  We want in this article to show the usefulness of Quantum Turing Machine
(QTM) in a high-level didactic context as well as in theoretical studies. We
use QTM to show its equivalence with quantum circuit model for Deutsch and
Deutsch-Jozsa algorithms. Further we introduce a strategy of translation from
Quantum Circuit to Quantum Turing models by these examples. Moreover we
illustrate some features of Quantum Computing such as superposition from a QTM
point of view and starting with few simple examples very known in Quantum
Circuit form.
