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The problem of channel coding over the Gaussian multiple-inputmultiple-output (MIMO) broadcast channel (BC) with additive independentGaussian states is considered. The states are known in a noncausal manner tothe encoder, and it wishes to minimize the amount of information that thereceivers can learn from the channel outputs about the state sequence. Thestate leakage rate is measured as a normalized blockwise mutual informationbetween the state sequence and the channel outputs' sequences. We employ a newversion of a state-dependent extremal inequality and show that Gaussian inputmaximizes the state-dependent version of Marton's outer bound. Further we showthat our inner bound coincides with the outer bound. Our result generalizespreviously studied scalar Gaussian BC with state and MIMO BC without state.

Broadcasting Information subject to State Masking over a MIMO State Dependent Gaussian Channel