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Springer eBooks

Statistical Methods in Quantum Optics 1

H. J. Carmichael

Published Jan 1, 1999• 1,077 citations
Publisher
DOI
10.1007/978-3-662-03875-8

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The procedure of measurement followed by the reconstruction of the quantum state of a three-level optical system is implemented for a frequency-and spatially degenerate two-photon field. The method of statistical estimation of the quantum state from a solution to the likelihood equation and the analysis of the statistical properties of the obtained estimators is developed. Using the root method of estimating quantum states, the initial two-photon (qutrit) wave function is reconstructed from the measured fourth-order field moments.