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Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure

Abstract

We define a positive operator valued measure EE on [0,2π]×R[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 EE and the description provided by its Wigner transform.Comment: 9 page

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