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Open Quantum Systems Decoherence
Memory kernel approach to generalized Pauli channels: Markovian, semi-Markov, and beyond
arXiv
Authors: Katarzyna Siudzińska, Dariusz Chruściński
Year
2017
Paper ID
44885
Status
Preprint
Abstract Read
~2 min
Abstract Words
82
Citations
N/A
Abstract
In this paper, we analyze the evolution of the generalized Pauli channels governed by the memory kernel master equation. We provide necessary and sufficient conditions for the memory kernel to give rise to the legitimate (completely positive and trace-preserving) quantum evolution. In particular, we analyze a class of kernels generating the quantum semi-Markov evolution, which is a natural generalization of the Markovian semigroup. Interestingly, the convex combination of Markovian semigroups goes beyond the semi-Markov case. Our analysis is illustrated with several examples.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- In this paper, we analyze the evolution of the generalized Pauli channels governed by the memory kernel master equation.
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