{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T01:32:47Z","timestamp":1777599167099,"version":"3.51.4"},"reference-count":63,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2015,5,15]],"date-time":"2015-05-15T00:00:00Z","timestamp":1431648000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We present a theoretical study of new families of stochastic complex information modules encoded in the hypergraph states which are defined by the fractional entropic descriptor. The essential connection between the Lyapunov exponents and d-regular hypergraph fractal set is elucidated. To further resolve the divergence in the complexity of classical and quantum representation of a hypergraph, we have investigated the notion of non-amenability and its relation to combinatorics of dynamical self-organization for the case of fractal system of free group on finite generators. The exact relation between notion of hypergraph non-locality and quantum encoding through system sets of specified  non-Abelian fractal geometric structures is presented. Obtained results give important impetus towards designing of approximation algorithms for chip imprinted circuits in scalable quantum information systems.<\/jats:p>","DOI":"10.3390\/e17053376","type":"journal-article","created":{"date-parts":[[2015,5,15]],"date-time":"2015-05-15T07:57:02Z","timestamp":1431676622000},"page":"3376-3399","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Non-Abelian Topological Approach to Non-Locality of a Hypergraph State"],"prefix":"10.3390","volume":"17","author":[{"given":"Vesna","family":"Berec","sequence":"first","affiliation":[{"name":"Institute of Nuclear Sciences Vinca, P.O. Box 522, 11000 Belgrade, Serbia"},{"name":"University of Belgrade, Studentski trg 1, 11000 Belgrade,  Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2015,5,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"335303","DOI":"10.1088\/1751-8113\/47\/33\/335303","article-title":"Entanglement and nonclassical properties of hypergraph states","volume":"47","author":"Cuquet","year":"2014","journal-title":"J. Phys. A"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Katok, A., and Hasselblatt, B. (1995). Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press.","DOI":"10.1017\/CBO9780511809187"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Hasselblatt, B., and Katok, A. (2003). 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