Geometry of phase-covariant qubit channels
- URL: http://arxiv.org/abs/2210.17448v2
- Date: Wed, 2 Nov 2022 18:28:17 GMT
- Title: Geometry of phase-covariant qubit channels
- Authors: Katarzyna Siudzi\'nska
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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