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On deciding whether a Boolean function is constant or not

Fabio Benatti·Luca Marinatto
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Abstract

We study the probability of making an error if, by querying an oracle a fixed number of times, we declare constant a randomly chosen n-bit Boolean function. We compare the classical and the quantum case, and we determine for how many oracle-queries k and for how many bits n one querying procedure is more efficient than the other.

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Fabio Benatti, Luca Marinatto. 2003-04-10. On deciding whether a Boolean function is constant or not. https://arxiv.org/abs/quant-ph/0304073

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