The paper derives lower and upper Holevo capacity bounds for generalized Pauli channels and obtains exact classical capacities for Pauli channels and symmetric two-parameter channels.
Quantum channels irreducibly covariant with respect to the finite group generated by the Weyl operators
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abstract
We introduce a class of linear maps irreducibly covariant with respect to the finite group generated by the Weyl operators. This group provides a direct generalization of the quaternion group. In particular, we analyze the irreducibly covariant quantum channels; that is, the completely positive and trace-preserving linear maps. Interestingly, imposing additional symmetries leads to the so-called generalized Pauli channels, which were recently considered in the context of the non-Markovian quantum evolution. Finally, we provide examples of irreducibly covariant positive but not necessarily completely positive maps.
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2019 1verdicts
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Classical capacity of the generalized Pauli channels
The paper derives lower and upper Holevo capacity bounds for generalized Pauli channels and obtains exact classical capacities for Pauli channels and symmetric two-parameter channels.