Standard

On Weyl channels being covariant with respect to the maximum commutative group of unitaries. / Amosov, Grigori G.

In: Journal of Mathematical Physics, Vol. 48, No. 1, 012104, 08.04.2007.

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

Harvard

Amosov, GG 2007, 'On Weyl channels being covariant with respect to the maximum commutative group of unitaries', Journal of Mathematical Physics, vol. 48, no. 1, 012104. https://doi.org/10.1063/1.2406054

APA

Amosov, G. G. (2007). On Weyl channels being covariant with respect to the maximum commutative group of unitaries. Journal of Mathematical Physics, 48(1), [012104]. https://doi.org/10.1063/1.2406054

Vancouver

Amosov GG. On Weyl channels being covariant with respect to the maximum commutative group of unitaries. Journal of Mathematical Physics. 2007 Apr 8;48(1). 012104. https://doi.org/10.1063/1.2406054

Author

Amosov, Grigori G. / On Weyl channels being covariant with respect to the maximum commutative group of unitaries. In: Journal of Mathematical Physics. 2007 ; Vol. 48, No. 1.

BibTeX

@article{79aa0b5716b0467cbbd3e036d0220ab8,
title = "On Weyl channels being covariant with respect to the maximum commutative group of unitaries",
abstract = "We investigate the Weyl channels being covariant with respect to the maximum commutative group of unitary operators. This class includes the quantum depolarizing channel and the {"}two-Pauli{"} channel as well. Then, we show that our estimation of the output entropy for a tensor product of the phase damping channel and the identity channel based upon the decreasing property of the relative entropy allows to prove the additivity conjecture for the minimal output entropy for the quantum depolarizing channel in any prime dimension and for the two-Pauli channel in the qubit case.",
author = "Amosov, {Grigori G.}",
year = "2007",
month = apr,
day = "8",
doi = "10.1063/1.2406054",
language = "English",
volume = "48",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics",
number = "1",

}

RIS

TY - JOUR

T1 - On Weyl channels being covariant with respect to the maximum commutative group of unitaries

AU - Amosov, Grigori G.

PY - 2007/4/8

Y1 - 2007/4/8

N2 - We investigate the Weyl channels being covariant with respect to the maximum commutative group of unitary operators. This class includes the quantum depolarizing channel and the "two-Pauli" channel as well. Then, we show that our estimation of the output entropy for a tensor product of the phase damping channel and the identity channel based upon the decreasing property of the relative entropy allows to prove the additivity conjecture for the minimal output entropy for the quantum depolarizing channel in any prime dimension and for the two-Pauli channel in the qubit case.

AB - We investigate the Weyl channels being covariant with respect to the maximum commutative group of unitary operators. This class includes the quantum depolarizing channel and the "two-Pauli" channel as well. Then, we show that our estimation of the output entropy for a tensor product of the phase damping channel and the identity channel based upon the decreasing property of the relative entropy allows to prove the additivity conjecture for the minimal output entropy for the quantum depolarizing channel in any prime dimension and for the two-Pauli channel in the qubit case.

UR - http://www.scopus.com/inward/record.url?scp=34047164384&partnerID=8YFLogxK

U2 - 10.1063/1.2406054

DO - 10.1063/1.2406054

M3 - Article

AN - SCOPUS:34047164384

VL - 48

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

M1 - 012104

ER -

ID: 41888785