Statistical Reconstruction of arbitrary spin states of particles: root approach

Details Statistical Reconstruction of arbitrary spin states of particles: root approach Statistical Reconstruction of arbitrary spin states of particles: root approach

2005-09-30

arxiv.org/abs/quant-ph/0509213v1

Physics

Quantum Physics

9 pages, the International Conference "Quantum Information-2005"(QI-2005), Zvenigorod, Moscow district, October 5-6, 2005, A

Scientific paper

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 multi-parametric 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.

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