Quantum Queries on Permutations with a Promise

@inproceedings{Freivalds2009QuantumQO,
  title={Quantum Queries on Permutations with a Promise},
  author={Rusins Freivalds and Kazuo Iwama},
  booktitle={CIAA},
  year={2009}
}
This paper studies quantum query complexities for deciding (exactly or with probability 1.0) the parity of permutations of n numbers, 0 through n *** 1. Our results show quantum mechanism is quite strong for this non-Boolean problem as it is for several Boolean problems: (i) For n = 3, we need a single query in the quantum case whereas we obviously need two queries deterministically. (ii) For even n , n /2 quantum queries are sufficient whereas we need n *** 1 queries deterministically. (iii… 

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