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

Physics – Quantum Physics

Scientific paper

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8 pages, 1 figure Rewritten version, accepted for publication in Phys. Rev. A. The introduction is richer, the "tool section"

Scientific paper

10.1103/PhysRevA.75.022326

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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