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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
Quantum Simulation
Markovian semigroup from mixing non-invertible dynamical maps
arXiv
Authors: Katarzyna Siudzińska
Year
2020
Paper ID
18842
Status
Preprint
Abstract Read
~2 min
Abstract Words
91
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We analyze the convex combinations of non-invertible generalized Pauli dynamical maps.
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