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

Abstract

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.

17 pages, the presentation has been improved

References in corpus (3)

• On Weyl channels being covariant with respect to the maximum commutative group of unitaries
• The strong superadditivity conjecture holds for the quantum depolarizing channel in any dimension
• Holevo Capacity of Discrete Weyl Channels

Cited by in corpus (2)

• Engineering classical capacity of generalized Pauli channels with admissible memory kernels
• Parameterizing density operators with arbitrary symmetries to gain advantage in quantum state estimation