Statistical Reconstruction of arbitrary spin states of particles: root approach

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.

9 pages, the International Conference "Quantum Information-2005"(QI-2005), Zvenigorod, Moscow district, October 5-6, 2005, Accepted for publication in Proc. of SPIE

References in corpus (9)

• Maximum-likelihood estimation of the density matrix
• Qutrit state engineering with biphotons
• Statistical Reconstruction of Qutrits
• Parameters estimation in quantum optics
• Quantum Mechanical View of Mathematical Statistics
• Root Estimator of Quantum States
• Statistical Inverse Problem
• Preparation of arbitrary qutrit state based on biphotons
• Quantum States Estimation: Root Approach