Remark on the additivity conjecture for a quantum depolarizing channel

Authors:
G. G. Amosov
Affiliations:
Moscow Institute of Physics and Technology, State University, Russia
Venue:
Problems of Information Transmission
Year:
2006

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Abstract

We consider bistochastic quantum channels generated by unitary representations of a discrete group. We give a proof of the additivity conjecture for a quantum depolarizing channel 驴 based on the decreasing property of the relative entropy. We show that the additivity conjecture holds for a channel 驴 = 驴 o 驴, where 驴 is a phase damping channel.