Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure

P. Albini; E. De Vito; A. Toigo

doi:10.1088/1751-8113/42/29/295302

Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure

Mathematical Physics 2015-05-13 v1 math.MP Probability

Authors: P. Albini , E. De Vito , A. Toigo

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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.

Keywords

quantum tomography quantum measurement quantum state space

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@article{arxiv.0807.3437,
  title  = {Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure},
  author = {P. Albini and E. De Vito and A. Toigo},
  journal= {arXiv preprint arXiv:0807.3437},
  year   = {2015}
}

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9 pages

Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure

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