Minimum-error quantum distinguishability boundsfrom matrix monotone functions: A commenton 'Two-sided estimates of minimum-errordistinguishability of mixed quantum statesvia generalized Holevo-Curlander bounds'[J. Math. Phys. 50, 032106 (2009)]

摘要

Matrix monotonicity is used to obtain upper bounds on minimum-error distinguish-ability of arbitrary ensembles of mixed quantum states. This generalizes one direc-tion 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 uniqueproperties