Yet anther equivalent additivity conjecture

Yet another additivity conjecture

In quantum information theory, there are several important open problems which center around whether certain quantities are additive or not. Especially, additivity conjecture about Holevo capacity and additivity/strong superadditivity conjecture about entanglement of formation have been attracting many researchers. It recently turned out that these are equivalent to the additivity of the minimu...

On Shor ’ s channel extension and constrained channels

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 cer...

Remark on the additivity conjecture for a quantum depolarizing channel

We consider bistochastic quantum channels generated by unitary representations of the discret group. The proof of the additivity conjecture for the quantum depolarizing channel Φ based on the decreasing property of the relative entropy is given. We show that the ad-ditivity conjecture holds for the channel Ξ = Ψ • Φ, where Ψ is the phase damping.

Anther and pollen development: A conserved developmental pathway

Pollen development is a critical step in plant development that is needed for successful breeding and seed formation. Manipulation of male fertility has proved a useful trait for hybrid breeding and increased crop yield. However, although there is a good understanding developing of the molecular mechanisms of anther and pollen anther development in model species, such as Arabidopsis and rice, l...

On the Additivity Conjecture for Channels with Arbitrary Constraints