TY - JOUR

T1 - On classical capacity of Weyl channels

AU - Amosov, Grigori

N1 - Funding Information: This work is supported by the Russian Science Foundation under Grant N 19-11-00086. Publisher Copyright: © 2020, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/11/1

Y1 - 2020/11/1

N2 - We study an old problem concerning the resolution of the question of whether the supremum of the Holevo upper bound for the output of a quantum channel coincides with the classical capacity of this channel. It is shown that this property takes place for one special case. The additivity of minimal output entropy is proved for the Weyl channel obtained by the deformation of a q-c Weyl channel. The classical capacity of channel is calculated.

AB - We study an old problem concerning the resolution of the question of whether the supremum of the Holevo upper bound for the output of a quantum channel coincides with the classical capacity of this channel. It is shown that this property takes place for one special case. The additivity of minimal output entropy is proved for the Weyl channel obtained by the deformation of a q-c Weyl channel. The classical capacity of channel is calculated.

KW - Additivity conjecture

KW - Classical capacity of a channel

KW - Holevo upper bound

KW - Quantum Weyl channel

UR - http://www.scopus.com/inward/record.url?scp=85095573515&partnerID=8YFLogxK

U2 - 10.1007/s11128-020-02900-5

DO - 10.1007/s11128-020-02900-5

M3 - Article

AN - SCOPUS:85095573515

VL - 19

JO - Quantum Information Processing

JF - Quantum Information Processing

SN - 1570-0755

IS - 11

M1 - 401

ER -