On capacity of quantum channels generated by irreducible projective unitary representations of finite groups

被引：0

作者：

G. G. Amosov

机构：

[1] Steklov Mathematical Institute of Russian Academy of Sciences,

来源：

Quantum Information Processing | 2022年 / 21卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study mixed unitary quantum channels generated by irreducible projective unitary representations of finite groups. Under some assumptions on the probability distribution determining a mixture the classical capacity of the channel is found. Examples illustrating the techniques are given.

引用

共 50 条

[1] On capacity of quantum channels generated by irreducible projective unitary representations of finite groups
Amosov, G. G.
[J]. QUANTUM INFORMATION PROCESSING, 2022, 21 (02)
[2] Groups with faithful irreducible projective unitary representations
Bekka, Bachir
de la Harpe, Pierre
[J]. FORUM MATHEMATICUM, 2013, 25 (03) : 505 - 531
[3] FINITE DIMENSIONALITY OF IRREDUCIBLE UNITARY REPRESENTATIONS OF COMPACT QUANTUM GROUPS
QUAN, XC
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 121 (03) : 851 - 858
[4] Symbols of mixed unitary quantum channels generated by finite unitary groups
Amosov, Grigori G.
Cheremukhin, Danil D.
[J]. INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2024, 22 (05)
[5] IRREDUCIBLE PROJECTIVE REPRESENTATIONS OF FINITE-GROUPS
TAPPE, J
[J]. MANUSCRIPTA MATHEMATICA, 1977, 22 (01) : 33 - 45
[6] FINITE GROUPS WITH IRREDUCIBLE PROJECTIVE REPRESENTATIONS OF LARGE DEGREE
Higgs, R. J.
[J]. COMMUNICATIONS IN ALGEBRA, 2011, 39 (10) : 3897 - 3904
[7] LINEARIZABLE IRREDUCIBLE PROJECTIVE REPRESENTATIONS OF FINITE-GROUPS
KARPILOVSKY, G
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1976, 28 (03) : 541 - 549
[8] DEGREES OF IRREDUCIBLE PROJECTIVE REPRESENTATIONS OF FINITE-GROUPS
NG, HN
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1975, 10 (JUL): : 379 - 384
[9] PROJECTIVE UNITARY - ANTIUNITARY REPRESENTATIONS OF FINITE-GROUPS
JANSSEN, T
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1972, 13 (03) : 342 - &
[10] On operator systems generated by reducible projective unitary representations of compact groups
Amosov, Grigori
[J]. TURKISH JOURNAL OF MATHEMATICS, 2019, 43 (05) : 2366 - 2370

← 1 2 3 4 5 →