# Geometry of generalized Pauli channels

@article{Siudzinska2020GeometryOG, title={Geometry of generalized Pauli channels}, author={Katarzyna Siudzi'nska}, journal={Physical Review A}, year={2020} }

We analyze the geometry of the generalized Pauli channels constructed from the mutually unbiased bases. The Choi-Jamio\l{}kowski isomorphism allows us to express the Hilbert-Schmidt line and volume elements in terms of the eigenvalues of the generalized Pauli maps. After determining appropriate regions of integration, we analytically compute the volume of generalized Pauli channels and their important subclasses. In particular, we obtain the volumes of the generalized Pauli channels that can be…

## One Citation

Log-convex set of Lindblad semigroups acting on N-level system

- MathematicsJournal of Mathematical Physics
- 2021

We analyze the set ${\cal A}_N^Q$ of mixed unitary channels represented in the Weyl basis and accessible by a Lindblad semigroup acting on an $N$-level quantum system. General necessary and…

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