Tomographic and improved subadditivity conditions for two qubits and   qudit with j = 3=2
  New entropic inequality for quantum and tomographic Shannon information for system of two qubits is obtained. The inequality relating quantum information and spin-tomographic information for particle with spin j = 3=2 is found. The method to extend the obtained new entropic and information inequalities for one qudit and arbitrary composite system of qudits is suggested. 
V. N. Chernega and O. V. Man'ko
quant-ph