Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure
Abstract
We define a positive operator valued measure E on [0,2π]× 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.
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