Symmetric measurements attaining the accessible information

Details Symmetric measurements attaining the accessible information Symmetric measurements attaining the accessible information

2005-09-19

arxiv.org/abs/quant-ph/0509122v1

Physics

Quantum Physics

21 pages, 5 figures

Scientific paper

A theorem of Davies states that for symmetric quantum states there exists a symmetric POVM maximizing the mutual information. To apply this theorem the representation of the symmetry group has to be irreducible. We obtain a similar yet weaker result for reducible representations. We apply our results to the double trines ensemble and show numerically that for this ensemble the pretty good measurement is optimal.

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