Abstract
Purification of mixed states in Quantum Mechanics, by which we mean the transformation into pure states, has been viewed as an \{\it Operation\} in the sense of Kraus et al and explicit \{\it Kraus Operators\} \cite\{kra1,kra2,kra3\} have been constructed for two seperate purification protocols. The first one, initially due to Schrodinger \cite\{sch\} and subsequently elaborated by Sudarshan et al \cite\{sudar\}, is based on the \{\it preservation of probabilities\}. We have constructed a second protocol here based on \{\it optimization of fidelities\}. Both purification protocols have been implemented on a single qubit in an attempt to improve the fidelity of the purified post measurement state of the qubit with the initial pure state. We have considered both \{\it complete\} and \{\it partial\} measurements and have established bounds and inequalities for various fidelities. We show that our purification protocol leads to better state reconstruction, most explicitly so, when partial