openalex.org/W4416888974","https://openalex.org/W4417088256","https://openalex.org/W4417297037","https://openalex.org/W4417485414","https://openalex.org/W6910414955","https://openalex.org/W7108463764","https://openalex.org/W7131375393","https://openalex.org/W7133795863","https://openalex.org/W7159617124","https://openalex.org/W7161132483","https://openalex.org/W7161783459","https://openalex.org/W7165953791","https://openalex.org/W7167455416","https://openalex.org/W7172419590","https://openalex.org/W7197034700","https://openalex.org/W7203746474"],"related_works":["https://openalex.org/W4417267530","https://openalex.org/W4380853973","https://openalex.org/W4313303606","https://openalex.org/W4415339467","https://openalex.org/W4409174820","https://openalex.org/W4387933067","https://openalex.org/W7070721528","https://openalex.org/W3217637347","https://openalex.org/W4366388641","https://openalex.org/W3209933953"],"abstract_inverted_index":{"Imaginary-time":[0],"evolution":[1,60],"(ITE)":[2],"is":[3,69,92],"a":[4,14,30,46,51,119,143],"widely":[5],"used":[6],"technique":[7],"for":[8,83,135,162],"preparing":[9],"the":[10,19,74,79,102,130,154,163],"ground":[11],"state":[12],"of":[13,23,56,73,81,94,138],"target":[15],"Hamiltonian.":[16],"Building":[17],"on":[18,158],"recently":[20],"proposed":[21],"framework":[22],"Double-Bracket":[24],"quantum":[25,52],"ITE":[26],"(DB-QITE),":[27],"we":[28,85],"introduce":[29],"probabilistic":[31,132],"variant":[32],"(PDBQITE)":[33],"that":[34,54,91,101,127,142],"achieves":[35,147],"an":[36,70,87],"exponential":[37,71],"reduction":[38],"in":[39],"circuit":[40,53,156],"depth.":[41],"Our":[42,97],"algorithm":[43,133],"requires":[44],"only":[45],"single":[47],"ancilla":[48],"qubit":[49],"and":[50,61,141],"consists":[55],"one":[57,62],"controlled":[58],"real-time":[59],"mid-circuit":[63],"measurement":[64],"per":[65],"iteration.":[66],"The":[67],"trade-off":[68],"decay":[72],"total":[75],"success":[76,104],"probability":[77,105],"with":[78],"number":[80],"iterations,":[82,116],"which":[84],"derive":[86],"analytical":[88],"lower":[89],"bound":[90],"independent":[93],"system":[95],"size.":[96],"numerical":[98],"simulations":[99],"show":[100,126],"per-step":[103],"remains":[106],"close":[107],"to":[108,113],"unity,":[109],"making":[110],"it":[111],"realistic":[112],"execute":[114],"many":[115],"thus":[117],"providing":[118],"substantial":[120],"improvement":[121],"over":[122],"prior":[123],"constructions.":[124],"We":[125],"PDBQITE":[128],"outperforms":[129],"near-term":[131],"PITE":[134],"ground-state":[136],"preparation":[137],"molecular":[139],"Hamiltonians,":[140],"hybrid":[144],"QAOA-PDBQITE":[145],"scheme":[146],"higher":[148],"approximation":[149],"ratios":[150],"than":[151],"QAOA":[152],"at":[153],"same":[155],"depth":[157],"random":[159],"regular":[160],"graphs":[161],"MaxCut":[164],"problem.":[165]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-01T00:00:00"}
