Related papers: Cartan-covariant Quantum Channels and the PPT$^{2}$ conjecture

Cartan-covariant Quantum Channels and the PPT$^{2}$ conjecture

URL: http://arxiv.org/abs/2501.03959v2
Date: Wed, 08 Jan 2025 22:00:55 GMT
Title: Cartan-covariant Quantum Channels and the PPT$^{2}$ conjecture
Abstract summary: We show that Cartan-covariant channels have a covariance Lie group that forms a Cartan decomposition of SU$(D)$.<n>The regions of completely positive and completely co-positive Cartan-covariant trace-preserving maps are found through a spectral analysis of the Choi state.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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 PPT$^{2}$ conjecture holds for these channels in any dimension.

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