Grudka, Andrzej; Horodecki, Michał; Pankowski, Łukasz Constructive counterexamples to the additivity of the minimum output Rényi entropy of quantum channels for all \(p > 2\). (English) Zbl 1201.81026 J. Phys. A, Math. Theor. 43, No. 42, Article ID 425304, 7 p. (2010). Summary: We present a constructive example of the violation of the additivity of minimum output Rényi entropy for each \(p > 2\). The example is provided by an antisymmetric subspace of a suitable dimension. We discuss the possibility of extension of the result to go beyond \(p > 2\) and obtain additivity for \(p = 0\) for a class of entanglement breaking channels. Cited in 14 Documents MSC: 81P45 Quantum information, communication, networks (quantum-theoretic aspects) 94A40 Channel models (including quantum) in information and communication theory 94A17 Measures of information, entropy PDFBibTeX XMLCite \textit{A. Grudka} et al., J. Phys. A, Math. Theor. 43, No. 42, Article ID 425304, 7 p. (2010; Zbl 1201.81026) Full Text: DOI arXiv