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Positive operator valued measures and the quantum Monty Hall problem

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Author(s): Zander Claudia | Casas Montserrat | Plastino Angel | Plastino Angel R.

Journal: Anais da Academia Brasileira de Ciências
ISSN 0001-3765

Volume: 78;
Issue: 3;
Start page: 417;
Date: 2006;
Original page

Keywords: Quantum Measurements | Monty Hall Problem | Quantum Information Theory

ABSTRACT
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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