Speaker
Description
Recently, classical capacity of quantum channels generated by projective unitary irreducible representations of finite group was calculated for some strong limitations of the group structure, on the representation $U_g$, on the probability distribution $\pi_g$, on the finite group $G$ and finally that the obtained channel $\Phi_G$ has to be covariant with respect
to representation $U_g$.
The channel $\Phi_G$ is not always covariant regarding to representation $U_g$ when the group $G$ is not abelian --
it depends on $\pi_g$. But, fortunately, the limitation of covariance of the quantum channel $\Phi_G$ can be omitted if other conditions are preserved.
In addition, the real example of such non covariant quantum channel will be given on the group $S_4\times S_3$.
