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Complex Analysis and Related Topics (satelllite of ICM-2022)
July 1, 2022 17:40, Kazan, Kazan (Volga Region) Federal University


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

G. G. Amosov



Abstract: The report is devoted to research initiated in [1-2]. 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.
This work was funded by Russian Federation represented by the Ministry of Science and Higher Education (grant No. 075-15-2020-788)

Language: English

References
  1. Amosov G.G., “On capacity of quantum channels generated by irreducible projective unitary representations of finite groups”, Quantum Inf. Process, 21:81 (2022), 15 pp.
  2. Amosov G.G., “On classical capacity of Weyl channels”, Quantum Inf. Process, 19:401 (2020), 11 pp.


© Steklov Math. Inst. of RAS, 2026