Additivity of the minimal output entropy for the family of transpose depolarizing channels introduced by Fannes et al. is considered. It is shown that using the method of Ref. 3 allows us to prove the additivity for the range of the parameter values for which the problem was left open in Ref. 5. Together with the result of Ref. 5, this covers the whole family of transpose depolarizing channels. In addition, the multiplicativity of the maximal p-norm for this family of channels is proved for all 1 ≤ p ≤ 2.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)