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1 Correction to: Quantum Information Processing (2019), 18:318 https://doi.org/10.1007/s11128-019-2430-3
The original version of this article unfortunately contained an error in the proof of Theorem 13. The correct transformation of the proof of Theorem 13 is as follows,
$$ \begin{aligned} (1 - \alpha )^{ - 1} { \log }\mathop \sum \limits_{n,k} (\lambda_{n} \mu_{k}^{\left( n \right)} )^{\alpha } & = (1 - \alpha )^{ - 1} { \log }\mathop \sum \limits_{n} (\lambda_{n} )^{\alpha } \mathop \sum \limits_{k} (\mu_{k}^{\left( n \right)} )^{\alpha } \\ & \ge (1 - \alpha )^{ - 1} { \log }\mathop \sum \limits_{n} (\lambda_{n} )^{\alpha } \\ & = {\text{S}}_{\alpha }^{K\left( \theta \right)} \left( \varphi \right) \\ \end{aligned} $$
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Mukhamedov, F., Ohmura, K. & Watanabe, N. Correction to: A formulation of Rényi entropy on C*-algebras. Quantum Inf Process 19, 114 (2020). https://doi.org/10.1007/s11128-020-2618-6
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DOI: https://doi.org/10.1007/s11128-020-2618-6