Non-Abelian Topological Approach to Non-Locality of a Hypergraph State

Entropy

Vesna Berec²  Jiannis Pachos¹  Demosthenes Ellinas¹  Giorgio Kaniadakis¹ 

[1] Institute of Nuclear Sciences Vinca, P.O. Box 522, 11000 Belgrade, Serbia, E-Mail;Institute of Nuclear Sciences Vinca, P.O. Box 522, 11000 Belgrade, Serbia, E-Mail:

关键词: non-Abelian group;    hypergraph state;    topological system;    non-locality;    geometry information;   

DOI  :  10.3390/e17053376

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland