https://repositorio.ufba.br/handle/ri/15100
metadata.dc.type: | Artigo de Periódico |
Title: | Quasitriangular Hopf algebras, braid groups and quantum entanglement |
Other Titles: | International Journal of Quantum Information |
Authors: | Pinto, Eric Trindade, Marco A. S. Vianna, J. D. M. |
metadata.dc.creator: | Pinto, Eric Trindade, Marco A. S. Vianna, J. D. M. |
Abstract: | The aim of the paper is to provide a method to obtain representations of the braid group through a set of quasitriangular Hopf algebras. In particular, these algebras may be derived from group algebras of cyclic groups with additional algebraic structures. In this context, by using the flip operator, it is possible to construct R-matrices that can be regarded as quantum logic gates capable of preserving quantum entanglement. |
Keywords: | Quantum groups R-matrices Entanglement Cyclic groups |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/15100 |
Issue Date: | 2013 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
File | Description | Size | Format | |
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s0219749913500652.pdf | 172,39 kB | Adobe PDF | View/Open |
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