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2 results on '"46N50, 62G05, 81P15"'

1. Quantum Homodyne Tomography as an Informationally Complete Positive Operator Valued Measure

Author

Albini, P., De Vito, E., and Toigo, A.

Subjects
Mathematical Physics, Mathematics - Probability, 46N50, 62G05, 81P15
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
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2. 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

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