On Shor's channel extension and constrained channels

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  • 29 June 2003
Abstract
Recently P. Shor gave arguments which show that conjectured additivity properties for several quantum information quantities are in fact equivalent. An important new tool in these arguments is the construction of special extension for an arbitrary quantum channel which has a desired property lacking for the initial channel. In this note we show that a slightly generalized version of this extension allows to deal with the additivity conjecture for quantum channels with arbitrary linear constraints. This also gives a simple way to see that the additivity conjecture for the channel capacity implies the additivity of the entanglement of formation.

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