Simultaneous decomposition of two states

Simultaneous decompositions of a pair of states into pure ones are examined. There are privileged decompositions which are distinguished from all the other ones.Comment: 7 page

THE NUMBER OF ORTHOGONAL CONJUGATIONS

After a short introduction to anti-linearity, bounds for the number of orthogonal (skew) conjugations are proved. They are saturated if the dimension of the Hilbert space is a power of two. For other dimensions this is an open problem