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New inequalities for tomographic probability distributions and densitymatrices of qutrit states are obtained by means of generalization of qubitportrait method. The approach based on the qudit portrait method to get newentropic inequalities is proposed. It can be applied to the case of arbutrarynonnegative hermitian matrices including the density matrices of multipartitequdit states.

Generalized qubit portrait of the qutrit state density matrix