On deciding whether a Boolean function is constant or not

Details On deciding whether a Boolean function is constant or not On deciding whether a Boolean function is constant or not

2003-04-10

arxiv.org/abs/quant-ph/0304073v1

Int. J. Quantum Inf.; Vol.1, No. 2 (2003) 237-246

Physics

Quantum Physics

8 pages, Latex, 5 figures; accepted for publication on International Journal of Quantum Information

Scientific paper

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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