On the Connection between Deutsch-Jozsa Algorithm and Bent Functions

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2021-02-03

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Marinho, Eraldo Pereira [UNESP]

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It is presently shown that the Deutsch-Jozsa algorithm is connected to the concept of bent function. Particularly, it is noticeable that the quantum circuit used to denote the well-known quantum algorithm is by itself the quantum computer that performs the Walsh transform of a Boolean function. Consequently, the output from the Deutsch-Jozsa algorithm when the hidden function is bent corresponds to a flat spectrum of quantum states.

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Journal of Physics: Conference Series, v. 1730, n. 1, 2021.