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 principales: Zander, Claudia, Casas, Montserrat, Plastino, Ángel Luis, Plastino, Ángel Ricardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2006
Materias:
Ciencias Exactas
Física
Monty Hall problem
quantum information theory
quantum measurements
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/34725
http://www.scielo.br/pdf/aabc/v78n3/03v78n3.pdf
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
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.

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