Abstract
In d=2j+1 dimensions, the Landau-Streater quantum channel is defined on the basis of spin j representation of the su(2) algebra. Only for j=1, this channel is equivalent to the Werner-Holevo channel and enjoys covariance properties with respect to the group SU(3). We extend this class of channels to higher dimensions in a way which is based on the Lie algebra so(d) and su(d). As a result it retains its equivalence to the Werner-Holevo channel in arbitrary dimensions. The resulting channel is covariant with respect to the unitary group SU(d). We then modify this channel in a way which can act as a noisy channel on qudits. The resulting modified channel now interpolates between the identity channel and the Werner-Holevo channel and its covariance is reduced to the subgroup of orthogonal matrices SO(d). We then investigate some of the propeties of the resulting two-parameter family of channels, including their spectrum, their regions of lack of indivisibility, their Holevo quantity, entanglement-assisted capacity and the closed form of their complement channel and a possible lower bound for their quantum capacity.