Positive operator valued measures and the quantum Monty Hall problem

[EN] 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 Mont...

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Detalhes bibliográficos
Autores: Zander, Claudia, Casas, Montserrat, Plastino, Ángel R., Plastino, A.
Formato: artículo
Fecha de publicación:2006
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/7307
Acesso em linha:http://hdl.handle.net/10261/7307
Access Level:acceso abierto
Palavra-chave:Quantum Measurements
Monty Hall Problem
Quantum Information Theory
Descrição
Resumo:[EN] 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.