Non-Abelian Topological Approach to Non-Locality of a Hypergraph State
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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.
Кључне речи:
non-Abelian group / hypergraph state / topological system / non-locality / geometry informationИзвор:
Entropy, 2015, 17, 5, 3376-3399Финансирање / пројекти:
- SigmaPhy organization, [ObAd: 1007211]
DOI: 10.3390/e17053376
ISSN: 1099-4300
WoS: 000356880500042
Scopus: 2-s2.0-84930066794
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Институција/група
VinčaTY - JOUR AU - Berec, Vesna I. PY - 2015 UR - https://vinar.vin.bg.ac.rs/handle/123456789/629 AB - 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. T2 - Entropy T1 - Non-Abelian Topological Approach to Non-Locality of a Hypergraph State VL - 17 IS - 5 SP - 3376 EP - 3399 DO - 10.3390/e17053376 ER -
@article{ author = "Berec, Vesna I.", year = "2015", abstract = "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.", journal = "Entropy", title = "Non-Abelian Topological Approach to Non-Locality of a Hypergraph State", volume = "17", number = "5", pages = "3376-3399", doi = "10.3390/e17053376" }
Berec, V. I.. (2015). Non-Abelian Topological Approach to Non-Locality of a Hypergraph State. in Entropy, 17(5), 3376-3399. https://doi.org/10.3390/e17053376
Berec VI. Non-Abelian Topological Approach to Non-Locality of a Hypergraph State. in Entropy. 2015;17(5):3376-3399. doi:10.3390/e17053376 .
Berec, Vesna I., "Non-Abelian Topological Approach to Non-Locality of a Hypergraph State" in Entropy, 17, no. 5 (2015):3376-3399, https://doi.org/10.3390/e17053376 . .