Publication Date: 2023/12/14
Abstract: The research article presents a mathematical framework for Density matrix description based determination of Arithmetic Mean of a set of replicate measurements, using iteratively updated value of a Target mean estimate and formulation of associated Convex Quadratic optimization problems. The solution of the iteratively defined Convex Quadratic optimization problems results in a sequence of optimal estimates of the Arithmetic mean which is used to determine the Arithmetic mean associated with the set of replicate measurements, either as a single iteration optimal value that satisfied the imposed tolerance condition or as the average over the entire set of the generated optimal Arithmetic mean estimates.
Keywords: Density Matrix description associated with mathematical constructs, Completely Positive Trace Preserving transformations, Kraus operators, Basic form Arithmetic mean associated with a set of replicate measurements, General form Arithmetic mean associated with a set of replicate measurements, Convex Quadratic Programming Problem, Karush-Kuhn-Tucker Optimality conditions.
DOI: https://doi.org/10.5281/zenodo.10374855
PDF: https://ijirst.demo4.arinfotech.co/assets/upload/files/IJISRT23DEC213.pdf
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