{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T11:27:40Z","timestamp":1740137260239,"version":"3.37.3"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2023,5,26]],"date-time":"2023-05-26T00:00:00Z","timestamp":1685059200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,5,26]],"date-time":"2023-05-26T00:00:00Z","timestamp":1685059200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"Centro de Investigaci\u00e1n en Matem\u00e1ticas"},{"DOI":"10.13039\/501100013395","name":"Sistema Nacional de Investigadores","doi-asserted-by":"publisher","award":["41594"],"award-info":[{"award-number":["41594"]}],"id":[{"id":"10.13039\/501100013395","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100004316","name":"International Business Machines Corporation","doi-asserted-by":"publisher","award":["IBM Cloud Credit Award 1027LA"],"award-info":[{"award-number":["IBM Cloud Credit Award 1027LA"]}],"id":[{"id":"10.13039\/100004316","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Quantum Inf Process"],"DOI":"10.1007\/s11128-023-03972-9","type":"journal-article","created":{"date-parts":[[2023,5,26]],"date-time":"2023-05-26T14:02:18Z","timestamp":1685109738000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["A new definition of hitting time and an embedded Markov chain in continuous-time quantum walks"],"prefix":"10.1007","volume":"22","author":[{"given":"Miguel A.","family":"Ruiz-Ortiz","sequence":"first","affiliation":[]},{"given":"Ehyter M.","family":"Mart\u00edn-Gonz\u00e1lez","sequence":"additional","affiliation":[]},{"given":"Diego","family":"Santiago-Alarcon","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7444-4534","authenticated-orcid":false,"given":"Salvador E.","family":"Venegas-Andraca","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,5,26]]},"reference":[{"issue":"2","key":"3972_CR1","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"},{"key":"3972_CR2","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, 180501 (2009)","journal-title":"Phys. Rev. Lett."},{"issue":"4","key":"3972_CR3","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 81(4), 042330 (2010)","journal-title":"Phys. Rev. A"},{"issue":"4","key":"3972_CR4","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 82(4), 042304 (2010)","journal-title":"Phys. Rev. A"},{"key":"3972_CR5","doi-asserted-by":"publisher","DOI":"10.1017\/cbo9780511814075","volume-title":"Randomized Algorithms","author":"R Motwani","year":"1995","unstructured":"Motwani, R., Raghavan, P.: Randomized Algorithms. Cambridge University Press, Cambridge (1995). https:\/\/doi.org\/10.1017\/cbo9780511814075"},{"key":"3972_CR6","volume-title":"Probability and Computing: Randomization and Probabilistic Techniques in Algorithms and Data Analysis","author":"M Mitzenmacher","year":"2017","unstructured":"Mitzenmacher, M., Upfal, E.: Probability and Computing: Randomization and Probabilistic Techniques in Algorithms and Data Analysis, 2nd edn. Cambridge University Press, Cambridge (2017)","edition":"2"},{"key":"3972_CR7","doi-asserted-by":"publisher","first-page":"444","DOI":"10.1038\/srep00444","volume":"2","author":"GD Paparo","year":"2012","unstructured":"Paparo, G.D., Martin-Delgado, M.A.: Google in a quantum network. Sci. Rep. 2, 444 (2012). https:\/\/doi.org\/10.1038\/srep00444","journal-title":"Sci. Rep."},{"issue":"5","key":"3972_CR8","doi-asserted-by":"publisher","first-page":"1015","DOI":"10.1007\/s11128-012-0432-5","volume":"11","author":"SE Venegas-Andraca","year":"2012","unstructured":"Venegas-Andraca, S.E.: Quantum walks: a comprehensive review. Quantum Inf. Process. 11(5), 1015\u20131106 (2012)","journal-title":"Quantum Inf. Process."},{"key":"3972_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-6336-8","volume-title":"Quantum Walks and Search Algorithms","author":"R Portugal","year":"2013","unstructured":"Portugal, R.: Quantum Walks and Search Algorithms. Springer, Berlin (2013)"},{"key":"3972_CR10","volume-title":"An Introduction to Stochastic Modelling","author":"S Karlin","year":"1998","unstructured":"Karlin, S., Taylor, H.M.: An Introduction to Stochastic Modelling, 3rd edn. Academic Press, New York (1998)","edition":"3"},{"issue":"2","key":"3972_CR11","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1007\/s00440-004-0423-2","volume":"133","author":"J Kempe","year":"2005","unstructured":"Kempe, J.: Discrete quantum walks hit exponentially faster. Probab. Theory Relat. Fields 133(2), 215\u2013235 (2005). https:\/\/doi.org\/10.1007\/s00440-004-0423-2","journal-title":"Probab. Theory Relat. Fields"},{"issue":"3","key":"3972_CR12","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.73.032341","volume":"73","author":"H Krovi","year":"2006","unstructured":"Krovi, H., Brun, T.A.: Hitting time for quantum walks on the hypercube. Phys. Rev. A 73(3), 032341 (2006). https:\/\/doi.org\/10.1103\/physreva.73.032341","journal-title":"Phys. Rev. A"},{"issue":"2","key":"3972_CR13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.78.022324","volume":"78","author":"M Varbanov","year":"2008","unstructured":"Varbanov, M., Krovi, H., Brun, T.A.: Hitting time for the continuous quantum walk. Phys. Rev. A 78(2), 022324 (2008)","journal-title":"Phys. Rev. A"},{"issue":"5","key":"3972_CR14","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.79.052317","volume":"79","author":"A Kempf","year":"2009","unstructured":"Kempf, A., Portugal, R.: Group velocity of discrete-time quantum walks. Phys. Rev. A 79(5), 052317 (2009). https:\/\/doi.org\/10.1103\/physreva.79.052317","journal-title":"Phys. Rev. A"},{"key":"3972_CR15","volume-title":"A Probability Path","author":"S Resnick","year":"1999","unstructured":"Resnick, S.: A Probability Path. Birkh\u00e4user, Boston (1999)"},{"key":"3972_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0387-2","volume-title":"Adventures in Stochastic Processes","author":"SI Resnick","year":"2002","unstructured":"Resnick, S.I.: Adventures in Stochastic Processes. Birkh\u00e4user, Boston (2002). https:\/\/doi.org\/10.1007\/978-1-4612-0387-2"},{"issue":"2","key":"3972_CR17","doi-asserted-by":"publisher","first-page":"915","DOI":"10.1103\/physreva.58.915","volume":"58","author":"E Farhi","year":"1998","unstructured":"Farhi, E., Gutmann, S.: Quantum computation and decision trees. Phys. Rev. A 58(2), 915\u2013928 (1998). https:\/\/doi.org\/10.1103\/physreva.58.915","journal-title":"Phys. Rev. A"},{"issue":"10","key":"3972_CR18","doi-asserted-by":"publisher","first-page":"4029","DOI":"10.1007\/s11128-016-1373-1","volume":"15","author":"TG Wong","year":"2016","unstructured":"Wong, T.G., Tarrataca, L., Nahimov, N.: Laplacian versus adjacency matrix in quantum walk search. Quantum Inf. Process. 15(10), 4029\u20134048 (2016). https:\/\/doi.org\/10.1007\/s11128-016-1373-1","journal-title":"Quantum Inf. Process."},{"key":"3972_CR19","volume-title":"Probability and Random Processes","author":"G Grimmett","year":"2020","unstructured":"Grimmett, G., Stirzaker, D.: Probability and Random Processes. Oxford University Press, Oxford (2020)"},{"key":"3972_CR20","unstructured":"Ruiz-Ortiz, M.A.: Quantum hitting time. GitHub (2022). https:\/\/github.com\/miguelruor\/quantum_hitting_time"},{"issue":"1\/2","key":"3972_CR21","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1023\/a:1019609420309","volume":"1","author":"AM Childs","year":"2002","unstructured":"Childs, A.M., Farhi, E., Gutmann, S.: An example of the difference between quantum and classical random walks. Quantum Inf. Process. 1(1\/2), 35\u201343 (2002). https:\/\/doi.org\/10.1023\/a:1019609420309","journal-title":"Quantum Inf. Process."},{"issue":"2","key":"3972_CR22","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.70.022314","volume":"70","author":"AM Childs","year":"2004","unstructured":"Childs, A.M., Goldstone, J.: Spatial search by quantum walk. Phys. Rev. A 70(2), 022314 (2004). https:\/\/doi.org\/10.1103\/physreva.70.022314","journal-title":"Phys. Rev. A"},{"issue":"1","key":"3972_CR23","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1007\/s10255-003-0090-6","volume":"19","author":"C Su","year":"2003","unstructured":"Su, C., Tang, Q.: Characterization on heavy-tailed distributions by means of hazard rate. Acta Math. Appl. Sin. Engl. Ser. 19(1), 135\u2013142 (2003). https:\/\/doi.org\/10.1007\/s10255-003-0090-6","journal-title":"Acta Math. Appl. Sin. Engl. Ser."},{"issue":"1","key":"3972_CR24","first-page":"119","volume":"3","author":"J Pickands","year":"1975","unstructured":"Pickands, J.: Statistical inference using extreme order statistics. Ann. Stat. 3(1), 119\u2013131 (1975)","journal-title":"Ann. Stat."},{"issue":"1","key":"3972_CR25","doi-asserted-by":"publisher","first-page":"753","DOI":"10.1007\/s11009-020-09779-w","volume":"23","author":"EM Mart\u00edn-Gonz\u00e1lez","year":"2021","unstructured":"Mart\u00edn-Gonz\u00e1lez, E.M., Kolkovska, E.T., Murillo-Salas, A.: Approximation of the equilibrium distribution via extreme value theory: an application to insurance risk. Methodol. Comput. Appl. Probab. 23(1), 753\u2013766 (2021). https:\/\/doi.org\/10.1007\/s11009-020-09779-w","journal-title":"Methodol. Comput. Appl. Probab."},{"issue":"172","key":"3972_CR26","doi-asserted-by":"publisher","first-page":"20200567","DOI":"10.1098\/rsif.2020.0567","volume":"17","author":"D Santiago-Alarcon","year":"2020","unstructured":"Santiago-Alarcon, D., Tapia-McClung, H., Lerma-Hern\u00e1ndez, S., Venegas-Andraca, S.E.: Quantum aspects of evolution: a contribution towards evolutionary explorations of genotype networks via quantum walks. J. R. Soc. Interface 17(172), 20200567 (2020). https:\/\/doi.org\/10.1098\/rsif.2020.0567","journal-title":"J. R. Soc. Interface"}],"container-title":["Quantum Information Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-023-03972-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11128-023-03972-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11128-023-03972-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,10]],"date-time":"2023-06-10T15:20:24Z","timestamp":1686410424000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11128-023-03972-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,5,26]]},"references-count":26,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2023,5]]}},"alternative-id":["3972"],"URL":"https:\/\/doi.org\/10.1007\/s11128-023-03972-9","relation":{},"ISSN":["1573-1332"],"issn-type":[{"type":"electronic","value":"1573-1332"}],"subject":[],"published":{"date-parts":[[2023,5,26]]},"assertion":[{"value":"4 November 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 May 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 May 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"All authors declare that they have no conflicts of interest.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"224"}}