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Deformed Subadditivity Condition for Qudit States and Hybrid Positive Maps |
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| Authors: | Margarita A. Man’ko Vladimir I. Man’ko |
| Affiliation: | 1. P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia 2. Moscow Institute of Physics and Technology (State University), Institutskií per. 9, Dolgoprudnyí, Moscow Region, 141700, Russia |
| Abstract: | We extend the subadditivity condition for q-deformed entropy of a bipartite quantum system to the case of an arbitrary quantum system including the single qudit state. We present the subadditivity condition for the density matrix of the single qutrit state in an explicit form. We obtain the inequality for the purity parameters of a bipartite quantum system and its subsystems. We propose a positive map construction using the fiducial density matrix. |
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