{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,5]],"date-time":"2026-08-05T22:14:28Z","timestamp":1785968068804,"version":"3.56.0"},"reference-count":54,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2023,2,21]],"date-time":"2023-02-21T00:00:00Z","timestamp":1676937600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,2,21]],"date-time":"2023-02-21T00:00:00Z","timestamp":1676937600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["306727\/2017-0"],"award-info":[{"award-number":["306727\/2017-0"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"crossref","award":["409415\/2018-9"],"award-info":[{"award-number":["409415\/2018-9"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"crossref","award":["308730\/2018-6"],"award-info":[{"award-number":["308730\/2018-6"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"crossref","award":["421849\/2016-9"],"award-info":[{"award-number":["421849\/2016-9"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Funda\u00c7\u00f5 de Amparo \u00e1 Ci\u00eancia e Tecnologia de Pernambuco","award":["IBPG-0834-1.03\/19"],"award-info":[{"award-number":["IBPG-0834-1.03\/19"]}]},{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"crossref","award":["2019R1I1A1A01050161"],"award-info":[{"award-number":["2019R1I1A1A01050161"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"crossref","award":["2021M3H3A1038085"],"award-info":[{"award-number":["2021M3H3A1038085"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100003725","name":"National Research Foundation of Korea","doi-asserted-by":"crossref","award":["2022M3E4A1074591"],"award-info":[{"award-number":["2022M3E4A1074591"]}],"id":[{"id":"10.13039\/501100003725","id-type":"DOI","asserted-by":"crossref"}]},{"name":"South African Research Chair Initiative","award":["64812"],"award-info":[{"award-number":["64812"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-023-03869-7","type":"journal-article","created":{"date-parts":[[2023,2,21]],"date-time":"2023-02-21T21:45:16Z","timestamp":1677015916000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":36,"title":["Configurable sublinear circuits for quantum state preparation"],"prefix":"10.1007","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0308-8701","authenticated-orcid":false,"given":"Israel F.","family":"Araujo","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3177-4143","authenticated-orcid":false,"given":"Daniel K.","family":"Park","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8980-6742","authenticated-orcid":false,"given":"Teresa B.","family":"Ludermir","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3261-8265","authenticated-orcid":false,"given":"Wilson R.","family":"Oliveira","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8604-0913","authenticated-orcid":false,"given":"Francesco","family":"Petruccione","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0019-7694","authenticated-orcid":false,"given":"Adenilton J.","family":"da Silva","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,2,21]]},"reference":[{"issue":"6\u20137","key":"3869_CR1","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1007\/BF02650179","volume":"21","author":"RP Feynman","year":"1982","unstructured":"Feynman, R.P.: Simulating physics with computers. Int. J. Theor. Phys. 21(6\u20137), 467\u2013488 (1982)","journal-title":"Int. J. Theor. Phys."},{"issue":"1907","key":"3869_CR2","first-page":"553","volume":"439","author":"D Deutsch","year":"1992","unstructured":"Deutsch, D., Jozsa, R.: Rapid solution of problems by quantum computation. Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. 439(1907), 553\u2013558 (1992)","journal-title":"Proc. R. Soc. Lond. Ser. A Math. Phys. Sci."},{"key":"3869_CR3","doi-asserted-by":"crossref","unstructured":"Grover, L.K.: A fast quantum mechanical algorithm for database search. In: Proceedings of the Twenty-Eighth Annual ACM Symposium on Theory of Computing. STOC \u201996, pp. 212\u2013219. Association for Computing Machinery, Philadelphia (1996)","DOI":"10.1145\/237814.237866"},{"issue":"5","key":"3869_CR4","doi-asserted-by":"crossref","first-page":"1474","DOI":"10.1137\/S0097539796298637","volume":"26","author":"DR Simon","year":"1997","unstructured":"Simon, D.R.: On the power of quantum computation. SIAM J. Comput. 26(5), 1474\u20131483 (1997)","journal-title":"SIAM J. Comput."},{"issue":"2","key":"3869_CR5","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1137\/S0036144598347011","volume":"41","author":"PW Shor","year":"1999","unstructured":"Shor, P.W.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM Rev. 41(2), 303\u2013332 (1999)","journal-title":"SIAM Rev."},{"issue":"4","key":"3869_CR6","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1038\/nphys3272","volume":"11","author":"S Aaronson","year":"2015","unstructured":"Aaronson, S.: Read the fine print. Nat. Phys. 11(4), 291\u2013293 (2015)","journal-title":"Nat. Phys."},{"issue":"7671","key":"3869_CR7","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1038\/nature23474","volume":"549","author":"J Biamonte","year":"2017","unstructured":"Biamonte, J., Wittek, P., Pancotti, N., Rebentrost, P., Wiebe, N., Lloyd, S.: Quantum machine learning. Nature 549(7671), 195\u2013202 (2017)","journal-title":"Nature"},{"issue":"4","key":"3869_CR8","doi-asserted-by":"crossref","DOI":"10.1088\/2058-9565\/abae7d","volume":"5","author":"F Leymann","year":"2020","unstructured":"Leymann, F., Barzen, J.: The bitter truth about gate-based quantum algorithms in the NISQ era. Quantum Sci. Technol. 5(4), 044007 (2020)","journal-title":"Quantum Sci. Technol."},{"key":"3869_CR9","volume":"127","author":"E Tang","year":"2021","unstructured":"Tang, E.: Quantum principal component analysis only achieves an exponential speedup because of its state preparation assumptions. Phys. Rev. Lett. 127, 060503 (2021)","journal-title":"Phys. Rev. Lett."},{"issue":"6","key":"3869_CR10","doi-asserted-by":"crossref","first-page":"1000","DOI":"10.1109\/TCAD.2005.855930","volume":"25","author":"VV Shende","year":"2006","unstructured":"Shende, V.V., Bullock, S.S., Markov, I.L.: Synthesis of quantum-logic circuits. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 25(6), 1000\u20131010 (2006)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"key":"3869_CR11","doi-asserted-by":"crossref","unstructured":"Hogg, T., Huberman, B.A., Williams, C.P.: Phase transitions and the search problem. Artif. Intell. 81(1), 1\u201315 (1996) (Frontiers in problem solving: phase transitions and complexity)","DOI":"10.1016\/0004-3702(95)00044-5"},{"issue":"3","key":"3869_CR12","doi-asserted-by":"crossref","first-page":"1822","DOI":"10.1103\/PhysRevA.58.1822","volume":"58","author":"BM Terhal","year":"1998","unstructured":"Terhal, B.M., Smolin, J.A.: Single quantum querying of a database. Phys. Rev. A 58(3), 1822\u20131826 (1998)","journal-title":"Phys. Rev. A"},{"key":"3869_CR13","doi-asserted-by":"crossref","DOI":"10.1016\/j.rinp.2020.103536","volume":"21","author":"M Zidan","year":"2021","unstructured":"Zidan, M., Eleuch, H., Abdel-Aty, M.: Non-classical computing problems: toward novel type of quantum computing problems. Results Phys. 21, 103536 (2021)","journal-title":"Results Phys."},{"key":"3869_CR14","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.103.150502","volume":"103","author":"AW Harrow","year":"2009","unstructured":"Harrow, A.W., Hassidim, A., Lloyd, S.: Quantum algorithm for linear systems of equations. Phys. Rev. Lett. 103, 150502 (2009)","journal-title":"Phys. Rev. Lett."},{"issue":"6","key":"3869_CR15","doi-asserted-by":"crossref","first-page":"1334","DOI":"10.1103\/PhysRevLett.85.1334","volume":"85","author":"LK Grover","year":"2000","unstructured":"Grover, L.K.: Synthesis of quantum superpositions by quantum computation. Phys. Rev. Lett. 85(6), 1334\u20131337 (2000)","journal-title":"Phys. Rev. Lett."},{"key":"3869_CR16","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.122.020502","volume":"122","author":"YR Sanders","year":"2019","unstructured":"Sanders, Y.R., Low, G.H., Scherer, A., Berry, D.W.: Black-box quantum state preparation without arithmetic. Phys. Rev. Lett. 122, 020502 (2019)","journal-title":"Phys. Rev. Lett."},{"issue":"8","key":"3869_CR17","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1007\/s11128-021-03203-z","volume":"20","author":"S Wang","year":"2021","unstructured":"Wang, S., Wang, Z., Cui, G., Shi, S., Shang, R., Fan, L., Li, W., Wei, Z., Gu, Y.: Fast black-box quantum state preparation based on linear combination of unitaries. Quantum Inf. Process. 20(8), 270 (2021)","journal-title":"Quantum Inf. Process."},{"issue":"6","key":"3869_CR18","doi-asserted-by":"crossref","first-page":"067901","DOI":"10.1103\/PhysRevLett.87.067901","volume":"87","author":"CA Trugenberger","year":"2001","unstructured":"Trugenberger, C.A.: Probabilistic quantum memories. Phys. Rev. Lett. 87(6), 067901 (2001)","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"3869_CR19","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1016\/S0020-0255(99)00101-2","volume":"124","author":"D Ventura","year":"2000","unstructured":"Ventura, D., Martinez, T.: Quantum associative memory. Inf. Sci. 124(1), 273\u2013296 (2000)","journal-title":"Inf. Sci."},{"issue":"6","key":"3869_CR20","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1023\/A:1024022632303","volume":"1","author":"CA Trugenberger","year":"2002","unstructured":"Trugenberger, C.A.: Quantum pattern recognition. Quantum Inf. Process. 1(6), 471\u2013493 (2002)","journal-title":"Quantum Inf. Process."},{"key":"3869_CR21","volume":"100","author":"V Giovannetti","year":"2008","unstructured":"Giovannetti, V., Lloyd, S., Maccone, L.: Quantum random access memory. Phys. Rev. Lett. 100, 160501 (2008)","journal-title":"Phys. Rev. Lett."},{"key":"3869_CR22","doi-asserted-by":"crossref","unstructured":"Silva, A., de Oliveira, W., Ludermir, T.: A weightless neural node based on a probabilistic quantum memory. In: 2010 Eleventh Brazilian Symposium on Neural Networks, pp. 259\u2013264. IEEE, Sao Paulo (2010). ISSN: 2375-0235","DOI":"10.1109\/SBRN.2010.52"},{"key":"3869_CR23","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/j.neucom.2019.03.078","volume":"351","author":"FM de Paula Neto","year":"2019","unstructured":"de Paula Neto, F.M., da Silva, A.J., de Oliveira, W.R., Ludermir, T.B.: Quantum probabilistic associative memory architecture. Neurocomputing 351, 101\u2013110 (2019)","journal-title":"Neurocomputing"},{"issue":"1","key":"3869_CR24","doi-asserted-by":"crossref","first-page":"3949","DOI":"10.1038\/s41598-019-40439-3","volume":"9","author":"DK Park","year":"2019","unstructured":"Park, D.K., Petruccione, F., Rhee, J.-K.K.: Circuit-based quantum random access memory for classical data. Sci. Rep. 9(1), 3949 (2019)","journal-title":"Sci. Rep."},{"key":"3869_CR25","doi-asserted-by":"crossref","first-page":"151775","DOI":"10.1109\/ACCESS.2021.3119588","volume":"9","author":"M Zidan","year":"2021","unstructured":"Zidan, M., Abdel-Aty, A.-H., Khalil, A., Abdel-Aty, M., Eleuch, H.: A novel efficient quantum random access memory. IEEE Access 9, 151775\u2013151780 (2021)","journal-title":"IEEE Access"},{"key":"3869_CR26","unstructured":"Lloyd, S., Mohseni, M., Rebentrost, P.: Quantum algorithms for supervised and unsupervised machine learning (2013). arXiv:1307.0411 [quant-ph]"},{"key":"3869_CR27","first-page":"9","volume-title":"Advances in Neural Information Processing Systems","author":"E Stoudenmire","year":"2016","unstructured":"Stoudenmire, E., Schwab, D.J.: Supervised learning with tensor networks. In: Lee, D., Sugiyama, M., Luxburg, U., Guyon, I., Garnett, R. (eds.) Advances in Neural Information Processing Systems, vol. 29, p. 9. Curran Associates, Inc., Centre Convencions Internacional Barcelona, Barcelona (2016)"},{"issue":"6","key":"3869_CR28","doi-asserted-by":"crossref","first-page":"60002","DOI":"10.1209\/0295-5075\/119\/60002","volume":"119","author":"M Schuld","year":"2017","unstructured":"Schuld, M., Fingerhuth, M., Petruccione, F.: Implementing a distance-based classifier with a quantum interference circuit. EPL (Europhys. Lett.) 119(6), 60002 (2017)","journal-title":"EPL (Europhys. Lett.)"},{"key":"3869_CR29","doi-asserted-by":"crossref","unstructured":"Schuld, M., Petruccione, F.: Supervised Learning with Quantum Computers, 1st ed. 2018 edn. Quantum Science and Technology. Springer, Cham (2018)","DOI":"10.1007\/978-3-319-96424-9_1"},{"key":"3869_CR30","doi-asserted-by":"crossref","first-page":"043001","DOI":"10.1088\/2058-9565\/ab4eb5","volume":"4","author":"M Benedetti","year":"2019","unstructured":"Benedetti, M., Lloyd, E., Sack, S., Fiorentini, M.: Parameterized quantum circuits as machine learning models. Quantum Sci. Technol. 4, 043001 (2019)","journal-title":"Quantum Sci. Technol."},{"issue":"6","key":"3869_CR31","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.122.065301","volume":"122","author":"Y Levine","year":"2019","unstructured":"Levine, Y., Sharir, O., Cohen, N., Shashua, A.: Quantum entanglement in deep learning architectures. Phys. Rev. Lett. 122(6), 065301 (2019)","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"3869_CR32","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1038\/s41534-020-0272-6","volume":"6","author":"C Blank","year":"2020","unstructured":"Blank, C., Park, D.K., Rhee, J.-K.K., Petruccione, F.: Quantum classifier with tailored quantum kernel. npj Quantum Inf. 6(1), 1\u20137 (2020)","journal-title":"npj Quantum Inf."},{"issue":"9","key":"3869_CR33","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1038\/nphys3029","volume":"10","author":"S Lloyd","year":"2014","unstructured":"Lloyd, S., Mohseni, M., Rebentrost, P.: Quantum principal component analysis. Nat. Phys. 10(9), 631\u2013633 (2014)","journal-title":"Nat. Phys."},{"issue":"6","key":"3869_CR34","doi-asserted-by":"crossref","first-page":"1920","DOI":"10.1137\/16M1087072","volume":"46","author":"AM Childs","year":"2017","unstructured":"Childs, A.M., Kothari, R., Somma, R.D.: Quantum algorithm for systems of linear equations with exponentially improved dependence on precision. SIAM J. Comput. 46(6), 1920\u20131950 (2017)","journal-title":"SIAM J. Comput."},{"key":"3869_CR35","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.120.050502","volume":"120","author":"L Wossnig","year":"2018","unstructured":"Wossnig, L., Zhao, Z., Prakash, A.: Quantum linear system algorithm for dense matrices. Phys. Rev. Lett. 120, 050502 (2018)","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"3869_CR36","doi-asserted-by":"crossref","first-page":"012327","DOI":"10.1103\/PhysRevA.97.012327","volume":"97","author":"P Rebentrost","year":"2018","unstructured":"Rebentrost, P., Steffens, A., Marvian, I., Lloyd, S.: Quantum singular-value decomposition of nonsparse low-rank matrices. Phys. Rev. A 97(1), 012327 (2018)","journal-title":"Phys. Rev. A"},{"key":"3869_CR37","volume-title":"Machine Learning. McGraw-Hill Series in Computer Science","author":"TM Mitchell","year":"2013","unstructured":"Mitchell, T.M.: Machine Learning. McGraw-Hill Series in Computer Science, Nachdr McGraw-Hill, New York (2013)","edition":"Nachdr"},{"issue":"6","key":"3869_CR38","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1023\/A:1021695125245","volume":"12","author":"D Ventura","year":"1999","unstructured":"Ventura, D., Martinez, T.: Initializing the amplitude distribution of a quantum state. Found. Phys. Lett. 12(6), 547\u2013559 (1999)","journal-title":"Found. Phys. Lett."},{"issue":"1","key":"3869_CR39","volume":"64","author":"G-L Long","year":"2001","unstructured":"Long, G.-L., Sun, Y.: Efficient scheme for initializing a quantum register with an arbitrary superposed state. Phys. Rev. A 64(1), 014303 (2001)","journal-title":"Phys. Rev. A"},{"issue":"6","key":"3869_CR40","first-page":"467","volume":"5","author":"M Mottonen","year":"2005","unstructured":"Mottonen, M., Vartiainen, J.J., Bergholm, V., Salomaa, M.M.: Transformation of quantum states using uniformly controlled rotations. Quantum Inf. Comput. 5(6), 467\u2013473 (2005)","journal-title":"Quantum Inf. Comput."},{"issue":"3","key":"3869_CR41","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.83.032302","volume":"83","author":"M Plesch","year":"2011","unstructured":"Plesch, M., Brukner, C.: Quantum-state preparation with universal gate decompositions. Phys. Rev. A 83(3), 032302 (2011)","journal-title":"Phys. Rev. A"},{"key":"3869_CR42","unstructured":"Cortese, J.A., Braje, T.M.: Loading classical data into a quantum computer (2018)"},{"issue":"1","key":"3869_CR43","doi-asserted-by":"crossref","first-page":"6329","DOI":"10.1038\/s41598-021-85474-1","volume":"11","author":"IF Araujo","year":"2021","unstructured":"Araujo, I.F., Park, D.K., Petruccione, F., da Silva, A.J.: A divide-and-conquer algorithm for quantum state preparation. Sci. Rep. 11(1), 6329 (2021)","journal-title":"Sci. Rep."},{"issue":"8","key":"3869_CR44","volume":"21","author":"DK Park","year":"2019","unstructured":"Park, D.K., Sinayskiy, I., Fingerhuth, M., Petruccione, F., Rhee, J.-K.K.: Parallel quantum trajectories via forking for sampling without redundancy. New J. Phys. 21(8), 083024 (2019)","journal-title":"New J. Phys."},{"key":"3869_CR45","unstructured":"Low, G.H., Kliuchnikov, V., Schaeffer, L.: Trading T-gates for dirty qubits in state preparation and unitary synthesis (2018)"},{"issue":"1","key":"3869_CR46","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1038\/s41534-019-0223-2","volume":"5","author":"C Zoufal","year":"2019","unstructured":"Zoufal, C., Lucchi, A., Woerner, S.: Quantum generative adversarial networks for learning and loading random distributions. npj Quantum Inf. 5(1), 1\u20139 (2019)","journal-title":"npj Quantum Inf."},{"key":"3869_CR47","doi-asserted-by":"crossref","first-page":"290","DOI":"10.22331\/q-2020-07-06-290","volume":"4","author":"VV Kuzmin","year":"2020","unstructured":"Kuzmin, V.V., Silvi, P.: Variational quantum state preparation via quantum data buses. Quantum 4, 290 (2020)","journal-title":"Quantum"},{"key":"3869_CR48","unstructured":"IBM: IBM\u2019s roadmap for scaling quantum technology (2020). https:\/\/research.ibm.com\/blog\/ibm-quantum-roadmap"},{"key":"3869_CR49","doi-asserted-by":"crossref","first-page":"79","DOI":"10.22331\/q-2018-08-06-79","volume":"2","author":"J Preskill","year":"2018","unstructured":"Preskill, J.: Quantum computing in the NISQ era and beyond. Quantum 2, 79 (2018)","journal-title":"Quantum"},{"key":"3869_CR50","doi-asserted-by":"crossref","first-page":"032307","DOI":"10.1103\/PhysRevA.101.032307","volume":"101","author":"T Xin","year":"2020","unstructured":"Xin, T., Wei, S., Cui, J., Xiao, J., Arrazola, I.N., Lamata, L., Kong, X., Lu, D., Solano, E., Long, G.: Quantum algorithm for solving linear differential equations: theory and experiment. Phys. Rev. A 101, 032307 (2020)","journal-title":"Phys. Rev. A"},{"key":"3869_CR51","unstructured":"Aleksandrowicz, G., et al.: Qiskit: an open-source framework for quantum computing (2021)"},{"key":"3869_CR52","unstructured":"Bergholm, V., Izaac, J., Schuld, M., Gogolin, C., Alam, M.S., Ahmed, S., Arrazola, J.M., Blank, C., Delgado, A., Jahangiri, S., McKiernan, K., Meyer, J.J., Niu, Z., Sz\u00e1va, A., Killoran, N.: PennyLane: automatic differentiation of hybrid quantum-classical computations (2020)"},{"key":"3869_CR53","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-030-83098-4","volume-title":"Machine Learning with Quantum Computers. Quantum Science and Technology","author":"M Schuld","year":"2021","unstructured":"Schuld, M., Petruccione, F.: Machine Learning with Quantum Computers. Quantum Science and Technology. Springer, Cham (2021)"},{"issue":"5","key":"3869_CR54","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.71.052330","volume":"71","author":"V Bergholm","year":"2005","unstructured":"Bergholm, V., Vartiainen, J.J., M\u00f6tt\u00f6nen, M., Salomaa, M.M.: Quantum circuits with uniformly controlled one-qubit gates. Phys. Rev. A 71(5), 052330 (2005)","journal-title":"Phys. Rev. A"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-023-03869-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-023-03869-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-023-03869-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,20]],"date-time":"2023-03-20T16:26:29Z","timestamp":1679329589000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-023-03869-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,21]]},"references-count":54,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2023,2]]}},"alternative-id":["3869"],"URL":"https:\/\/doi.org\/10.1007\/s11128-023-03869-7","relation":{},"ISSN":["1573-1332"],"issn-type":[{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,2,21]]},"assertion":[{"value":"26 May 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 January 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 February 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"123"}}