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31 May 2006 Quantum tomography of arbitrary spin states of particles: root approach
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Proceedings Volume 6264, Quantum Informatics 2005; 626403 (2006) https://doi.org/10.1117/12.683109
Event: Quantum Informatics 2005, 2005, Moscow, Russian Federation
Abstract
A method of quantum tomography of arbitrary spin particle states is developed on the basis of the root approach. It is shown that the set of mutually complementary distributions of angular momentum projections can be naturally described by a set of basis functions based on the Kravchuk polynomials. The set of Kravchuk basis functions leads to a multiparametric statistical distribution that generalizes the binomial distribution. In order to analyze a statistical inverse problem of quantum mechanics, we investigated the likelihood equation and the statistical properties of the obtained estimates. The conclusions of the analytical researches are approved by the results of numerical calculations.
© (2006) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Yu. I. Bogdanov "Quantum tomography of arbitrary spin states of particles: root approach", Proc. SPIE 6264, Quantum Informatics 2005, 626403 (31 May 2006); https://doi.org/10.1117/12.683109
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