  We investigate the problem of common randomness (CR) generation from discrete
correlated sources aided by one-way communication over single-user
multiple-input multiple-output (MIMO) slow fading channels with additive white
Gaussian noise (AWGN), arbitrary state distribution and with channel state
information available at the receiver side (CSIR). We completely solve the
problem by first characterizing the channel outage capacity of MIMO slow fading
channels for arbitrary state distribution. For this purpose, we also provide an
achievable rate for a specific compound MIMO Gaussian channel. Second, we
define the outage CR capacity of the MIMO slow fading channel and establish a
single-letter characterization of it using our result on its outage
transmission capacity.
