Quantum tomography of arbitrary spin states of particles: root approach

Yu. I. Bogdanov

doi:10.1117/12.683109

31 May 2006 Quantum tomography of arbitrary spin states of particles: root approach

Yu. I. Bogdanov

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.

Citation Download Citation

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

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available