Group theoretic structures in the estimation of an unknown unitary transformation

Details Group theoretic structures in the estimation of an unknown unitary transformation Group theoretic structures in the estimation of an unknown unitary transformation

2010-12-09

arxiv.org/abs/1012.2130v2

J. Phys. Conf. Ser. 284, 012001 (2011)

Physics

Quantum Physics

15 pages, lecture given at The XXVIII International Colloquium on Group-Theoretical Methods in Physics, 26-30 July 2010, Newca

Scientific paper

10.1088/1742-6596/284/1/012001

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.

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