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.
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