Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure

Details Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure

2008-07-22

arxiv.org/abs/0807.3437v1

Physics

Mathematical Physics

9 pages

Scientific paper

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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