Fourier Analytic Approach to Quantum Estimation of Group Action
Quantum Physics
2016-09-28 v3
Abstract
This article proposes a unified method to estimation of group action by using the inverse Fourier transform of the input state. The method provides optimal estimation for commutative and non-commutative group with/without energy constraint. The proposed method can be applied to projective representations of non-compact groups as well as of compact groups. This paper addresses the optimal estimation of R, U(1), SU(2), SO(3), and R^2 with Heisenberg representation under a suitable energy constraint.
Cite
@article{arxiv.1209.3463,
title = {Fourier Analytic Approach to Quantum Estimation of Group Action},
author = {Masahito Hayashi},
journal= {arXiv preprint arXiv:1209.3463},
year = {2016}
}
Comments
Summary of obtained results with energy constraints were added