Parallel Treatment of Estimation of SU(2) and Phase Estimation

Masahito Hayashi

doi:10.1063/1.1834432

Parallel Treatment of Estimation of SU(2) and Phase Estimation

Quantum Physics 2009-11-10 v3

Authors: Masahito Hayashi

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Abstract

We discuss the accuracy of the estimation of the $n$ identical unknown actions of $\SU(2)$ by using entanglement. This problem has a similar structure with the phase estimation problem, which was discussed by Bu\v{z}ek, Derka, and Massar\cite{BDM}. The estimation error asymptotically decreases to zero with an order of $\frac{1}{n^2}$ at least.

Keywords

SU(2) estimation phase estimation entanglement quantum estimation theory asymptotic error

Cite

@article{arxiv.quant-ph/0407053,
  title  = {Parallel Treatment of Estimation of SU(2) and Phase Estimation},
  author = {Masahito Hayashi},
  journal= {arXiv preprint arXiv:quant-ph/0407053},
  year   = {2009}
}

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