Positive operator valued measures and the quantum Monty Hall problem

A quantum version of the Monty Hall problem, based upon the Positive Operator Valued Measures (POVM) formalism, is proposed. It is shown that basic normalization and symmetry arguments lead univocally to the associated POVM elements, and that the classical probabilities associated with the Monty Hal...

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Detalles Bibliográficos
Autores: Zander, Claudia, Casas, Montserrat, Plastino, Ángel Luis, Plastino, Ángel Ricardo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2006
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/34725
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/34725
Access Level:acceso abierto
Palabra clave:Ciencias Exactas
Física
Monty Hall problem
quantum information theory
quantum measurements
Descripción
Sumario:A quantum version of the Monty Hall problem, based upon the Positive Operator Valued Measures (POVM) formalism, is proposed. It is shown that basic normalization and symmetry arguments lead univocally to the associated POVM elements, and that the classical probabilities associated with the Monty Hall scenario are recovered for a natural choice of the measurement operators.