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We consider the natural generalization of the Schr\"{o}dinger equation to Markovian open system dynamics: the so-called the Lindblad equation.
Completely positive dynamical semigroups of n-level systems
V. Gorini, A. Kossakowski, and E. C. G. Sudarshan · 1976
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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