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Reciprocal pairs of quantum channels are defined as completely positivetransformations which admit a rigid, distance-preserving, yet notcompletely-positive transformation that allows to reproduce the outcome of onefrom the corresponding outcome of the other. From a classical perspective thesetransmission lines should exhibit the same communication efficiency. This is nolonger the case in the quantum setting: explicit asymmetric behaviours arereported studying the classical communication capacities of reciprocal pairs ofdepolarizing and Weyl-covariant channels.

Asymmetric information capacities of reciprocal pairs of quantum channels