Related papers: Geometry of symmetric and non-invertible Pauli channels

Geometry of symmetric and non-invertible Pauli channels

URL: http://arxiv.org/abs/2010.01128v2
Date: Tue, 13 Oct 2020 02:42:15 GMT
Title: Geometry of symmetric and non-invertible Pauli channels
Authors: Katarzyna Siudzi\'nska
Abstract summary: We analyze positive and completely positive, trace preserving Pauli maps that are fully determined by up to two distinct parameters. Using the Hilbert-Schmidt metric in the space of the Choi-Jamiolkowski states, we compute the relative volumes of entanglement breaking, time-local generated, and divisible channels.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We analyze the geometry of positive and completely positive, trace preserving Pauli maps that are fully determined by up to two distinct parameters. This includes five classes of symmetric and non-invertible Pauli channels. Using the Hilbert-Schmidt metric in the space of the Choi-Jamio\lkowski states, we compute the relative volumes of entanglement breaking, time-local generated, and divisible channels. Finally, we find the shapes of the complete positivity regions in relation to the tetrahedron of all Pauli channels.

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