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Open Quantum Systems Decoherence
Geometry of symmetric and non-invertible Pauli channels
arXiv
Authors: Katarzyna Siudzińska
Year
2020
Paper ID
20244
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
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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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- We analyze the geometry of positive and completely positive, trace preserving Pauli maps that are fully determined by up to two distinct parameters.
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