Amosov, G. G.; Kholevo, A. S. On the multiplicativity hypothesis for quantum communication channels. (English. Russian original) Zbl 1040.81005 Theory Probab. Appl. 47, No. 1, 123-127 (2002); translation from Teor. Veroyatn. Primen. 47, No. 1, 143-146 (2002). Summary: A formulation of the multiplicativity hypothesis for quantum communication channels is given, the validity of which for parameter values \(p\), arbitrarily close to 1, implies a positive solution of the fundamental additivity problem for channel capacity in quantum information theory. A proof of this hypothesis is given for depolarizing channels in the case of integer \(p\). Cited in 2 ReviewsCited in 7 Documents MSC: 81P68 Quantum computation Keywords:quantum communication channel; additivity problem for channel capacity; multiplicativity of the norms; depolarizing channel PDFBibTeX XMLCite \textit{G. G. Amosov} and \textit{A. S. Kholevo}, Theory Probab. Appl. 47, No. 1, 123--127 (2002; Zbl 1040.81005); translation from Teor. Veroyatn. Primen. 47, No. 1, 143--146 (2002) Full Text: DOI