On indistinguishability of quantum states

Abstrakt

In this paper we shall study quantum ancillary statistics. For a given quantum measurement M we will define the indistinguishability relation of states in the following way: Two states are indistinguishable by M if they generate withM the same probability measure. For such a relation the equivalence classes will be described. At the end we will give some elementary examples of informationally complete measurements that arise from the theorems characterizing the indistinguishability relation.