Symmetric measurements attaining the accessible information

Authors:
Thomas Decker
Affiliations:
School of Computer Science, McGill University, Montréal, QC, Canada
Venue:
IEEE Transactions on Information Theory
Year:
2009

Citing 4
Cited 0

Elements of information theory

Elements of information theory
Introduction to Linear Optimization

Introduction to Linear Optimization
Decomposing monomial representations of solvable groups

Journal of Symbolic Computation
The adaptive classical capacity of a quantum channel, or Information capacities of three symmetric pure states in three dimensions

IBM Journal of Research and Development

Quantified Score

Hi-index	754.84

Visualization

Abstract

A theorem of Davies shows that for symmetric quantum stales there exists a symmetric positive operator-valued measure (POVM) that has a simple structure and that maximizes the mutual information. To apply this theorem, the representation of the symmetry group has to be irreducible. In the following discussion, similar yet weaker results are obtained for reducible representations. The results are applied to the double trines and it is shown with numerical methods that for these states the pretty good measurement is optimal.