Separation of unistochastic matrices from the double stochastic ones: Recovery of a 3×3 unitary matrix from experimental data

2006/03/29 by Petre Dita, Petre Diţă · 17 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Circular ensemble #Constructive #Experimental data #Matrix (chemical analysis) #Matrix Theory and Algorithms #Matrix algebra #Set (abstract data type) #Sparse and Compressive Sensing Techniques #Statistical and numerical algorithms #Unitary matrix #Unitary state #Unitary transformation #hep-ex #hep-lat #hep-ph #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1063/1.2229424

published in Journal of Mathematical Physics 47(8) (American Institute of Physics) · 28 pages

arxiv created 2006/03/29 · openalex publication_date 2006/08/01 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The aim of the paper is to provide a constructive method for recovering a unitary matrix from experimental data. Since there is a natural immersion of unitary matrices within the set of double stochastic ones, the problem to solve is to find necessary and sufficient criteria that separate the two sets. A complete solution is provided for the three-dimensional case, accompanied by a χ2 test necessary for the reconstruction of a unitary matrix from error affected data.

Citations

• Waiting for the top quark mass,K+→π+νν¯,Bs0-B¯s0mixing, andCPasymmetries inBdecays
• Some results on the parametrization of complex Hadamard matrices
• CP violation and the CKM matrix: assessing the impact of the asymmetric B factories
• Determining the Quark Mixing Matrix fromCP-violating Asymmetries
• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation
• A new approach to a global fit of the CKM matrix
• CP-Violation in the Renormalizable Theory of Weak Interaction
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)