Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure

Authors :: Albini, P.
De Vito, E.
Toigo, A.
Publication Year :: 2008
Abstract: We define a positive operator valued measure $E$ on $[0,2\pi]\times R$ describing the measurement of randomly sampled quadratures in quantum homodyne tomography, and we study its probabilistic properties. Moreover, we give a mathematical analysis of the relation between the description of a state in terms of $E$ and the description provided by its Wigner transform.<br />Comment: 9 pages

Subjects :: Mathematical Physics
Mathematics - Probability
46N50, 62G05, 81P15

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