Universality of geometric quantum computing three-state model

The three-state model is a geometric quantum computing model. It is illustrated that this is a universal quantum computing model, based on the work developed by Niskanen, Nakahara and Salomaa [16]. The universals U (2) and U (2n≥ 1) of the model are obtained from the construction of the Rx (α) and R...

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Autores:
Sicard, Andrés
Vélez, Mario Elkin
Tipo de recurso:
Fecha de publicación:
2005
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
spa
OAI Identifier:
oai:repository.eafit.edu.co:10784/14575
Acceso en línea:
http://hdl.handle.net/10784/14575
Palabra clave:
Geometric Quantum Computing
Universal Quantum Gates
Three-State Model
Computación Cuántica Geométrica
Compuertas Cuánticas Universales
Modelo De Tres Estados
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Copyright (c) 2005 Andrés Sicard, Mario Elkin Vélez
Description
Summary:The three-state model is a geometric quantum computing model. It is illustrated that this is a universal quantum computing model, based on the work developed by Niskanen, Nakahara and Salomaa [16]. The universals U (2) and U (2n≥ 1) of the model are obtained from the construction of the Rx (α) and R (α) rotation gates, and the Hadamard H and B phase (η) gates ), respectively. For each gate, it is explicitly presented operator Holonomy ΓAy (γ) and γ cycle on which it is constructed.