Relations Between Observational Entropy and Other Measures Based on Tsallis-q Entropy

Relations between observational entropy and other measures based on Tsallis-q entropy are presented in this paper. For two-qubit pure states, relations between observational entropy and Tsallis-q entanglement through some monotone function are given. We generalize these relations to the two-qubit mixed state for some range of q. For the case of mixed states, we also study the relations between observational entropy and Tsallis-q entanglement of Assistance (TEoA) for some range of q. An estimate of the mean observational entropy of a pure state through the TEoA of a two-qubit mixed state is determined. These results of this paper reveal the relations between a non-entanglement measure (observational entropy) and an entanglement measure (Tsallis-q entanglement and TEoA).