Group theoretic structures in the estimation of an unknown unitary transformation
Quantum Physics
2015-03-17 v2 Mathematical Physics
math.MP
Abstract
This paper presents a series of general results about the optimal estimation of physical transformations in a given symmetry group. In particular, it is shown how the different symmetries of the problem determine different properties of the optimal estimation strategy. The paper also contains a discussion about the role of entanglement between the representation and multiplicity spaces and about the optimality of square-root measurements.
Keywords
Cite
@article{arxiv.1012.2130,
title = {Group theoretic structures in the estimation of an unknown unitary transformation},
author = {G. Chiribella},
journal= {arXiv preprint arXiv:1012.2130},
year = {2015}
}
Comments
15 pages, lecture given at The XXVIII International Colloquium on Group-Theoretical Methods in Physics, 26-30 July 2010, Newcastle upon Tyne (UK)