Minimum-error quantum distinguishability bounds from matrix monotone functions: A comment on “Two-sided estimates of minimum-error distinguishability of mixed quantum states via generalized Holevo–Curlander bounds” [J. Math. Phys. 50, 032106 (2009)]
Jon E. Tyson · Journal of Mathematical Physics · 2009
Matrix monotonicity is used to obtain upper bounds on minimum-error distinguishability of arbitrary ensembles of mixed quantum states. This generalizes one direction of a two-sided bound recently obtained by the author [J. Tyson, J. Math. Phys. 50, 032106 (2009)]. It is shown that the previously obtained special case has unique properties.