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

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Abstract

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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Data Availability

The datasets analysed during the current study are available from the corresponding author on reasonable request.

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Acknowledgments

We appreciate Zhu-Jun Zheng and Hai-Tao Ma for their useful discussion.

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  1. Department of Mathematics, South China University of Technology, Guangzhou, 510640, People’s Republic of China

    Xiang Zhou

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  1. Xiang Zhou
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Correspondence to Xiang Zhou.

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Zhou, X. Relations Between Observational Entropy and Other Measures Based on Tsallis-q Entropy. Int J Theor Phys 62, 12 (2023). https://doi.org/10.1007/s10773-022-05272-x

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