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

dc.creatorKahn, Jonas
dc.date2006-03-13
dc.date2007-02-05
dc.date.accessioned2026-07-07T08:28:53Z
dc.date.available2026-07-07T08:28:53Z
dc.descriptionWe 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 $C$.
dc.description8 pages, 1 figure Rewritten version, accepted for publication in Phys. Rev. A. The introduction is richer, the "tool section" on group representations has been suppressed, and a section proving that the 1/N^2 rate is optimum has been added
dc.identifierhttps://arxiv.org/abs/quant-ph/0603115
dc.identifierhttp://arxiv.org/abs/quant-ph/0603115
dc.identifierPhysical Review A 75, 022326, 2007
dc.identifierdoi:10.1103/PhysRevA.75.022326
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137780
dc.subjectQuantum Physics
dc.titleFast rate estimation of an unitary operation in SU(d)
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