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Physical Sciences • An. Acad. Bras. Ciênc. 78 (3) • Sept 2006 • https://doi.org/10.1590/S0001-37652006000300003 linkcopy

Open-access Positive operator valued measures and the quantum Monty Hall problem

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    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.

    Quantum Measurements; Monty Hall Problem; Quantum Information Theory

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