Algoritmo cuántico para la reconstrucción de estados de espín un medio

dc.contributorFonseca Romero, Karen Milena
dc.contributorGrupo de Óptica E Información Cuántica
dc.creatorGalvis Florez, Cristian Andrey
dc.date.accessioned2022-11-09T14:33:05Z
dc.date.available2022-11-09T14:33:05Z
dc.date.created2022-11-09T14:33:05Z
dc.date.issued2022
dc.identifierhttps://repositorio.unal.edu.co/handle/unal/82668
dc.identifierUniversidad Nacional de Colombia
dc.identifierRepositorio Institucional Universidad Nacional de Colombia
dc.identifierhttps://repositorio.unal.edu.co/
dc.description.abstractLa estimación de estados cuánticos es una tarea importante que se emplea en múltiples protocolos de información cuántica. En este trabajo se considera una familia de operadores unitarios de evolución dependientes de un parámetro (dos parámetros) que permiten la estimación de una componente del espín (todas las componentes del espín) de un sistema de dos niveles. La función de transferencia de tomografía cuántica (qTTF), que corresponde a la traza de la inversa de la matriz de información de Fisher, se usa para cuantificar el rendimiento del estimador. En este trabajo, se optimiza la qTTF para los dos estimadores. El mínimo de la qTTF del modelo de un parámetro se alcanza cuando el poder de entrelazamiento del operador unitario asociado es máximo. Los dos modelos son simulados en una unidad cuántica de procesamiento de IBM. Mientras que la implementación del modelo para estimación de una componente funciona satisfactoriamente, el modelo para la estimación total del espín muestra grandes errores debido a la profundidad del circuito asociado. (Texto tomado de la fuente)
dc.description.abstractQuantum state estimation is an important task of many quantum information protocols. We consider a one-parameter (resp. two-parameter) family of unitary evolution operators which allow the estimation of a single spin component (resp. all spin components) of a two-level system. The quantum tomographic transfer function (qTTF), the average of the trace of the inverse of the Fisher information matrix, is used a quantifier of tomographic performance. In this work, we optimize the qTTF of both estimation models. The minimum of the qTTF of the one-parameter model is attained when the entangling power of the associated unitary operator is maximum. Both models were run on an IBM quantum processing unit. While the implementation of the estimation of a single-spin component is quite satisfactory, the implementation of the whole spin estimation displays rather large errors due to the relatively large depth of the associated circuit.
dc.languagespa
dc.publisherUniversidad Nacional de Colombia
dc.publisherBogotá - Ciencias - Maestría en Ciencias - Física
dc.publisherFacultad de Ciencias
dc.publisherBogotá, Colombia
dc.publisherUniversidad Nacional de Colombia - Sede Bogotá
dc.relationRedCol
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dc.rightsAtribución-NoComercial 4.0 Internacional
dc.rightshttp://creativecommons.org/licenses/by-nc/4.0/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.titleAlgoritmo cuántico para la reconstrucción de estados de espín un medio
dc.typeTrabajo de grado - Maestría


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