dorsal/arxiv
View SchemaStatistical Reconstruction of arbitrary spin states of particles: root approach
| Authors | Yu. I. Bogdanov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509213 |
| URL | https://arxiv.org/abs/quant-ph/0509213 |
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 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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"abstract": "A method of quantum tomography of arbitrary spin particle states is developed\non the basis of the root approach. It is shown that the set of mutually\ncomplementary distributions of angular momentum projections can be naturally\ndescribed by a set of basis functions based on the Kravchuk polynomials. The\nset of Kravchuk basis functions leads to a multi-parametric statistical\ndistribution that generalizes the binomial distribution. In order to analyze a\nstatistical inverse problem of quantum mechanics, we investigated the\nlikelihood equation and the statistical properties of the obtained estimates.\nThe conclusions of the analytical researches are approved by the results of\nnumerical calculations.",
"arxiv_id": "quant-ph/0509213",
"authors": [
"Yu. I. Bogdanov"
],
"categories": [
"quant-ph"
],
"title": "Statistical Reconstruction of arbitrary spin states of particles: root approach",
"url": "https://arxiv.org/abs/quant-ph/0509213"
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