Maximization of capacity and l p norms for some product channels

  title={Maximization of capacity and l p norms for some product channels},
  author={Christopher King},
It is conjectured that the Holevo capacity of a product channel Ω ⊗ Φ is achieved when product states are used as input. Amosov, Holevo and Werner have also conjectured that the maximal l p norm of a product channel is achieved with product input states. In this paper we establish both of these conjectures in the case that Ω is arbitrary and Φ is a CQ or QC channel (as defined by Holevo). We also establish the Amosov, Holevo and Werner conjecture when Ω is arbitrary and either Φ is a qubit… CONTINUE READING
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