Geodesic
On the multiplicativity hypothesis for quantum communication channels
Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 1, pp. 143-146

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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 $p$.
Keywords: quantum communication channel, additivity problem for channel capacity, multiplicativity of the norms, depolarizing channel. 
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     author = {G. G. Amosov and A. S. Holevo},
     title = {On the multiplicativity hypothesis for quantum communication channels},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2002_47_1_a9/}
}
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G. G. Amosov; A. S. Holevo. On the multiplicativity hypothesis for quantum communication channels. Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 1, pp. 143-146. http://geodesic.mathdoc.fr/item/TVP_2002_47_1_a9/