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The authors consider the Gaussian Multiple-Input Multiple-Output (MIMO) multi-receiver wiretap channel, and derive the secrecy capacity region of this channel for the most general case. They first prove the secrecy capacity region of the degraded MIMO channel, in which all receivers have the same number of antennas, and the noise covariance matrices exhibit a positive semi-definite order. They then generalize this result to the aligned case, in which all receivers have the same number of antennas; however there is no order among the noise covariance matrices. They accomplish this task by using the channel enhancement technique. Finally, they find the secrecy capacity region of the general MIMO channel by using some limiting arguments on the secrecy capacity region of the aligned MIMO channel.
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