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

Jonas Kahn

quant-pharXiv:quant-ph/0603115

Abstract

We give an explicit procedure based on entangled input states for estimating a SU(d) operation U with rate of convergence 1/N2 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/N2. However other strategies might yield a better const ant C.

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