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Root Estimator of Quantum States

2003/03/03 by Yu. I. Bogdanov, Bogdanov, Yu. I.
Physics and Astronomy · #Data Analysis #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistics and Probability (physics.data-an) #physics.data-an #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0303014

26 pages, 5 figures, minor changes

openalex publication_date 2003/03/03 · arxiv created 2004/06/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The root estimator of quantum states based on the expansion of the psi function in terms of system eigenfunctions followed by estimating the expansion coefficients by the maximum likelihood method is considered. In order to provide statistical completeness of the analysis, it is necessary to perform measurements in mutually complementing experiments (according to the Bohr terminology). Estimation of quantum states by the results of coordinate, momentum, and polarization (spin) measurements is considered.

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