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Finding the Kraus Decomposition from a Master Equation and Vice Versa

Andersson, Erika; Cresser, James D; Hall, Michael

Description

For any master equation which is local in time, whether Markovian, non-Markovian, of Lindblad form or not, a general procedure is given for constructing the corresponding linear map from the initial state to the state at time t, including its Kraus-type representations. Formally, this is equivalent to solving the master equation. For an N-dimensional Hilbert space it requires (i) solving a first order N2N2 matrix time evolution (to obtain the completely positive map), and (ii) diagonalizing a...[Show more]

CollectionsANU Research Publications
Date published: 2007
Type: Journal article
URI: http://hdl.handle.net/1885/24737
Source: Journal of Modern Optics
DOI: 10.1080/09500340701352581

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