  Multiple-Input-Multiple-Output (MIMO) communication systems have seen wide
application due to its performance benefits such as multiplexing gain. For MIMO
systems with non-ergodic Gaussian channel, a conjecture regarding its outage
probability has been proposed by Telatar in [1]. This conjecture has been
proved for the special single-output case, and is in general assumed to be
true. In this work, we analyze the special Two-Input-Multiple-Output (TIMO)
case theoretically, and provide a counter-example to the conjecture. The
counter-example is verified both theoretically and by numerical experiments. We
also present a theoretical analysis for general MIMO case, including a method
for calculation. This result rejects the decades-long conjecture and provides
interesting insight into the symmetry of MIMO systems.
