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Fast rate estimation of an unitary operation in SU(d)

Jonas Kahn
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Abstract

We give an explicit procedure based on entangled input states for estimating a $SU(d)$ operation $U$ with rate of convergence $1/N^2$ when sending $N$ particles through the device. We prove that this rate is optimal. We also evaluate the constant $C$ such that the asymptotic risk is $C/N^2$. However other strategies might yield a better const ant $C$.

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Jonas Kahn. 2007-02-05. Fast rate estimation of an unitary operation in SU(d). https://doi.org/10.1103/physreva.75.022326

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