{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T16:25:36Z","timestamp":1772555136803,"version":"3.50.1"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2020,6,1]],"date-time":"2020-06-01T00:00:00Z","timestamp":1590969600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,6,1]],"date-time":"2020-06-01T00:00:00Z","timestamp":1590969600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Mach. Intell."],"published-print":{"date-parts":[[2020,6]]},"DOI":"10.1007\/s42484-020-00018-6","type":"journal-article","created":{"date-parts":[[2020,6,18]],"date-time":"2020-06-18T19:02:41Z","timestamp":1592506961000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":28,"title":["On quantum ensembles of quantum classifiers"],"prefix":"10.1007","volume":"2","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3383-2287","authenticated-orcid":false,"given":"Amira","family":"Abbas","sequence":"first","affiliation":[]},{"given":"Maria","family":"Schuld","sequence":"additional","affiliation":[]},{"given":"Francesco","family":"Petruccione","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,6,18]]},"reference":[{"issue":"3731","key":"18_CR1","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1126\/science.153.3731.34","volume":"153","author":"R Bellman","year":"1966","unstructured":"Bellman R (1966) Dynamic programming. Science 153(3731):34\u201337","journal-title":"Science"},{"issue":"3","key":"18_CR2","doi-asserted-by":"publisher","first-page":"034007","DOI":"10.1088\/2058-9565\/aabd98","volume":"3","author":"M Benedetti","year":"2018","unstructured":"Benedetti M, Realpe-G\u00f3mez J, Perdomo-Ortiz A (2018) Quantum-assisted Helmholtz machines: a quantum\u2013classical deep learning framework for industrial datasets in near-term devices. Quant Sci Technol 3(3):034007","journal-title":"Quant Sci Technol"},{"key":"18_CR3","doi-asserted-by":"crossref","unstructured":"Beyer K, Goldstein J, Ramkrishnan R, Shaft U (1999) When is \u201cnearest neighbor\u201d meaningful?. In: International conference on database theory. Springer, pp 217\u2013235","DOI":"10.1007\/3-540-49257-7_15"},{"issue":"1","key":"18_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1214\/aop\/1176995887","volume":"5","author":"RN Bhattacharya","year":"1977","unstructured":"Bhattacharya RN (1977) Refinements of the multidimensional central limit theorem and applications. Ann Probab 5(1):1\u201327","journal-title":"Ann Probab"},{"key":"18_CR5","doi-asserted-by":"crossref","unstructured":"Casella G, Robert CP, Wells MT, et al. (2004) Generalized accept-reject sampling schemes. In: A Festschrift for Herman Rubin. Institute of Mathematical Statistics, pp 342\u2013347","DOI":"10.1214\/lnms\/1196285403"},{"issue":"7\u20139","key":"18_CR6","doi-asserted-by":"publisher","first-page":"686","DOI":"10.1016\/j.neucom.2005.12.014","volume":"69","author":"A Chandra","year":"2006","unstructured":"Chandra A, Yao X (2006) Evolving hybrid ensembles of learning machines for better generalisation. Neurocomputing 69(7\u20139):686\u2013700","journal-title":"Neurocomputing"},{"key":"18_CR7","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1098\/rspa.1992.0167","volume":"439","author":"D Deutsch","year":"1992","unstructured":"Deutsch D, Jozsa R (1992) Rapid solution of problems by quantum computation. Proc R Soc London Series A 439:553\u2013558","journal-title":"Proc R Soc London Series A"},{"key":"18_CR8","unstructured":"Farhi E, Goldstone J, Gutmann S (2014) A quantum approximate optimization algorithm. arXiv:1411.4028"},{"issue":"1","key":"18_CR9","doi-asserted-by":"publisher","first-page":"170","DOI":"10.1214\/aos\/1176347009","volume":"17","author":"KO Friedrich","year":"1989","unstructured":"Friedrich KO, et al. (1989) A Berry-Esseen bound for functions of independent random variables. Ann Stat 17(1):170\u2013183","journal-title":"Ann Stat"},{"issue":"6918","key":"18_CR10","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1038\/nature01336","volume":"421","author":"S Gulde","year":"2003","unstructured":"Gulde S, Riebe M, Lancaster GPT, Becher C, Eschner J, H\u00e4ffner H, Schmidt-Kaler F, Chuang IL, Blatt R (2003) Implementation of the Deutsch\u2013Jozsa algorithm on an ion-trap quantum computer. Nature 421(6918):48","journal-title":"Nature"},{"key":"18_CR11","doi-asserted-by":"publisher","first-page":"993","DOI":"10.1109\/34.58871","volume":"10","author":"LK Hansen","year":"1990","unstructured":"Hansen LK, Salamon P (1990) Neural network ensembles. IEEE Trans Pattern Anal Mach Intell 10:993\u20131001","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"7747","key":"18_CR12","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1038\/s41586-019-0980-2","volume":"567","author":"V Havl\u00ed\u010dek","year":"2019","unstructured":"Havl\u00ed\u010dek V, C\u00f3rcoles AD, Temme K, Harrow AW, Kandala A, Chow JM, Gambetta JM (2019) Supervised learning with quantum-enhanced feature spaces. Nature 567(7747):209","journal-title":"Nature"},{"key":"18_CR13","unstructured":"Hoeting JA, Madigan D, Raftery AE, Volinsky CT (1999) Bayesian model averaging: a tutorial. Stat Sci, 382\u2013401"},{"key":"18_CR14","unstructured":"Klartag B (2010) High-dimensional distributions with convexity properties. Preprint, http:\/\/www.math.tau.ac.il\/klartagb\/papers\/euro.pdf"},{"key":"18_CR15","doi-asserted-by":"crossref","unstructured":"K\u00fcbler JM, Muandet K, Sch\u00f6lkopf B (2019) Quantum mean embedding of probability distributions. arXiv:1905.13526","DOI":"10.1103\/PhysRevResearch.1.033159"},{"issue":"428","key":"18_CR16","doi-asserted-by":"publisher","first-page":"1535","DOI":"10.1080\/01621459.1994.10476894","volume":"89","author":"D Madigan","year":"1994","unstructured":"Madigan D, Raftery AE (1994) Model selection and accounting for model uncertainty in graphical models using Occam\u2019s window. J Am Stat Assoc 89(428):1535\u20131546","journal-title":"J Am Stat Assoc"},{"key":"18_CR17","doi-asserted-by":"crossref","unstructured":"Nielsen MA, Chuang I (2002) Quantum computation and quantum information","DOI":"10.1119\/1.1463744"},{"key":"18_CR18","doi-asserted-by":"publisher","first-page":"4213","DOI":"10.1038\/ncomms5213","volume":"5","author":"A Peruzzo","year":"2014","unstructured":"Peruzzo A, McClean J, Shadbolt P, Yung M-H, Zhou X-Q, Love PJ, Aspuru-Guzik A, O\u2019brien JL (2014) A variational eigenvalue solver on a photonic quantum processor. Nat Commun 5:4213","journal-title":"Nat Commun"},{"issue":"4","key":"18_CR19","doi-asserted-by":"publisher","first-page":"045001","DOI":"10.1088\/2058-9565\/aa8072","volume":"2","author":"J Romero","year":"2017","unstructured":"Romero J, Olson JP, Aspuru-Guzik A (2017) Quantum autoencoders for efficient compression of quantum data. Quant Sci Technol 2(4):045001","journal-title":"Quant Sci Technol"},{"key":"18_CR20","doi-asserted-by":"crossref","unstructured":"Schapire RE (2003) The boosting approach to machine learning: an overview. In: Nonlinear estimation and classification. Springer, pp 149\u2013171","DOI":"10.1007\/978-0-387-21579-2_9"},{"issue":"4","key":"18_CR21","doi-asserted-by":"publisher","first-page":"040504","DOI":"10.1103\/PhysRevLett.122.040504","volume":"122","author":"M Schuld","year":"2019","unstructured":"Schuld M, Killoran N (2019) Quantum machine learning in feature Hilbert spaces. Phys Revi Lett 122 (4):040504","journal-title":"Phys Revi Lett"},{"issue":"1","key":"18_CR22","doi-asserted-by":"publisher","first-page":"2772","DOI":"10.1038\/s41598-018-20403-3","volume":"8","author":"M Schuld","year":"2018","unstructured":"Schuld M, Petruccione F (2018) Quantum ensembles of quantum classifiers. Sci Rep 8(1):2772","journal-title":"Sci Rep"},{"key":"18_CR23","doi-asserted-by":"crossref","unstructured":"Schuld M, Petruccione F (2018a) Supervised learning with quantum computers","DOI":"10.1007\/978-3-319-96424-9"},{"key":"18_CR24","doi-asserted-by":"crossref","unstructured":"Schuld M, Petruccione F (2018b) Supervised learning with quantum computers, vol 17. Springer","DOI":"10.1007\/978-3-319-96424-9"},{"issue":"3","key":"18_CR25","doi-asserted-by":"publisher","first-page":"814","DOI":"10.1145\/1166074.1166077","volume":"31","author":"U Shaft","year":"2006","unstructured":"Shaft U, Ramakrishnan R (2006) Theory of nearest neighbors indexability. ACM Trans Datab Syst (TODS) 31(3):814\u2013838","journal-title":"ACM Trans Datab Syst (TODS)"},{"issue":"5","key":"18_CR26","doi-asserted-by":"publisher","first-page":"1474","DOI":"10.1137\/S0097539796298637","volume":"26","author":"DR Simon","year":"1997","unstructured":"Simon DR (1997) On the power of quantum computation. SIAM J Comput 26(5):1474\u20131483","journal-title":"SIAM J Comput"},{"issue":"3","key":"18_CR27","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1007\/BF00533707","volume":"66","author":"R van Zwet","year":"1984","unstructured":"van Zwet R (1984) A Berry-Esseen bound for symmetric statistics. Zeitschrift f\u00fcr Wahrscheinlichkeitstheorie und verwandte Gebiete 66(3):425\u2013440","journal-title":"Zeitschrift f\u00fcr Wahrscheinlichkeitstheorie und verwandte Gebiete"},{"key":"18_CR28","unstructured":"Verdon G, Broughton M, Biamonte J (2017) A quantum algorithm to train neural networks using low-depth circuits. arXiv:1712.05304"},{"key":"18_CR29","doi-asserted-by":"crossref","unstructured":"Zhang C, Ma Y (2012) Ensemble machine learning: methods and applications. Springer","DOI":"10.1007\/978-1-4419-9326-7"},{"issue":"5","key":"18_CR30","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1002\/sam.11161","volume":"5","author":"A Zimek","year":"2012","unstructured":"Zimek A, Schubert E, Kriegel H-P (2012) A survey on unsupervised outlier detection in high-dimensional numerical data. Statist Ana Data Min: ASA Data Sci J 5(5):363\u2013387","journal-title":"Statist Ana Data Min: ASA Data Sci J"}],"container-title":["Quantum Machine Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s42484-020-00018-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s42484-020-00018-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s42484-020-00018-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,10,29]],"date-time":"2022-10-29T09:44:19Z","timestamp":1667036659000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s42484-020-00018-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6]]},"references-count":30,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2020,6]]}},"alternative-id":["18"],"URL":"https:\/\/doi.org\/10.1007\/s42484-020-00018-6","relation":{},"ISSN":["2524-4906","2524-4914"],"issn-type":[{"value":"2524-4906","type":"print"},{"value":"2524-4914","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,6]]},"assertion":[{"value":"2 February 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 May 2020","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"18 June 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"6"}}