Additivity for transpose depolarizing channels

Nilanjana Datta; Alexander S. Holevo; Yuri Suhov

doi:10.1142/S0219749906001633

Additivity for transpose depolarizing channels

Nilanjana Datta
, Alexander S. Holevo
, Yuri Suhov

Mathematics

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	85-98
Number of pages	14
Journal	International Journal of Quantum Information
Volume	4
Issue number	1
DOIs	https://doi.org/10.1142/S0219749906001633
State	Published - Feb 2006

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1142/S0219749906001633

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title = "Additivity for transpose depolarizing channels",

abstract = "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.",

author = "Nilanjana Datta and Holevo, \{Alexander S.\} and Yuri Suhov",

note = "Funding Information: The second author acknowledges partial support from the QIS Program of the Newton Institute, and from A. von Humboldt Foundation.",

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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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JF - International Journal of Quantum Information

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Additivity for transpose depolarizing channels

Abstract

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