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arXiv · 1812.07844

Beyond z=0. The Deutsch-Jozsa decided monochromatic languages

Eraldo Pereira Marinho
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Abstract

The present work points out that the Deutsch-Jozsa algorithm was the first formal description of a quantum decider. In particular, it is studied here the class of languages whose indicator functions allow the Deutsch-Jozsa algorithm to output a monochromatic result, beyond the trivial case z = 0 for constant indicator functions. To illustrate examples of randomly balanced languages and some monochromatic cases, it was performed classical computational simulations of the Deutsch-Jozsa quantum algorithm for the specific cases of 4 and 6 qubits, respectively. The general case of the Deutsch-Jozsa decided languages are named balanced languages, and their outcomes from the simulation suggest that such languages are equivalent to the quantum superposition of the monochromatic cases.

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Eraldo Pereira Marinho. 2018-12-19. Beyond z=0. The Deutsch-Jozsa decided monochromatic languages. https://arxiv.org/abs/1812.07844

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