{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,2]],"date-time":"2025-02-02T05:30:32Z","timestamp":1738474232180,"version":"3.35.0"},"reference-count":12,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2008,9]]},"abstract":"<jats:p>In this paper, we present a simple algorithm for representation of statistical data of any origin by complex probability amplitudes. Numerical simulation with Mathematica-6 is performed, cf. [1] and [2] on recent numerical simulation for quantum correlations. The Bloch's sphere is used for the visualization of results of numerical simulation. On the one hand, creation of such a quantum-like (QL) representation and its numerical approval is an important step in clarification of extremely complicated interrelation between classical and quantum randomness. On the other hand, it opens new possibilities for applying the mathematical formalism of QM in other domains of science.<\/jats:p>","DOI":"10.1142\/s1230161208000183","type":"journal-article","created":{"date-parts":[[2008,10,8]],"date-time":"2008-10-08T10:33:28Z","timestamp":1223462008000},"page":"223-230","source":"Crossref","is-referenced-by-count":6,"title":["Algorithm for Quantum-like Representation: Transformation of Probabilistic Data into Vectors on Bloch's Sphere"],"prefix":"10.1142","volume":"15","author":[{"given":"Andrei","family":"Khrennikov","sequence":"first","affiliation":[{"name":"International Center for Mathematical Modeling in Physics and Cognitive Sciences, University of V\u00e4xj\u00f6, S-35195, Sweden"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,1,25]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1140\/epjb\/e2006-00364-9"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cpc.2007.01.007"},{"volume-title":"Mathematical foundations of quantum mechanics","year":"1955","author":"von Neumann J.","key":"rf3"},{"volume-title":"Quantum logic","year":"1998","author":"Svozil K.","key":"rf4"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1142\/1524"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/BF02559668"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1364\/JOSAA.17.002529"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1002\/andp.200310027"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/s10701-005-6511-z"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(01)00568-4"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(02)01846-0"},{"key":"rf12","doi-asserted-by":"crossref","unstructured":"K.\u00a0Svozil, Quantum Theory. Reconsideration of Foundations\u20133\u00a0810 (American Institute of Physics, Melville, NY, 2006)\u00a0pp. 271\u2013279.","DOI":"10.1063\/1.2158729"}],"container-title":["Open Systems &amp; Information Dynamics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1230161208000183","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,1]],"date-time":"2025-02-01T13:56:43Z","timestamp":1738418203000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1230161208000183"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,9]]},"references-count":12,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2012,1,25]]},"published-print":{"date-parts":[[2008,9]]}},"alternative-id":["10.1142\/S1230161208000183"],"URL":"https:\/\/doi.org\/10.1142\/s1230161208000183","relation":{},"ISSN":["1230-1612","1793-7191"],"issn-type":[{"type":"print","value":"1230-1612"},{"type":"electronic","value":"1793-7191"}],"subject":[],"published":{"date-parts":[[2008,9]]}}}