TY - JOUR
T1 - Additivity for transpose depolarizing channels
AU - Datta, Nilanjana
AU - Holevo, Alexander S.
AU - Suhov, Yuri
N1 - Funding Information:
The second author acknowledges partial support from the QIS Program of the Newton Institute, and from A. von Humboldt Foundation.
PY - 2006/2
Y1 - 2006/2
N2 - 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.
AB - 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.
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U2 - 10.1142/S0219749906001633
DO - 10.1142/S0219749906001633
M3 - Article
AN - SCOPUS:33746358508
SN - 0219-7499
VL - 4
SP - 85
EP - 98
JO - International Journal of Quantum Information
JF - International Journal of Quantum Information
IS - 1
ER -