Abstract
We discuss the problem of identification of the dynamical generators for open two-level quantum systems in a Markovian environment. Based on Bloch sphere representation, the identification problem is converted to the estimation of a 3-dimensional real process matrix A and an inhomogeneous term c. The parameter identifiability and sufficient conditions for completely identification of A and c are obtained. Further discussion shows that the obtained sufficient conditions are not always necessary. The approach can be generalized to finite-level open quantum systems in an arbitary Markovian environment.
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Zhou, W., Schirmer, S., Gong, E. et al. Identification of Markovian open system dynamics for qubit systems. Chin. Sci. Bull. 57, 2242–2246 (2012). https://doi.org/10.1007/s11434-012-5180-5
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DOI: https://doi.org/10.1007/s11434-012-5180-5