REVIEW 1 cited by
Quantum channels irreducibly covariant with respect to the finite group generated by the Weyl operators
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original 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.
Forward citations
Cited by 1 Pith paper
-
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.
Discussion (0). Continue with ORCID to comment.