1. Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure
- Author
-
Alessandro Toigo, Paolo Albini, and Ernesto De Vito
- Subjects
Statistics and Probability ,46N50, 62G05, 81P15 ,Relation (database) ,Operator (physics) ,Probability (math.PR) ,Measure (physics) ,Probabilistic logic ,FOS: Physical sciences ,General Physics and Astronomy ,Statistical and Nonlinear Physics ,Mathematical Physics (math-ph) ,State (functional analysis) ,Direct-conversion receiver ,Modeling and Simulation ,FOS: Mathematics ,Tomography ,Statistical physics ,Quantum ,Mathematical Physics ,Mathematics - Probability ,Mathematics - 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., Comment: 9 pages
- Published
- 2008