Journal
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Volume 62, Issue 1, Pages -Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-022-05272-x
Keywords
Observational entropy; Tsallis-q entropy; Coarse-graining; Tsallis-q entanglement; Concurrence
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This paper presents relations between observational entropy and other measures based on Tsallis-q entropy. For two-qubit pure states, relations between observational entropy and Tsallis-q entanglement through some monotone function are given and generalized to the two-qubit mixed state for some range of q. The relations between observational entropy and Tsallis-q entanglement of Assistance (TEoA) for some range of q in the case of mixed states are also studied. An estimate of the mean observational entropy of a pure state through the TEoA of a two-qubit mixed state is determined. The results of this paper reveal the relations between a non-entanglement measure (observational entropy) and an entanglement measure (Tsallis-q entanglement and TEoA).
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).
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