Next Article in Journal
Entropy Approximation in Lossy Source Coding Problem
Next Article in Special Issue
Faster Together: Collective Quantum Search
Previous Article in Journal
Nonlinear Stochastic Control and Information Theoretic Dualities: Connections, Interdependencies and Thermodynamic Interpretations
Previous Article in Special Issue
Stabilization Effects of Dichotomous Noise on the Lifetime of the Superconducting State in a Long Josephson Junction
Open AccessArticle

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

by Vesna Berec 1,2
1
Institute of Nuclear Sciences Vinca, P.O. Box 522, 11000 Belgrade, Serbia
2
University of Belgrade, Studentski trg 1, 11000 Belgrade, Serbia
Academic Editors: Jiannis Pachos, Demosthenes Ellinas, Giorgio Kaniadakis and Antonio M. Scarfone
Entropy 2015, 17(5), 3376-3399; https://doi.org/10.3390/e17053376
Received: 16 February 2015 / Revised: 16 April 2015 / Accepted: 8 May 2015 / Published: 15 May 2015
(This article belongs to the Special Issue Quantum Computation and Information: Multi-Particle Aspects)
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. View Full-Text
Keywords: non-Abelian group; hypergraph state; topological system; non-locality; geometry information non-Abelian group; hypergraph state; topological system; non-locality; geometry information
MDPI and ACS Style

Berec, V. Non-Abelian Topological Approach to Non-Locality of a Hypergraph State. Entropy 2015, 17, 3376-3399.

Show more citation formats Show less citations formats

Article Access Map by Country/Region

1
Only visits after 24 November 2015 are recorded.
Back to TopTop