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Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure
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Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure
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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.
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Cited by 1 Pith paper
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A general estimation framework for continuous-variable systems
In continuous-variable quantum estimation, informational completeness is not enough: stable reconstruction needs a positive lower frame bound in a σ-regularized geometry, and quasiprobability singularities (the P func...
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