Abstract
In this paper, an S-mixing entropy of quantum channels is introduced as a generalization of Ohya’s S-mixing entropy. We investigate several properties of the introduced entropy. Moreover, certain relations between the S-mixing entropy and the existing map and output entropies of quantum channels are investigated as well. These relations allowed us to find certain connections between separable states and the introduced entropy. Hence, there is a sufficient condition to detect entangled states. Moreover, several properties of the introduced entropy are investigated. Besides, entropies of qubit and phase-damping channels are calculated.
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The authors would like to thank anonymous referees for their useful suggestions which allowed us to improve the content of the paper.
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Mukhamedov, F., Watanabe, N. On S-mixing entropy of quantum channels. Quantum Inf Process 17, 148 (2018). https://doi.org/10.1007/s11128-018-1916-8
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DOI: https://doi.org/10.1007/s11128-018-1916-8