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arXiv · 2010.01128

Geometry of symmetric and non-invertible Pauli channels

Katarzyna Siudzińska
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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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BibTeXRIS

Katarzyna Siudzińska. 2020-10-13. Geometry of symmetric and non-invertible Pauli channels. https://doi.org/10.1103/physreva.102.062615

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