{"id":"https://openalex.org/W4396767167","doi":"https://doi.org/10.1103/physrevb.109.205125","title":"Boundaries and defects in the cubic code","display_name":"Boundaries and defects in the cubic code","publication_year":2024,"publication_date":"2024-05-09","ids":{"openalex":"https://openalex.org/W4396767167","doi":"https://doi.org/10.1103/physrevb.109.205125"},"language":"en","primary_location":{"id":"doi:10.1103/physrevb.109.205125","doi":"https://doi.org/10.1103/physrevb.109.205125","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.109.205125","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2308.00138","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5092586347","display_name":"Cory T. Aitchison","orcid":"https://orcid.org/0009-0008-0368-0095","observed_orcids":["https://orcid.org/0009-0008-0368-0095"]},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Cory T. Aitchison","raw_affiliation_strings":["Centre for Engineered Quantum Systems","Centre for Engineered Quantum Systems, School of Physics, University of Sydney, Sydney, NSW 2006, Australia"],"raw_orcid":"https://orcid.org/0009-0008-0368-0095","affiliations":[{"raw_affiliation_string":"Centre for Engineered Quantum Systems","institution_ids":[]},{"raw_affiliation_string":"Centre for Engineered Quantum Systems, School of Physics, University of Sydney, Sydney, NSW 2006, Australia","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036199217","display_name":"Daniel Bulmash","orcid":"https://orcid.org/0000-0001-8978-4531","observed_orcids":["https://orcid.org/0000-0001-8978-4531"]},"institutions":[{"id":"https://openalex.org/I188538660","display_name":"University of Colorado Boulder","ror":"https://ror.org/02ttsq026","country_code":"US","type":"education","lineage":["https://openalex.org/I188538660"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Bulmash","raw_affiliation_strings":["Department of Physics and Center for Theory of Quantum Matter","Department of Physics and Center for Theory of Quantum Matter, University of Colorado Boulder, Boulder, Colorado 80309, USA"],"raw_orcid":"https://orcid.org/0000-0001-8978-4531","affiliations":[{"raw_affiliation_string":"Department of Physics and Center for Theory of Quantum Matter","institution_ids":[]},{"raw_affiliation_string":"Department of Physics and Center for Theory of Quantum Matter, University of Colorado Boulder, Boulder, Colorado 80309, USA","institution_ids":["https://openalex.org/I188538660"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059793903","display_name":"Arpit Dua","orcid":"https://orcid.org/0000-0001-6348-4135","observed_orcids":["https://orcid.org/0000-0001-6348-4135"]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arpit Dua","raw_affiliation_strings":["Department of Physics","Institute for Quantum Information and Matter","Department of Physics, California Institute of Technology, Pasadena, California 91125, USA","Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA"],"raw_orcid":"https://orcid.org/0000-0001-6348-4135","affiliations":[{"raw_affiliation_string":"Department of Physics","institution_ids":[]},{"raw_affiliation_string":"Institute for Quantum Information and Matter","institution_ids":[]},{"raw_affiliation_string":"Department of Physics, California Institute of Technology, Pasadena, California 91125, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Institute for Quantum Information and Matter, California Institute of Technology, Pasadena, California 91125, USA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090447046","display_name":"Andrew C. Doherty","orcid":"https://orcid.org/0000-0002-8069-7754","observed_orcids":["https://orcid.org/0000-0002-8069-7754"]},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Andrew C. Doherty","raw_affiliation_strings":["Centre for Engineered Quantum Systems","Centre for Engineered Quantum Systems, School of Physics, University of Sydney, Sydney, NSW 2006, Australia"],"raw_orcid":"https://orcid.org/0000-0002-8069-7754","affiliations":[{"raw_affiliation_string":"Centre for Engineered Quantum Systems","institution_ids":[]},{"raw_affiliation_string":"Centre for Engineered Quantum Systems, School of Physics, University of Sydney, Sydney, NSW 2006, Australia","institution_ids":["https://openalex.org/I129604602"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060768978","display_name":"Dominic J. Williamson","orcid":"https://orcid.org/0000-0002-8029-6408","observed_orcids":["https://orcid.org/0000-0002-8029-6408"]},"institutions":[{"id":"https://openalex.org/I129604602","display_name":"The University of Sydney","ror":"https://ror.org/0384j8v12","country_code":"AU","type":"education","lineage":["https://openalex.org/I129604602"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Dominic J. Williamson","raw_affiliation_strings":["Centre for Engineered Quantum Systems","Centre for Engineered Quantum Systems, School of Physics, University of Sydney, Sydney, NSW 2006, Australia"],"raw_orcid":"https://orcid.org/0000-0002-8029-6408","affiliations":[{"raw_affiliation_string":"Centre for Engineered Quantum Systems","institution_ids":[]},{"raw_affiliation_string":"Centre for Engineered Quantum Systems, School of Physics, University of Sydney, Sydney, NSW 2006, Australia","institution_ids":["https://openalex.org/I129604602"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5092586347"],"corresponding_institution_ids":["https://openalex.org/I129604602"],"apc_list":null,"apc_paid":null,"fwci":1.3527,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.81473289,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":98},"biblio":{"volume":"109","issue":"20","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":0.459199994802475,"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":0.459199994802475,"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":0.44510000944137573,"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/T11682","display_name":"Advanced Condensed Matter Physics","score":0.019300000742077827,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"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/open-boundary-conditions","display_name":"open boundary conditions","score":0.9070000052452087},{"id":"https://openalex.org/keywords/crystal-defects","display_name":"crystal defects","score":0.8299999833106995},{"id":"https://openalex.org/keywords/topological-excitations","display_name":"topological excitations","score":0.7829999923706055},{"id":"https://openalex.org/keywords/code-distance","display_name":"code distance","score":0.6660000085830688},{"id":"https://openalex.org/keywords/logical-qubits","display_name":"logical qubits","score":0.8190000057220459},{"id":"https://openalex.org/keywords/topological-quantum-error-correction","display_name":"topological quantum error correction","score":0.6200000047683716}],"concepts":[{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4688250720500946},{"id":"https://openalex.org/C24444364","wikidata":"https://www.wikidata.org/wiki/Q473227","display_name":"Cubic crystal system","level":2,"score":0.45820096135139465},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.36036351323127747},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3543665409088135},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2720305919647217},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.26123467087745667},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.11636751890182495},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/physrevb.109.205125","doi":"https://doi.org/10.1103/physrevb.109.205125","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevb.109.205125","pdf_url":null,"source":{"id":"https://openalex.org/S4210237713","display_name":"Physical review. B./Physical review. B","issn_l":"2469-9950","issn":["2469-9950","2469-9969","2469-9977"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-2","norway-2","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review B","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2308.00138","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2308.00138","pdf_url":"https://arxiv.org/pdf/2308.00138","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.2308.00138","doi":"https://doi.org/10.48550/arxiv.2308.00138","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2308.00138","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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2308.00138","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2308.00138","pdf_url":"https://arxiv.org/pdf/2308.00138","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":[{"id":"https://openalex.org/G2403330605","display_name":null,"funder_award_id":"PHY-1733907","funder_id":"https://openalex.org/F4320334224","funder_display_name":"Institute for Quantum Information and Matter, California Institute of Technology"},{"id":"https://openalex.org/G3631527538","display_name":"ARC Centre of Excellence for Engineered Quantum Systems","funder_award_id":"CE170100009","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G507237395","display_name":"The Institute for Quantum Information and Matter: Advancing the Entanglement Frontier","funder_award_id":"1733907","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5745281885","display_name":null,"funder_award_id":"651438","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G8371648086","display_name":"Topological phases of matter for quantum computation","funder_award_id":"DE220100625","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G8420134524","display_name":null,"funder_award_id":"651440","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320334224","display_name":"Institute for Quantum Information and Matter, California Institute of Technology","ror":null},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4396767167.pdf","grobid_xml":"https://content.openalex.org/works/W4396767167.grobid-xml"},"referenced_works_count":98,"referenced_works":["https://openalex.org/W1519988022","https://openalex.org/W1556729165","https://openalex.org/W1639600422","https://openalex.org/W1710401991","https://openalex.org/W1740640945","https://openalex.org/W1764154244","https://openalex.org/W1772750520","https://openalex.org/W1839785972","https://openalex.org/W1923824182","https://openalex.org/W1979591111","https://openalex.org/W1980496924","https://openalex.org/W1981304125","https://openalex.org/W1985003136","https://openalex.org/W1992223563","https://openalex.org/W1993289500","https://openalex.org/W1998186366","https://openalex.org/W1999706070","https://openalex.org/W1999770545","https://openalex.org/W2002248243","https://openalex.org/W2011977969","https://openalex.org/W2013345719","https://openalex.org/W2013754283","https://openalex.org/W2016593190","https://openalex.org/W2024147048","https://openalex.org/W2029023163","https://openalex.org/W2034420678","https://openalex.org/W2035286449","https://openalex.org/W2038255126","https://openalex.org/W2042072697","https://openalex.org/W2042474962","https://openalex.org/W2050698597","https://openalex.org/W2054741213","https://openalex.org/W2061320730","https://openalex.org/W2062716497","https://openalex.org/W2062794279","https://openalex.org/W2071522897","https://openalex.org/W2088636071","https://openalex.org/W2090466200","https://openalex.org/W2091331782","https://openalex.org/W2092838737","https://openalex.org/W2092897641","https://openalex.org/W2095025840","https://openalex.org/W2097361916","https://openalex.org/W2112057469","https://openalex.org/W2126911753","https://openalex.org/W2131970804","https://openalex.org/W2135273380","https://openalex.org/W2153553676","https://openalex.org/W2157276712","https://openalex.org/W2163846795","https://openalex.org/W2167927798","https://openalex.org/W2169919279","https://openalex.org/W2177885023","https://openalex.org/W2263744690","https://openalex.org/W2296895255","https://openalex.org/W2298547144","https://openalex.org/W2521663284","https://openalex.org/W2534191796","https://openalex.org/W2781070109","https://openalex.org/W2792098866","https://openalex.org/W2801808441","https://openalex.org/W2807081011","https://openalex.org/W2807786146","https://openalex.org/W2892972447","https://openalex.org/W2898304705","https://openalex.org/W2902563788","https://openalex.org/W2903211734","https://openalex.org/W2903563595","https://openalex.org/W2904185103","https://openalex.org/W2913419161","https://openalex.org/W2914995718","https://openalex.org/W2924428627","https://openalex.org/W2933625906","https://openalex.org/W2945389407","https://openalex.org/W2946793696","https://openalex.org/W2947574411","https://openalex.org/W2956297211","https://openalex.org/W2963760674","https://openalex.org/W2969396339","https://openalex.org/W2974009797","https://openalex.org/W2975644747","https://openalex.org/W2990451371","https://openalex.org/W3005946010","https://openalex.org/W3022718148","https://openalex.org/W3043234974","https://openalex.org/W3081727894","https://openalex.org/W3098077061","https://openalex.org/W3100008668","https://openalex.org/W3103147273","https://openalex.org/W3112443641","https://openalex.org/W3158511706","https://openalex.org/W3170857746","https://openalex.org/W4240733695","https://openalex.org/W4287814631","https://openalex.org/W4315645638","https://openalex.org/W4364364852","https://openalex.org/W4390616989","https://openalex.org/W6977969116"],"related_works":["https://openalex.org/W3133695251","https://openalex.org/W2807081011","https://openalex.org/W2157276712","https://openalex.org/W7165393364","https://openalex.org/W3191295059","https://openalex.org/W4389599001","https://openalex.org/W3081727894","https://openalex.org/W2922656737","https://openalex.org/W4226134739","https://openalex.org/W3157725972"],"abstract_inverted_index":{"Haah's":[0],"cubic":[1,32,86],"code":[2,24,33,49,87,154],"is":[3],"the":[4,12,19,31,48,54,59,65,85,100,106,124,143,153,159],"prototypical":[5],"type-II":[6],"fracton":[7],"topological":[8,103],"order.":[9],"It":[10],"instantiates":[11],"no":[13],"stringlike":[14,120],"operator":[15],"property":[16],"that":[17,74,114],"underlies":[18],"favorable":[20],"scaling":[21],"of":[22,61,102,108,126,145],"its":[23],"distance":[25,50,155],"and":[26,42,94,111,122,136,152,172],"logical":[27,62,146],"energy":[28],"barrier.":[29],"Previously,":[30],"was":[34],"only":[35],"explored":[36],"in":[37,105],"translation-invariant":[38],"systems":[39,89],"on":[40],"infinite":[41],"periodic":[43],"lattices.":[44],"In":[45],"these":[46,109,134],"settings,":[47],"scales":[51,148,156],"superlinearly":[52],"with":[53,90,158,168],"linear":[55,80,160],"system":[56,161],"size,":[57],"while":[58],"number":[60,144],"qubits":[63,147],"within":[64,78],"degenerate":[66],"ground":[67],"space":[68],"exhibits":[69],"a":[70,79,165,173],"complicated":[71],"functional":[72],"dependence":[73],"undergoes":[75],"large":[76],"fluctuations":[77],"envelope.":[81],"Here,":[82],"we":[83,132],"extend":[84],"to":[88,138],"open":[91,169],"boundary":[92,170],"conditions":[93,171],"crystal":[95],"lattice":[96,177],"defects.":[97,178],"We":[98],"characterize":[99],"condensation":[101],"excitations":[104],"vicinity":[107],"boundaries":[110,135],"defects,":[112],"finding":[113],"their":[115],"inclusion":[116],"can":[117],"introduce":[118],"local":[119],"operators":[121],"enhance":[123],"mobility":[125],"otherwise":[127],"fractonic":[128],"excitations.":[129],"Despite":[130],"this,":[131],"use":[133],"defects":[137],"define":[139],"new":[140],"encodings":[141],"where":[142],"linearly":[149],"without":[150],"fluctuations,":[151],"superlinearly,":[157],"size.":[162],"These":[163],"include":[164],"subsystem":[166],"encoding":[167,175],"subspace":[174],"using":[176]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2024-05-10T00:00:00"}
