New Minkowski type inequalities and entropic inequalities for quantum states of qudits

  title={New Minkowski type inequalities and entropic inequalities for quantum states of qudits},
  author={Vladimir I. Man'ko and L. A. Markovich},
  journal={International Journal of Quantum Information},
The two-parameter Minkowski like inequality written for composite quantum system state is obtained for arbitrary Hermitian non-negative matrix with trace equal to unity. The inequality can be used as entropic and information inequality for density matrix of noncomposite finite quantum system, e.g. for a single qudit state. The analogs of strong subadditivity condition for the single qudit is discussed in context of obtained Minkowski like inequality. 
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