# On Shor’s Channel Extension and Constrained Channels

@article{Holevo2004OnSC, title={On Shor’s Channel Extension and Constrained Channels}, author={Alexander S. Holevo and Maksim E. Shirokov}, journal={Communications in Mathematical Physics}, year={2004}, volume={249}, pages={417-430} }

Several equivalent formulations of the additivity conjecture for constrained channels, which formally is substantially stronger than the unconstrained additivity, are given. To this end a characteristic property of the optimal ensemble for such a channel is derived, generalizing the maximal distance property. It is shown that the additivity conjecture for constrained channels holds true for certain nontrivial classes of channels. After giving an algebraic formulation for Shor’s channel… CONTINUE READING

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