{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,29]],"date-time":"2025-11-29T11:20:36Z","timestamp":1764415236689,"version":"3.46.0"},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"11","license":[{"start":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T00:00:00Z","timestamp":1761004800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T00:00:00Z","timestamp":1761004800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["NS2023047","NS2023047"],"award-info":[{"award-number":["NS2023047","NS2023047"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-025-04957-6","type":"journal-article","created":{"date-parts":[[2025,10,21]],"date-time":"2025-10-21T10:04:39Z","timestamp":1761041079000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Efficient preparation method for arbitrary multiqubit states based on quantum walk"],"prefix":"10.1007","volume":"24","author":[{"given":"Dan","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lei","family":"Zhong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,10,21]]},"reference":[{"key":"4957_CR1","doi-asserted-by":"crossref","unstructured":"Kitaev, A.Y., Shen, A.H., Vyalyi, M.N.: Classical and quantum computation. In: Graduate Studies in Mathematics (2002). https:\/\/api.semanticscholar.org\/CorpusID:265878561","DOI":"10.1090\/gsm\/047"},{"key":"4957_CR2","unstructured":"Mande, N.S., Wolf, R.: Tight bounds for quantum phase estimation and related problems. arXiv preprint arXiv:2305.04908 (2023)"},{"issue":"15","key":"4957_CR3","doi-asserted-by":"publisher","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."},{"key":"4957_CR4","doi-asserted-by":"crossref","unstructured":"Gily\u00e9n, A., Su, Y., Low, G.H., Wiebe, N.: Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics. In: Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, pp. 193\u2013204 (2019)","DOI":"10.1145\/3313276.3316366"},{"issue":"13","key":"4957_CR5","doi-asserted-by":"publisher","first-page":"1895","DOI":"10.1103\/PhysRevLett.70.1895","volume":"70","author":"CH Bennett","year":"1993","unstructured":"Bennett, C.H., Brassard, G., Cr\u00e9peau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and einstein-podolsky-rosen channels. Phys. Rev. Lett. 70(13), 1895 (1993)","journal-title":"Phys. Rev. Lett."},{"issue":"16","key":"4957_CR6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.87.167902","volume":"87","author":"H Buhrman","year":"2001","unstructured":"Buhrman, H., Cleve, R., Watrous, J., De Wolf, R.: Quantum fingerprinting. Phys. Rev. Lett. 87(16), 167902 (2001)","journal-title":"Phys. Rev. Lett."},{"key":"4957_CR7","doi-asserted-by":"crossref","unstructured":"Huang, J., Zhuang, M., Lee, C.: Entanglement-enhanced quantum metrology: from standard quantum limit to heisenberg limit. Applied Physics Reviews 11(3) (2024)","DOI":"10.1063\/5.0204102"},{"key":"4957_CR8","doi-asserted-by":"publisher","DOI":"10.1016\/j.cosrev.2021.100419","volume":"41","author":"K Kadian","year":"2021","unstructured":"Kadian, K., Garhwal, S., Kumar, A.: Quantum walk and its application domains: a systematic review. Comput. Sci. Rev. 41, 100419 (2021)","journal-title":"Comput. Sci. Rev."},{"issue":"2","key":"4957_CR9","doi-asserted-by":"publisher","first-page":"1687","DOI":"10.1103\/PhysRevA.48.1687","volume":"48","author":"Y Aharonov","year":"1993","unstructured":"Aharonov, Y., Davidovich, L., Zagury, N.: Quantum random walks. Phys. Rev. A 48(2), 1687 (1993)","journal-title":"Phys. Rev. A"},{"issue":"18","key":"4957_CR10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.102.180501","volume":"102","author":"AM Childs","year":"2009","unstructured":"Childs, A.M.: Universal computation by quantum walk. Phys. Rev. Lett. 102(18), 180501 (2009)","journal-title":"Phys. Rev. Lett."},{"issue":"6121","key":"4957_CR11","doi-asserted-by":"publisher","first-page":"791","DOI":"10.1126\/science.1229957","volume":"339","author":"AM Childs","year":"2013","unstructured":"Childs, A.M., Gosset, D., Webb, Z.: Universal computation by multiparticle quantum walk. Science 339(6121), 791\u2013794 (2013)","journal-title":"Science"},{"issue":"4","key":"4957_CR12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.81.042330","volume":"81","author":"NB Lovett","year":"2010","unstructured":"Lovett, N.B., Cooper, S., Everitt, M., Trevers, M., Kendon, V.: Universal quantum computation using the discrete-time quantum walk. Phys. Rev. A-Atomic, Mole. Opt. Phys. 81(4), 042330 (2010)","journal-title":"Phys. Rev. A-Atomic, Mole. Opt. Phys."},{"issue":"4","key":"4957_CR13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.82.042304","volume":"82","author":"MS Underwood","year":"2010","unstructured":"Underwood, M.S., Feder, D.L.: Universal quantum computation by discontinuous quantum walk. Phys. Rev. A-Atomic, Mole. Opt. Phys. 82(4), 042304 (2010)","journal-title":"Phys. Rev. A-Atomic, Mole. Opt. Phys."},{"issue":"1","key":"4957_CR14","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1137\/S0097539705447311","volume":"37","author":"A Ambainis","year":"2007","unstructured":"Ambainis, A.: Quantum walk algorithm for element distinctness. SIAM J. Comput. 37(1), 210\u2013239 (2007)","journal-title":"SIAM J. Comput."},{"key":"4957_CR15","unstructured":"Wong, T.G.: Unstructured search by random and quantum walk. arXiv preprint arXiv:2011.14533 (2020)"},{"issue":"2","key":"4957_CR16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.104.022216","volume":"104","author":"S Marsh","year":"2021","unstructured":"Marsh, S., Wang, J.: Deterministic spatial search using alternating quantum walks. Phys. Rev. A 104(2), 022216 (2021)","journal-title":"Phys. Rev. A"},{"issue":"2","key":"4957_CR17","doi-asserted-by":"publisher","first-page":"413","DOI":"10.1137\/050643684","volume":"37","author":"F Magniez","year":"2007","unstructured":"Magniez, F., Santha, M., Szegedy, M.: Quantum algorithms for the triangle problem. SIAM J. Comput. 37(2), 413\u2013424 (2007)","journal-title":"SIAM J. Comput."},{"issue":"18","key":"4957_CR18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.183602","volume":"103","author":"P Xue","year":"2009","unstructured":"Xue, P., Sanders, B.C., Leibfried, D.: Quantum walk on a line for a trapped ion. Phys. Rev. Lett. 103(18), 183602 (2009)","journal-title":"Phys. Rev. Lett."},{"issue":"9","key":"4957_CR19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.090504","volume":"103","author":"H Schmitz","year":"2009","unstructured":"Schmitz, H., Matjeschk, R., Schneider, C., Glueckert, J., Enderlein, M., Huber, T., Schaetz, T.: Quantum walk of a trapped ion in phase space. Phys. Rev. Lett. 103(9), 090504 (2009)","journal-title":"Phys. Rev. Lett."},{"issue":"10","key":"4957_CR20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.121.100502","volume":"121","author":"C Chen","year":"2018","unstructured":"Chen, C., Ding, X., Qin, J., He, Y., Luo, Y.-H., Chen, M.-C., Liu, C., Wang, X.-L., Zhang, W.-J., Li, H.: Observation of topologically protected edge states in a photonic two-dimensional quantum walk. Phys. Rev. Lett. 121(10), 100502 (2018)","journal-title":"Phys. Rev. Lett."},{"issue":"5","key":"4957_CR21","doi-asserted-by":"publisher","first-page":"3174","DOI":"10.1126\/sciadv.aat3174","volume":"4","author":"H Tang","year":"2018","unstructured":"Tang, H., Lin, X.-F., Feng, Z., Chen, J.-Y., Gao, J., Sun, K., Wang, C.-Y., Lai, P.-C., Xu, X.-Y., Wang, Y.: Experimental two-dimensional quantum walk on a photonic chip. Sci. Adv. 4(5), 3174 (2018)","journal-title":"Sci. Adv."},{"issue":"6442","key":"4957_CR22","doi-asserted-by":"publisher","first-page":"753","DOI":"10.1126\/science.aaw1611","volume":"364","author":"Z Yan","year":"2019","unstructured":"Yan, Z., Zhang, Y.-R., Gong, M., Wu, Y., Zheng, Y., Li, S., Wang, C., Liang, F., Lin, J., Xu, Y.: Strongly correlated quantum walks with a 12-qubit superconducting processor. Science 364(6442), 753\u2013756 (2019)","journal-title":"Science"},{"issue":"6545","key":"4957_CR23","doi-asserted-by":"publisher","first-page":"948","DOI":"10.1126\/science.abg7812","volume":"372","author":"M Gong","year":"2021","unstructured":"Gong, M., Wang, S., Zha, C., Chen, M.-C., Huang, H.-L., Wu, Y., Zhu, Q., Zhao, Y., Li, S., Guo, S.: Quantum walks on a programmable two-dimensional 62-qubit superconducting processor. Science 372(6545), 948\u2013952 (2021)","journal-title":"Science"},{"issue":"6","key":"4957_CR24","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.96.062326","volume":"96","author":"L Innocenti","year":"2017","unstructured":"Innocenti, L., Majury, H., Giordani, T., Spagnolo, N., Sciarrino, F., Paternostro, M., Ferraro, A.: Quantum state engineering using one-dimensional discrete-time quantum walks. Phys. Rev. A 96(6), 062326 (2017)","journal-title":"Phys. Rev. A"},{"issue":"6","key":"4957_CR25","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.95.062326","volume":"95","author":"M Montero","year":"2017","unstructured":"Montero, M.: Quantum and random walks as universal generators of probability distributions. Phys. Rev. A. 95(6), 062326 (2017)","journal-title":"Phys. Rev. A."},{"issue":"1","key":"4957_CR26","doi-asserted-by":"publisher","first-page":"70","DOI":"10.1038\/s41534-021-00401-6","volume":"7","author":"M Li","year":"2021","unstructured":"Li, M., Shang, Y.: Entangled state generation via quantum walks with multiple coins. npj Quant. Inf. 7(1), 70 (2021)","journal-title":"npj Quant. Inf."},{"issue":"1","key":"4957_CR27","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.108.012607","volume":"108","author":"G Kadiri","year":"2023","unstructured":"Kadiri, G.: Steered discrete-time quantum walks for engineering of quantum states. Phys. Rev. A 108(1), 012607 (2023)","journal-title":"Phys. Rev. A"},{"issue":"3","key":"4957_CR28","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.109.032229","volume":"109","author":"J Nie","year":"2024","unstructured":"Nie, J., Li, M., Sun, X.: Multipartite high-dimensional quantum state engineering via discrete-time quantum walk. Phys. Rev. A 109(3), 032229 (2024)","journal-title":"Phys. Rev. A"},{"issue":"1","key":"4957_CR29","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1007\/s42484-024-00160-5","volume":"6","author":"Y-J Chang","year":"2024","unstructured":"Chang, Y.-J., Wang, W.-T., Chen, H.-Y., Liao, S.-W., Chang, C.-R.: A novel approach for quantum financial simulation and quantum state preparation. Quant. Mach. Int. 6(1), 24 (2024)","journal-title":"Quant. Mach. Int."},{"issue":"10","key":"4957_CR30","doi-asserted-by":"publisher","first-page":"3301","DOI":"10.1109\/TCAD.2023.3244885","volume":"42","author":"X Sun","year":"2023","unstructured":"Sun, X., Tian, G., Yang, S., Yuan, P., Zhang, S.: Asymptotically optimal circuit depth for quantum state preparation and general unitary synthesis. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 42(10), 3301\u20133314 (2023)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"key":"4957_CR31","unstructured":"Cuccaro, S.A., Draper, T.G., Kutin, S.A., Moulton, D.P.: A new quantum ripple-carry addition circuit. arXiv preprint quant-ph\/0410184 (2004)"},{"key":"4957_CR32","unstructured":"Draper, T.G.: Addition on a quantum computer. arXiv preprint quant-ph\/0008033 (2000)"},{"key":"4957_CR33","unstructured":"Draper, T.G., Kutin, S.A., Rains, E.M., Svore, K.M.: A logarithmic-depth quantum carry-lookahead adder. arXiv preprint quant-ph\/0406142 (2004)"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-025-04957-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-025-04957-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-025-04957-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,29]],"date-time":"2025-11-29T11:17:34Z","timestamp":1764415054000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-025-04957-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,10,21]]},"references-count":33,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2025,11]]}},"alternative-id":["4957"],"URL":"https:\/\/doi.org\/10.1007\/s11128-025-04957-6","relation":{},"ISSN":["1573-1332"],"issn-type":[{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2025,10,21]]},"assertion":[{"value":"4 August 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 October 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 October 2025","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 conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"343"}}