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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 \(p\).

MSC:

81P68 Quantum computation
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