Geometry of phase-covariant qubit channels
Quantum Physics
2022-11-04 v2 Mathematical Physics
math.MP
Abstract
We analyze the geometry on the space of non-unital phase-covariant qubit maps. Using the corresponding Choi-Jamio{\l}kowski states, we derive the Hilbert-Schmidt line and volume elements using the channel eigenvalues together with the parameter that characterizes non-unitality. We find the shapes and analytically compute the volumes of phase-covariant channels, in particular entanglement breaking and obtainable with time-local generators.
Keywords
Cite
@article{arxiv.2210.17448,
title = {Geometry of phase-covariant qubit channels},
author = {Katarzyna Siudzińska},
journal= {arXiv preprint arXiv:2210.17448},
year = {2022}
}