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The Role of Covariancy in Calculating Capacity of Quantum Channels Generated by Projective Unitary Representations of Non-Abelian Groups. / Amosov, G.G.; Ryskin, L.A.

In: Lobachevskii Journal of Mathematics, Vol. 45, No. 6, 01.06.2024, p. 2449-2453.

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

Harvard

Amosov, GG & Ryskin, LA 2024, 'The Role of Covariancy in Calculating Capacity of Quantum Channels Generated by Projective Unitary Representations of Non-Abelian Groups', Lobachevskii Journal of Mathematics, vol. 45, no. 6, pp. 2449-2453. https://doi.org/10.1134/s1995080224603102

APA

Amosov, G. G., & Ryskin, L. A. (2024). The Role of Covariancy in Calculating Capacity of Quantum Channels Generated by Projective Unitary Representations of Non-Abelian Groups. Lobachevskii Journal of Mathematics, 45(6), 2449-2453. https://doi.org/10.1134/s1995080224603102

Vancouver

Amosov GG, Ryskin LA. The Role of Covariancy in Calculating Capacity of Quantum Channels Generated by Projective Unitary Representations of Non-Abelian Groups. Lobachevskii Journal of Mathematics. 2024 Jun 1;45(6):2449-2453. https://doi.org/10.1134/s1995080224603102

Author

Amosov, G.G. ; Ryskin, L.A. / The Role of Covariancy in Calculating Capacity of Quantum Channels Generated by Projective Unitary Representations of Non-Abelian Groups. In: Lobachevskii Journal of Mathematics. 2024 ; Vol. 45, No. 6. pp. 2449-2453.

BibTeX

@article{1095c5e1d8c841f5875a3cf41c349fff,
title = "The Role of Covariancy in Calculating Capacity of Quantum Channels Generated by Projective Unitary Representations of Non-Abelian Groups",
abstract = "Abstract: We study quantum channels generated by irreducible projective unitary representations of finite groups. It is shown that to calculate a classical capacity of channel it is not necessary to claim that it is covariant with respect to a representation. It helps to consider non-Abelian groups because in this case such channels are not covariant respect to the generating representation. {\textcopyright} Pleiades Publishing, Ltd. 2024.",
keywords = "mixed unitary channel, non-Abelian group, normal subgroup, projective unitary representation",
author = "G.G. Amosov and L.A. Ryskin",
note = "Export Date: 21 October 2024 Адрес для корреспонденции: Amosov, G.G.; Steklov Mathematical Institute of Russian Academy of SciencesRussian Federation; эл. почта: gramos@mi-ras.ru Адрес для корреспонденции: Ryskin, L.A.; Moscow Institute of Physics and TechnologyRussian Federation; эл. почта: ryskin.la@phystech.edu",
year = "2024",
month = jun,
day = "1",
doi = "10.1134/s1995080224603102",
language = "Английский",
volume = "45",
pages = "2449--2453",
journal = "Lobachevskii Journal of Mathematics",
issn = "1995-0802",
publisher = "Pleiades Publishing",
number = "6",

}

RIS

TY - JOUR

T1 - The Role of Covariancy in Calculating Capacity of Quantum Channels Generated by Projective Unitary Representations of Non-Abelian Groups

AU - Amosov, G.G.

AU - Ryskin, L.A.

N1 - Export Date: 21 October 2024 Адрес для корреспонденции: Amosov, G.G.; Steklov Mathematical Institute of Russian Academy of SciencesRussian Federation; эл. почта: gramos@mi-ras.ru Адрес для корреспонденции: Ryskin, L.A.; Moscow Institute of Physics and TechnologyRussian Federation; эл. почта: ryskin.la@phystech.edu

PY - 2024/6/1

Y1 - 2024/6/1

N2 - Abstract: We study quantum channels generated by irreducible projective unitary representations of finite groups. It is shown that to calculate a classical capacity of channel it is not necessary to claim that it is covariant with respect to a representation. It helps to consider non-Abelian groups because in this case such channels are not covariant respect to the generating representation. © Pleiades Publishing, Ltd. 2024.

AB - Abstract: We study quantum channels generated by irreducible projective unitary representations of finite groups. It is shown that to calculate a classical capacity of channel it is not necessary to claim that it is covariant with respect to a representation. It helps to consider non-Abelian groups because in this case such channels are not covariant respect to the generating representation. © Pleiades Publishing, Ltd. 2024.

KW - mixed unitary channel

KW - non-Abelian group

KW - normal subgroup

KW - projective unitary representation

UR - https://www.mendeley.com/catalogue/7206f733-84e7-387d-b83f-44755863daba/

U2 - 10.1134/s1995080224603102

DO - 10.1134/s1995080224603102

M3 - статья

VL - 45

SP - 2449

EP - 2453

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 6

ER -

ID: 126224424