I have a problem that is really important for my thesis and i am not studding math so i will be very glad if you help me in this case... thanks for your help in advance

I want to find permutation matrix $P$ which minimizes $\mathrm{trace}(P C P^T D)$, when $C$ and $D$ are given quadratic symmetric matrices.

sorry if its not clear enough

in the link below i found a similar question but there is a bit difference and that is that here we work with permutation matrices.but sorrily i can not come to conclusion:(