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Geometry and curvature of spin networks

Jonckheere, E., Schirmer, S. G. and Langbein, Frank Curd ORCID: 2011. Geometry and curvature of spin networks. Presented at: 2011 IEEE Multi-Conference on Systems and Control, Denver, CO, USA, 28-30 September 2011. 2011 IEEE International Conference on Control Applications (CCA). Los Alamitos, CA: IEEE, pp. 786-791. 10.1109/CCA.2011.6044395

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A measure for the maximum quantum information transfer capacity (ITC) between nodes of a spin network is defined, and shown to induce a metric on a space of equivalence classes of nodes for homogeneous chains with XX and Heisen-berg couplings. The geometry and curvature of spin chains with respect of this metric are studied and compared to the physical network geometry. For general networks hierarchical clustering is used to elucidate the proximity of nodes with regard to the maximum ITC. Finally, it is shown how minimal control can be used to overcome intrinsic limitations and speed up information transfer.

Item Type: Conference or Workshop Item (Paper)
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Publisher: IEEE
ISBN: 9781457710629
Last Modified: 20 Oct 2022 09:23

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