Cartan-covariant Quantum Channels and the PPT2 conjecture
Abstract
Two-parameter generalizations of depolarizing channels are introduced and studied. These so-called Cartan-covariant channels have a covariance Lie group that forms a Cartan decomposition of SU(D). The regions of completely positive and completely co-positive Cartan-covariant trace-preserving maps are found through a spectral analysis of the Choi state. Furthermore, we prove that the PPT2 conjecture holds for these channels in any dimension.
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