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Identification of Markovian open system dynamics for qubit systems |
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| Authors: | WeiWei Zhou Sophie Schirmer ErLing Gong HongWei Xie Ming Zhang |
| Institution: | 1. Department of Automatic Control, College of Mechatronics and Automation, National University of Defense Technology, Changsha, 410073, China 2. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, UK 3. Physics Department, College of Science, Swansea University, Singleton Park, Swansea, SA2 8PP, UK |
| 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. |
| Keywords: | open quantum systems system identification Laplace transform projective measurement |
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