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.
International Journal of Quantum Information
- Pub Date:
- February 2014
- Minkowski like inequality;
- entropic inequalities;
- Quantum Physics
- 9 pages, 4 figures. It is material of poster at the conference "Advances in Foundations of Quantum Mechanics and Quantum Information with atoms and photons". It will be sent to International Journal of Quantum Information