Markovian semigroup from mixing non-invertible dynamical maps

Katarzyna Siudzińska

doi:10.1103/physreva.103.022605

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arXiv · 2012.00385

Markovian semigroup from mixing non-invertible dynamical maps

Katarzyna Siudzińska

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Abstract

We analyze the convex combinations of non-invertible generalized Pauli dynamical maps. By manipulating the mixing parameters, one can produce a channel with shifted singularities, additional singularities, or even no singularities whatsoever. In particular, we show how to use non-invertible dynamical maps to produce the Markovian semigroup. Interestingly, the maps whose mixing results in a semigroup are generated by the time-local generators and time-homogeneous memory kernels that are not regular; i.e., their formulas contain infinities. Finally, we show how the generators and memory kernels change after mixing the corresponding dynamical maps.

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Katarzyna Siudzińska. 2020-12-01. Markovian semigroup from mixing non-invertible dynamical maps. https://doi.org/10.1103/physreva.103.022605

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