{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,20]],"date-time":"2026-03-20T16:00:14Z","timestamp":1774022414777,"version":"3.50.1"},"reference-count":54,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T00:00:00Z","timestamp":1706572800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T00:00:00Z","timestamp":1706572800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12075206"],"award-info":[{"award-number":["12075206"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11905184"],"award-info":[{"award-number":["11905184"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-023-04243-3","type":"journal-article","created":{"date-parts":[[2024,1,30]],"date-time":"2024-01-30T07:02:28Z","timestamp":1706598148000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Quantum image compression with autoencoders based on parameterized quantum circuits"],"prefix":"10.1007","volume":"23","author":[{"given":"Hengyan","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"Tan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yixiao","family":"Huang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0703-3377","authenticated-orcid":false,"given":"Wenqiang","family":"Zheng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,1,30]]},"reference":[{"issue":"1818","key":"4243_CR1","first-page":"97","volume":"400","author":"D Deutsch","year":"1985","unstructured":"Deutsch, D.: Quantum theory, the Church\u2013Turing principle and the universal quantum computer. Proc. Math. Phys. Eng. Sci. 400(1818), 97\u2013117 (1985)","journal-title":"Proc. Math. Phys. Eng. Sci."},{"issue":"7029","key":"4243_CR2","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1038\/nature03350","volume":"434","author":"E Knill","year":"2005","unstructured":"Knill, E.: Quantum computing with realistically noisy devices. Nature 434(7029), 39\u201344 (2005)","journal-title":"Nature"},{"issue":"7671","key":"4243_CR3","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1038\/nature23458","volume":"549","author":"AW Harrow","year":"2017","unstructured":"Harrow, A.W., Montanaro, A.: Quantum computational supremacy. Nature 549(7671), 203\u2013209 (2017)","journal-title":"Nature"},{"issue":"5278","key":"4243_CR4","doi-asserted-by":"publisher","first-page":"1073","DOI":"10.1126\/science.273.5278.1073","volume":"273","author":"S Lloyd","year":"1996","unstructured":"Lloyd, S.: Universal quantum simulators. Science 273(5278), 1073\u20131078 (1996)","journal-title":"Science"},{"issue":"1","key":"4243_CR5","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1103\/RevModPhys.86.153","volume":"86","author":"IM Georgescu","year":"2014","unstructured":"Georgescu, I.M., Ashhab, S., Nori, F.: Quantum simulation. Rev. Mod. Phys. 86(1), 153 (2014)","journal-title":"Rev. Mod. Phys."},{"issue":"3","key":"4243_CR6","first-page":"031011","volume":"7","author":"J Li","year":"2017","unstructured":"Li, J., Fan, R., Wang, H., Ye, B., Zeng, B., Zhai, H., Peng, X., Du, J.: Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator. Phys. Rev. X 7(3), 031011 (2017)","journal-title":"Phys. Rev. X"},{"key":"4243_CR7","doi-asserted-by":"crossref","unstructured":"Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings 35th Annual Symposium on Foundations of Computer Science, pp. 124\u2013134. IEEE (1994)","DOI":"10.1109\/SFCS.1994.365700"},{"key":"4243_CR8","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, pp. 212\u2013219 (1996)","DOI":"10.1145\/237814.237866"},{"issue":"13","key":"4243_CR9","doi-asserted-by":"publisher","first-page":"130501","DOI":"10.1103\/PhysRevLett.108.130501","volume":"108","author":"N Xu","year":"2012","unstructured":"Xu, N., Zhu, J., Lu, D., Zhou, X., Peng, X., Du, J.: Quantum factorization of 143 on a dipolar-coupling nuclear magnetic resonance system. Phys. Rev. Lett. 108(13), 130501 (2012)","journal-title":"Phys. Rev. Lett."},{"key":"4243_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s11128-015-1195-6","volume":"15","author":"F Yan","year":"2016","unstructured":"Yan, F., Iliyasu, A.M., Venegas-Andraca, S.E.: A survey of quantum image representations. Quantum Inf. Process. 15, 1\u201335 (2016)","journal-title":"Quantum Inf. Process."},{"key":"4243_CR11","first-page":"137","volume":"5105","author":"SE Venegas-Andraca","year":"2003","unstructured":"Venegas-Andraca, S.E., Bose, S.: Storing, processing, and retrieving an image using quantum mechanics. Quantum Inf. Comput. 5105, 137\u2013147 (2003)","journal-title":"Quantum Inf. Comput."},{"key":"4243_CR12","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1007\/s11128-010-0177-y","volume":"10","author":"PQ Le","year":"2011","unstructured":"Le, P.Q., Dong, F., Hirota, K.: A flexible representation of quantum images for polynomial preparation, image compression, and processing operations. Quantum Inf. Process. 10, 63\u201384 (2011)","journal-title":"Quantum Inf. Process."},{"key":"4243_CR13","doi-asserted-by":"publisher","first-page":"991","DOI":"10.1007\/s11128-013-0705-7","volume":"13","author":"H-S Li","year":"2014","unstructured":"Li, H.-S., Zhu, Q., Zhou, R.-G., Song, L., Yang, X.-J.: Multi-dimensional color image storage and retrieval for a normal arbitrary quantum superposition state. Quantum Inf. Process. 13, 991\u20131011 (2014)","journal-title":"Quantum Inf. Process."},{"issue":"3","key":"4243_CR14","first-page":"031041","volume":"7","author":"X-W Yao","year":"2017","unstructured":"Yao, X.-W., Wang, H., Liao, Z., Chen, M.-C., Pan, J., Li, J., Zhang, K., Lin, X., Wang, Z., Luo, Z., et al.: Quantum image processing and its application to edge detection: theory and experiment. Phys. Rev. X 7(3), 031041 (2017)","journal-title":"Phys. Rev. X"},{"issue":"15","key":"4243_CR15","doi-asserted-by":"publisher","first-page":"1406","DOI":"10.1016\/j.tcs.2010.11.029","volume":"412","author":"PQ Le","year":"2011","unstructured":"Le, P.Q., Iliyasu, A.M., Dong, F., Hirota, K.: Strategies for designing geometric transformations on quantum images. Theor. Comput. Sci. 412(15), 1406\u20131418 (2011)","journal-title":"Theor. Comput. Sci."},{"key":"4243_CR16","doi-asserted-by":"publisher","first-page":"1573","DOI":"10.1007\/s11128-014-0842-7","volume":"14","author":"Y Zhang","year":"2015","unstructured":"Zhang, Y., Lu, K., Xu, K., Gao, Y., Wilson, R.: Local feature point extraction for quantum images. Quantum Inf. Process. 14, 1573\u20131588 (2015)","journal-title":"Quantum Inf. Process."},{"key":"4243_CR17","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1016\/j.tcs.2013.08.005","volume":"529","author":"S Caraiman","year":"2014","unstructured":"Caraiman, S., Manta, V.I.: Histogram-based segmentation of quantum images. Theor. Comput. Sci. 529, 46\u201360 (2014)","journal-title":"Theor. Comput. Sci."},{"issue":"5","key":"4243_CR18","doi-asserted-by":"publisher","first-page":"1223","DOI":"10.1007\/s11128-013-0721-7","volume":"13","author":"N Jiang","year":"2014","unstructured":"Jiang, N., Wu, W.-Y., Wang, L.: The quantum realization of Arnold and Fibonacci image scrambling. Quantum Inf. Process. 13(5), 1223\u20131236 (2014)","journal-title":"Quantum Inf. Process."},{"issue":"1","key":"4243_CR19","doi-asserted-by":"publisher","first-page":"126","DOI":"10.1016\/j.ins.2011.09.028","volume":"186","author":"AM Iliyasu","year":"2012","unstructured":"Iliyasu, A.M., Le, P.Q., Dong, F., Hirota, K.: Watermarking and authentication of quantum images based on restricted geometric transformations. Inf. Sci. 186(1), 126\u2013149 (2012)","journal-title":"Inf. Sci."},{"issue":"13","key":"4243_CR20","doi-asserted-by":"publisher","first-page":"130503","DOI":"10.1103\/PhysRevLett.113.130503","volume":"113","author":"P Rebentrost","year":"2014","unstructured":"Rebentrost, P., Mohseni, M., Lloyd, S.: Quantum support vector machine for big data classification. Phys. Rev. Lett. 113(13), 130503 (2014)","journal-title":"Phys. Rev. Lett."},{"issue":"4","key":"4243_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.: Quantum machine learning in feature Hilbert spaces. Phys. Rev. Lett. 122(4), 040504 (2019)","journal-title":"Phys. Rev. Lett."},{"issue":"3","key":"4243_CR22","doi-asserted-by":"publisher","first-page":"032308","DOI":"10.1103\/PhysRevA.101.032308","volume":"101","author":"M Schuld","year":"2020","unstructured":"Schuld, M., Bocharov, A., Svore, K.M., Wiebe, N.: Circuit-centric quantum classifiers. Phys. Rev. A 101(3), 032308 (2020)","journal-title":"Phys. Rev. A"},{"issue":"7747","key":"4243_CR23","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, A.D., Temme, K., Harrow, A.W., Kandala, A., Chow, J.M., Gambetta, J.M.: Supervised learning with quantum-enhanced feature spaces. Nature 567(7747), 209\u2013212 (2019)","journal-title":"Nature"},{"issue":"4","key":"4243_CR24","doi-asserted-by":"publisher","first-page":"045001","DOI":"10.1088\/2058-9565\/aa8072","volume":"2","author":"J Romero","year":"2017","unstructured":"Romero, J., Olson, J.P., Aspuru-Guzik, A.: Quantum autoencoders for efficient compression of quantum data. Quantum Sci. Technol. 2(4), 045001 (2017)","journal-title":"Quantum Sci. Technol."},{"issue":"5","key":"4243_CR25","doi-asserted-by":"publisher","first-page":"054012","DOI":"10.1103\/PhysRevApplied.15.054012","volume":"15","author":"C Cao","year":"2021","unstructured":"Cao, C., Wang, X.: Noise-assisted quantum autoencoder. Phys. Rev. Appl. 15(5), 054012 (2021)","journal-title":"Phys. Rev. Appl."},{"issue":"6","key":"4243_CR26","doi-asserted-by":"publisher","first-page":"060501","DOI":"10.1103\/PhysRevLett.122.060501","volume":"122","author":"A Pepper","year":"2019","unstructured":"Pepper, A., Tischler, N., Pryde, G.J.: Experimental realization of a quantum autoencoder: the compression of qutrits via machine learning. Phys. Rev. Lett. 122(6), 060501 (2019)","journal-title":"Phys. Rev. Lett."},{"key":"4243_CR27","doi-asserted-by":"crossref","unstructured":"Sleeman, J., Dorband, J., Halem, M.: A hybrid quantum enabled RBM advantage: convolutional autoencoders for quantum image compression and generative learning. In: Quantum Information Science, Sensing, and Computation XII, vol. 11391, pp. 23\u201338. SPIE (2020)","DOI":"10.1117\/12.2558832"},{"key":"4243_CR28","unstructured":"Verdon, G., Broughton, M., Biamonte, J.: A quantum algorithm to train neural networks using low-depth circuits (2017). arXiv preprint arXiv:1712.05304"},{"issue":"1","key":"4243_CR29","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1038\/s41534-019-0157-8","volume":"5","author":"M Benedetti","year":"2019","unstructured":"Benedetti, M., Garcia-Pintos, D., Perdomo, O., Leyton-Ortega, V., Nam, Y., Perdomo-Ortiz, A.: A generative modeling approach for benchmarking and training shallow quantum circuits. npj Quantum Inf. 5(1), 45 (2019)","journal-title":"npj Quantum Inf."},{"issue":"1","key":"4243_CR30","doi-asserted-by":"publisher","first-page":"808","DOI":"10.1038\/s41467-020-14454-2","volume":"11","author":"K Beer","year":"2020","unstructured":"Beer, K., Bondarenko, D., Farrelly, T., Osborne, T.J., Salzmann, R., Scheiermann, D., Wolf, R.: Training deep quantum neural networks. Nat. Commun. 11(1), 808 (2020)","journal-title":"Nat. Commun."},{"issue":"12","key":"4243_CR31","doi-asserted-by":"publisher","first-page":"1273","DOI":"10.1038\/s41567-019-0648-8","volume":"15","author":"I Cong","year":"2019","unstructured":"Cong, I., Choi, S., Lukin, M.D.: Quantum convolutional neural networks. Nat. Phys. 15(12), 1273\u20131278 (2019)","journal-title":"Nat. Phys."},{"issue":"4","key":"4243_CR32","first-page":"041011","volume":"11","author":"A Pesah","year":"2021","unstructured":"Pesah, A., Cerezo, M., Wang, S., Volkoff, T., Sornborger, A.T., Coles, P.J.: Absence of barren plateaus in quantum convolutional neural networks. Phys. Rev. X 11(4), 041011 (2021)","journal-title":"Phys. Rev. X"},{"issue":"15","key":"4243_CR33","doi-asserted-by":"publisher","first-page":"150502","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(15), 150502 (2009)","journal-title":"Phys. Rev. Lett."},{"issue":"23","key":"4243_CR34","doi-asserted-by":"publisher","first-page":"230501","DOI":"10.1103\/PhysRevLett.110.230501","volume":"110","author":"X-D Cai","year":"2013","unstructured":"Cai, X.-D., Weedbrook, C., Su, Z.-E., Chen, M.-C., Gu, M., Zhu, M.-J., Li, L., Liu, N.-L., Lu, C.-Y., Pan, J.-W.: Experimental quantum computing to solve systems of linear equations. Phys. Rev. Lett. 110(23), 230501 (2013)","journal-title":"Phys. Rev. Lett."},{"issue":"2","key":"4243_CR35","doi-asserted-by":"publisher","first-page":"022313","DOI":"10.1103\/PhysRevA.89.022313","volume":"89","author":"J Pan","year":"2014","unstructured":"Pan, J., Cao, Y., Yao, X., Li, Z., Ju, C., Chen, H., Peng, X., Kais, S., Du, J.: Experimental realization of quantum algorithm for solving linear systems of equations. Phys. Rev. A 89(2), 022313 (2014)","journal-title":"Phys. Rev. A"},{"issue":"9","key":"4243_CR36","doi-asserted-by":"publisher","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":"11","key":"4243_CR37","doi-asserted-by":"publisher","first-page":"110502","DOI":"10.1103\/PhysRevLett.126.110502","volume":"126","author":"T Xin","year":"2021","unstructured":"Xin, T., Che, L., Xi, C., Singh, A., Nie, X., Li, J., Dong, Y., Lu, D.: Experimental quantum principal component analysis via parametrized quantum circuits. Phys. Rev. Lett. 126(11), 110502 (2021)","journal-title":"Phys. Rev. Lett."},{"issue":"2","key":"4243_CR38","doi-asserted-by":"publisher","first-page":"268","DOI":"10.1021\/acscentsci.7b00572","volume":"4","author":"R G\u00f3mez-Bombarelli","year":"2018","unstructured":"G\u00f3mez-Bombarelli, R., Wei, J.N., Duvenaud, D., Hern\u00e1ndez-Lobato, J.M., S\u00e1nchez-Lengeling, B., Sheberla, D., Aguilera-Iparraguirre, J., Hirzel, T.D., Adams, R.P., Aspuru-Guzik, A.: Automatic chemical design using a data-driven continuous representation of molecules. ACS Cent. Sci. 4(2), 268\u2013276 (2018)","journal-title":"ACS Cent. Sci."},{"key":"4243_CR39","doi-asserted-by":"publisher","first-page":"27","DOI":"10.1016\/j.neucom.2015.09.116","volume":"187","author":"Y Guo","year":"2016","unstructured":"Guo, Y., Liu, Y., Oerlemans, A., Lao, S., Wu, S., Lew, M.S.: Deep learning for visual understanding: a review. Neurocomputing 187, 27\u201348 (2016)","journal-title":"Neurocomputing"},{"key":"4243_CR40","doi-asserted-by":"crossref","unstructured":"Khandelwal, A., Chandra, M.G., Pramanik, S.: On classifying images using quantum image representation. In: 2022 IEEE\/ACM 7th Symposium on Edge Computing (SEC), pp. 444\u2013449. IEEE (2022)","DOI":"10.1109\/SEC54971.2022.00067"},{"issue":"15","key":"4243_CR41","doi-asserted-by":"publisher","first-page":"150503","DOI":"10.1103\/PhysRevLett.118.150503","volume":"118","author":"J Li","year":"2017","unstructured":"Li, J., Yang, X., Peng, X., Sun, C.-P.: Hybrid quantum-classical approach to quantum optimal control. Phys. Rev. Lett. 118(15), 150503 (2017)","journal-title":"Phys. Rev. Lett."},{"key":"4243_CR42","doi-asserted-by":"publisher","first-page":"2833","DOI":"10.1007\/s11128-013-0567-z","volume":"12","author":"Y Zhang","year":"2013","unstructured":"Zhang, Y., Lu, K., Gao, Y., Wang, M.: Neqr: a novel enhanced quantum representation of digital images. Quantum Inf. Process. 12, 2833\u20132860 (2013)","journal-title":"Quantum Inf. Process."},{"issue":"16","key":"4243_CR43","doi-asserted-by":"publisher","first-page":"160501","DOI":"10.1103\/PhysRevLett.100.160501","volume":"100","author":"V Giovannetti","year":"2008","unstructured":"Giovannetti, V., Lloyd, S., Maccone, L.: Quantum random access memory. Phys. Rev. Lett. 100(16), 160501 (2008)","journal-title":"Phys. Rev. Lett."},{"key":"4243_CR44","unstructured":"Grover, L., Rudolph, T.: Creating superpositions that correspond to efficiently integrable probability distributions (2002). arXiv preprint arXiv:quant-ph\/0208112"},{"issue":"1","key":"4243_CR45","doi-asserted-by":"publisher","first-page":"012307","DOI":"10.1103\/PhysRevA.73.012307","volume":"73","author":"AN Soklakov","year":"2006","unstructured":"Soklakov, A.N., Schack, R.: Efficient state preparation for a register of quantum bits. Phys. Rev. A 73(1), 012307 (2006)","journal-title":"Phys. Rev. A"},{"issue":"1","key":"4243_CR46","doi-asserted-by":"publisher","first-page":"013091","DOI":"10.1103\/PhysRevResearch.4.013091","volume":"4","author":"S Ashhab","year":"2022","unstructured":"Ashhab, S.: Quantum state preparation protocol for encoding classical data into the amplitudes of a quantum information processing register\u2019s wave function. Phys. Rev. Res. 4(1), 013091 (2022)","journal-title":"Phys. Rev. Res."},{"key":"4243_CR47","doi-asserted-by":"publisher","first-page":"110659","DOI":"10.1016\/j.automatica.2022.110659","volume":"147","author":"H Ma","year":"2023","unstructured":"Ma, H., Huang, C.-J., Chen, C., Dong, D., Wang, Y., Wu, R.-B., Xiang, G.-Y.: On compression rate of quantum autoencoders: control design, numerical and experimental realization. Automatica 147, 110659 (2023)","journal-title":"Automatica"},{"key":"4243_CR48","unstructured":"Verdon, G., Pye, J., Broughton, M.: A universal training algorithm for quantum deep learning (2018). arXiv preprint arXiv:1806.09729"},{"issue":"3","key":"4243_CR49","doi-asserted-by":"publisher","first-page":"032315","DOI":"10.1103\/PhysRevA.69.032315","volume":"69","author":"F Vatan","year":"2004","unstructured":"Vatan, F., Williams, C.: Optimal quantum circuits for general two-qubit gates. Phys. Rev. A 69(3), 032315 (2004)","journal-title":"Phys. Rev. A"},{"issue":"1","key":"4243_CR50","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1038\/nphys1453","volume":"6","author":"D Hanneke","year":"2010","unstructured":"Hanneke, D., Home, J., Jost, J.D., Amini, J.M., Leibfried, D., Wineland, D.J.: Realization of a programmable two-qubit quantum processor. Nat. Phys. 6(1), 13\u201316 (2010)","journal-title":"Nat. Phys."},{"key":"4243_CR51","unstructured":"Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press (2010)"},{"issue":"4","key":"4243_CR52","doi-asserted-by":"publisher","first-page":"600","DOI":"10.1109\/TIP.2003.819861","volume":"13","author":"Z Wang","year":"2004","unstructured":"Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 13(4), 600\u2013612 (2004)","journal-title":"IEEE Trans. Image Process."},{"key":"4243_CR53","doi-asserted-by":"publisher","first-page":"1189","DOI":"10.1007\/s11128-016-1263-6","volume":"15","author":"S-J Wei","year":"2016","unstructured":"Wei, S.-J., Long, G.-L.: Duality quantum computer and the efficient quantum simulations. Quantum Inf. Process. 15, 1189\u20131212 (2016)","journal-title":"Quantum Inf. Process."},{"issue":"5","key":"4243_CR54","doi-asserted-by":"publisher","first-page":"050505","DOI":"10.1103\/PhysRevLett.109.050505","volume":"109","author":"N Wiebe","year":"2012","unstructured":"Wiebe, N., Braun, D., Lloyd, S.: Quantum algorithm for data fitting. Phys. Rev. Lett. 109(5), 050505 (2012)","journal-title":"Phys. Rev. Lett."}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-023-04243-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-023-04243-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-023-04243-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,9]],"date-time":"2024-11-09T14:18:25Z","timestamp":1731161905000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-023-04243-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,30]]},"references-count":54,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2024,2]]}},"alternative-id":["4243"],"URL":"https:\/\/doi.org\/10.1007\/s11128-023-04243-3","relation":{},"ISSN":["1573-1332"],"issn-type":[{"value":"1573-1332","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,30]]},"assertion":[{"value":"9 August 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 December 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 January 2024","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 have no relevant financial or non-financial interests to disclose.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"41"}}