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arXiv:1706.10041 · Physical Review A

Memory kernel approach to generalized Pauli channels: Markovian, semi-Markov, and beyond

Katarzyna Siudzińska, Dariusz Chruściński

Published Aug 25, 2017• 25 citations
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Abstract

In this paper we analyze the evolution of generalized Pauli channels governed by the memory kernel master equation. We provide necessary and sufficient conditions for the memory kernel to give rise to 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.

DOI
10.1103/physreva.96.022129

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In this paper we analyze the evolution of generalized Pauli channels governed by the memory kernel master equation. We provide necessary and sufficient conditions for the memory kernel to give rise to 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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