One-qubit purity in terms of the discrete Wigner transform

An explanation and an illustration of the meaning of a discrete phase-space is given. The class of a discrete Wigner transform (DWT) for the specific case of a one-qubit state is introduced. We derive the one-qubit state formalism around its formulation in terms of the DWT in detail. A novel structu...

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Detalles Bibliográficos
Autor: Manuel Ávila Aoki
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:México
Institución:Universidad Autónoma del Estado de México
Repositorio:Redalyc-UAEMEX
OAI Identifier:oai:redalyc.org:10461231006
Acceso en línea:https://www.redalyc.org/articulo.oa?id=10461231006
https://www.redalyc.org/journal/104/10461231006/
https://www.redalyc.org/journal/104/10461231006/html/
https://www.redalyc.org/journal/104/10461231006/10461231006.epub
https://www.redalyc.org/journal/104/10461231006/movil
https://doi.org/10.30878/ces.v27n1a9
Access Level:acceso abierto
Palabra clave:Multidisciplinarias (Ciencias Sociales)
purity
Hilbert space
unbiased bases
Discrete phase space
discrete Wigner transform
Descripción
Sumario:An explanation and an illustration of the meaning of a discrete phase-space is given. The class of a discrete Wigner transform (DWT) for the specific case of a one-qubit state is introduced. We derive the one-qubit state formalism around its formulation in terms of the DWT in detail. A novel structure of a one-qubit purity in terms of the DWT is introduced. We find a criterion for stating when a one-qubit state is either mixed or pure.