Paolo Albini et al 2009 J. Phys. A: Math. Theor. 42 295302 doi:10.1088/1751-8113/42/29/295302
Quantum homodyne tomography as an informationally complete positive-operator-valued measure
Paolo Albini1,3, Ernesto De Vito2,3 and Alessandro Toigo1,3
Show affiliationsWe define a positive-operator-valued measure E on ![[0,2\pi] \times {\bb R}](http://ej.iop.org/images/1751-8121/42/29/295302/jpa315901ieqn1.gif)
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.
- PACS
- MSC
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81R15 Operator algebra methods (See also 46Lxx, 81T05)
81S30 Phase space methods including Wigner distributions, etc.
44A12 Radon transform (See also 92C55)
60Bxx Probability theory on algebraic and topological structures
- Subjects
- Dates
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Issue 29 (24 July 2009)
Received 20 April 2009, in final form 25 May 2009
Published 3 July 2009
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Quantum homodyne tomography as an informationally complete positive-operator-valued measure
Paolo Albini et al 2009 J. Phys. A: Math. Theor. 42 295302
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