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Exact quantum query complexity of $\rm{EXACT}_{k,l}^n$

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arxiv 1608.02374 v2 pith:6MKFKJ7T submitted 2016-08-08 quant-ph cs.CC

classification quant-phcs.CC
keywords exactalgorithmfunctionquantumqueryalwaysbitsblack
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In the exact quantum query model a successful algorithm must always output the correct function value. We investigate the function that is true if exactly $k$ or $l$ of the $n$ input bits given by an oracle are 1. We find an optimal algorithm (for some cases), and a nontrivial general lower and upper bound on the minimum number of queries to the black box.

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