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Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure

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arxiv 0807.3437 v1 pith:SVA3SUH7 submitted 2008-07-22 math-ph math.MPmath.PR

P. Albini , E. De Vito , A. Toigo This is my paper · ORCID
classification math-phmath.MPmath.PR
keywords descriptionhomodynemeasureoperatorpositivequantumtomographyvalued
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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.

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  1. A general estimation framework for continuous-variable systems

    quant-ph 2026-07 conditional novelty 7.0 of 10

    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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