Authors :
Debopam Ghosh
Volume/Issue :
Volume 8 - 2023, Issue 12 - December
Google Scholar :
http://tinyurl.com/4v62stek
Scribd :
http://tinyurl.com/4p7r4myp
DOI :
https://doi.org/10.5281/zenodo.10374855
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.
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.
