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- W4289244013 abstract "We consider approximating of the median of absolutely continuous distribution given by a probability density function $f$. We assume that $f$ has $r$ continuous derivatives, with derivative of order $r$ being Holder continuous with the exponent $rho$. We study the $epsilon$-complexity of this problem in the quantum setting. We show that the $epsilon$-complexity up to logarithmic factor is of order $epsilon^{-1/((r+rho+1))}$." @default.
- W4289244013 created "2022-08-01" @default.
- W4289244013 creator A5074771016 @default.
- W4289244013 date "2018-11-25" @default.
- W4289244013 modified "2023-09-24" @default.
- W4289244013 title "On the quantum complexity of approximating median of continuous distribution" @default.
- W4289244013 doi "https://doi.org/10.48550/arxiv.1811.10017" @default.
- W4289244013 hasPublicationYear "2018" @default.
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